Publications of the faculty of the Mathematics Department at WWU
We want to make this list as comprehensive as possible. Please email suggestions to Branko Ćurgus.
Names highlighted gray and bolded with profile links are Current Faculty
Names highlighted gray are Former Faculty
Names highlighted gray and bolded are Current or Former Students
Outlined items are books
Currently the list contains 731 items.
2026
- An elementary derivation of 3-cycles for a quadratic map. Aequationes Mathematicae 100 (2026), no. 4 Paper No. 60, 11 pp. DOI: 10.1007/s00010-026-01296-4
- Fractional parabolic theory as a high-dimensional limit of fractional elliptic theory. NoDEA. Nonlinear Differential Equations and Applications. 33 (2026), no. 1, Paper No. 16, 76 pp. DOI: 10.1007/s00030-025-01145-4
- Positive braids minimize ascending number. Journal of Knot Theory and its Ramifications 35 (2026), no. 1, Paper No. 2550072, 13 pp. . DOI: 10.1142/S0218216525500725
- The fundamental theorem of arithmetic in the context of linear algebra. The Mathematical Intelligencer 48 (2026), no. 2, 144-148. DOI: 10.1007/s00283-025-10475-1
- Operators Without Eigenvalues in Finite-Dimensional Vector Spaces: Linearization and Spectral Equivalence. Integral Equations and Operator Theory. 98 (2026), Issue 4, Article 39 , 46 pp. DOI: 10.1007/s00020-026-02858-6
- Exact ranges of certain generalized polynomials with rational parameters. Annals of West University of Timisoara - Mathematics and Computer Science. 62 (2026), no. 1, 60-71. DOI: 10.2478/awutm-2026-0006
- Asymptotic optimality of the Wilson-Hilferty cube-root transformation on the gamma distribution for higher-order odd central moments. Statistics & Probability Letters. 233 (2026), Paper No. 110680, 6 pp. DOI: 10.1016/j.spl.2026.110680
- Repellent properties of perfect powers on partition functions: a heuristic approach. Research in the Mathematical Sciences. 13 (2026), Article number 40, DOI: 10.1007/s40687-026-00611-4
- A simple closed-form approximation to the prime-counting function. The American Mathematical Monthly. 133 (2026), no. 5, 471. DOI: 10.1080/00029890.2026.2621649
- Convex Interval Hull of Finite Sets in Real Linear Spaces: Extreme Points and Unbounded Images. Journal of Convex Analysis. 33 (2026), no. 1, 1-18.
2025
- Modeling information flow in a computer processor with a multi-stage queuing model. Physica D. Nonlinear Phenomena 471 (2025), Paper No. 134446, 13 pp. DOI: 10.1016/j.physd.2024.134446
- Empirical likelihood change point detection in quantile regression models. Computational Statistics. 40 (2025), no. 2, 999-1020. DOI: 10.1007/s00180-024-01526-w
- Ribbon numbers of 12-crossing knots. Journal of Knot Theory and its Ramifications 34 (2025), no. 13 Paper No. 2550066, 45 pp. DOI: 10.1142/S021821652550066X
- A categorical characterization of quantum projective Z-spaces. Applied Categorical Structures. A Journal Devoted to Applications of Categorical Methods in Algebra, Analysis, Computer Science, Logic, Order and Topology 33 (2025), no. 2 Paper No. 14, 46 pp. DOI: 10.1007/s10485-025-09806-2
- Bridge trisections and Seifert solids. Algebraic & Geometric Topology 25 (2025), no. 3, 1501-1522. DOI: 10.2140/agt.2025.25.1501
- The augmented external activity complex of a matroid. journal of combinatorics 16 (2025), no. 3, 327–361. DOI: 10.4310/JOC.250830033231
- Mesas of Stirling permutations. journal of combinatorics 16 (2025), no. 3, 387-403. DOI: 10.4310/JOC.250830033838
- Knots bounding nonisotopic ribbon disks. Journal of Topology. 18 (2025), no. 4, Paper No. e70047, 18 pp. . DOI: 10.1112/topo.70047
- Floor, ceiling and the space between. Annals of West University of Timisoara - Mathematics and Computer Science. 61 (2025), 131-156. DOI: 10.2478/awutm-2025-0010
- Compact T(1) theorem à la Stein. Journal of Functional Analysis. 289 (2025), 7, 111052. DOI: 10.1016/j.jfa.2025.111052
- Fractional Leibniz rule on the torus. Proceedings of the American Mathematical Society. 153 (2025), 207-221. DOI: 10.1090/proc/17007
- An update on the compactness of bilinear commutators. The Mathematical Heritage of Guido Weiss. Applied and Numerical Harmonic Analysis, Birkhäuser (2025), 83-100. DOI: 10.1007/978-3-031-76793-7_4
- Compact bilinear operators and paraproducts revisited. Canadian Mathematical Bulletin. 68 (2025), no. 1, 44-59. DOI: 10.4153/S000843952400047X
- Operators Without Eigenvalues in Finite-Dimensional Vector Spaces: Self-Adjoint Couplings and Shtraus Subspaces. Complex Analysis and Operator Theory. 19 (2025), 201, DOI: 10.1007/s11785-025-01812-5
- Symbolic calculus for a class of pseudodifferential operators with applications to compactness. The Journal of Geometric Analysis. 35 (2025), no. 301, DOI: 10.1007/s12220-025-02128-8
2024
- Indefinite Sturm–Liouville Operators in Polar Form. Integral Equations and Operator Theory. 96 (2024), no. 1, Article number 2, DOI: 10.1007/s00020-023-02746-3
- Nonlinear continuous data assimilation. Evolution equations and Control Theory. 13 (2024), no. 2, 329-348. DOI: 10.3934/eect.2023048
- Replicable functions arising from code-lattice VOAs fixed by automorphisms. Journal of Algebra. 642 (2024), 159-202. DOI: 10.1016/j.jalgebra.2023.12.008
- Diophantine approximations for a class of recursive sequences. The Mathematical Gazette. 108.41 (2024), 518-521. DOI: 10.1017/mag.2024.125
- Two Block Splitting Iteration Methods for Solving Complex Symmetric Linear Systems from Complex Helmholtz Equation. Mathematics. 12 (2024), 12, DOI: 10.3390/math12121888
- Toric multisections and curves in rational surfaces. Indiana University Mathematics Journal. 73 (2024), no. 4, 1269-1306. DOI: 10.1512/iumj.2024.73.9945
- Almost minimizers for the thin obstacle problem with variable coefficients. Interfaces and Free Boundaries. 26 (2024), no. 3, 321-380. DOI: 10.4171/IFB/507
- Note on three-fold branched covers of \(S^4\). Université de Grenoble. Annales de l'Institut Fourier. 74 (2024), no. 3, 1957-1987. DOI: 10.1090/tran/9051
- Noncommutative linear systems and noncommutative elliptic curves. Transactions of the American Mathematical Society. 377 (2024), no. 3, 1957-1987. DOI: 10.1090/tran/9051
- The Pólya-Szegő inequality for smoothing rearrangements. Journal of Functional Analysis. 287 (2024), no. 2, Paper No. 110422, 56 pp. DOI: 10.1016/j.jfa.2024.110422
- Filling braided links with trisected surfaces. Algebraic and Geometric Topology. 24 (2024), no. 2, 803-895. DOI: 10.2140/agt.2024.24.803
- Two-phase almost minimizers for a fractional free boundary problem. NoDEA. Nonlinear Differential Equations and Applications. 31 (2024), no. 3, Paper No. 45, 39 pp. DOI: 10.1007/s00030-024-00937-4
- Modeling the interplay of oscillatory synchronization and aggregation via cell-cell adhesion. Nonlinearity. 37 (2024), no. 3, Paper No. 035016, 30 pp. DOI: 10.1088/1361-6544/ad237a
- Variable-coefficient parabolic theory as a high-dimensional limit of elliptic theory. Calculus of Variations and Partial Differential Equations. 63 (2024), no. 2, Paper No. 40, 47 pp. DOI: 10.1007/s00526-023-02644-x
- Asymptotic optimality of the square-root transformation on the gamma distribution using the Kullback-Leibler information number criterion. Statistics & Probability Letters. 210 (2024), Paper No. 110118, 7 pp. DOI: 10.1016/j.spl.2024.110118
2023
- A two-galectin network establishes mesenchymal condensation phenotype in limb development. Mathematical Biosciences. 365 (2023), Paper No. 109054, 10 pp. DOI: 10.1016/j.mbs.2023.109054
- Modeling and forecasting percent changes in national park visitation using social media. Journal of Forecasting. 42 (2023), no. 6, 1502-1518. DOI: 10.1002/for.2965
- Null, recursively starlike-equivalent decompositions shrink. Glasgow Mathematical Journal. 65 (2023), no. 2, 951-1039. DOI: 10.1007/s00222-023-01194-5
- Tautological classes of matroids. Inventiones Mathematicae. 233 (2023), no. 2, 951-1039. DOI: 10.1007/s00222-023-01194-5
- Equivariant hyperbolization of 3-manifolds via homology cobordisms. Topology and its Applications. 333 (2023), Paper No. 108485, 24 pp. DOI: 10.1016/j.topol.2023.108485
- Robert Israel “Bob” Jewett (1937–2022). Notices of the American Mathematical Society. 70 (2023), no. 5, 772-781.
- Pinnacle sets of signed permutations. Discrete Mathematics. 346 (2023), no. 7, Paper No. 113439, 12 pp. DOI: 10.1016/j.disc.2023.113439
- Lie PCA: density estimation for symmetric manifolds. Applied and Computational Harmonic Analysis. 65 (2023), 279-295. DOI: 10.1016/j.acha.2023.03.001
- Model selection using PRESS statistic. Computational Statistics. 38 (2023), no. 1, 285-298. DOI: 10.1007/s00180-022-01228-1
- Branch points for (almost-)minimizers of two-phase free boundary problems. Forum of Mathematics. Sigma. 11 (2023), Paper No. e1, 28 pp. DOI: 10.1017/fms.2022.105
- Operators without eigenvalues in finite-dimensional vector spaces: Essential uniqueness of the model. Linear Algebra and its Applications. 679 (2023), 86-98. DOI: 10.1016/j.laa.2023.09.001
- Discrete bilinear operators and commutators. Journal of Geometric Analysis. 33 (2023), no. 3, Paper No. 102, 16 pp. DOI: 10.1007/s12220-022-01136-2
- An Overview of Almost Minimizers of Bernoulli-Type Functionals. In: Mengesha, T., Salgado, A.J. (eds). A³N²M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models. The IMA Volumes in Mathematics and its Applications. 165 (2023), Springer, Cham, pp 295-319. DOI: 10.1007/978-3-031-34089-5_8
- Physics-Informed Neural Networks for Bingham Fluid Flow Simulation Coupled with an Augmented Lagrange Method. AppliedMath. 3 (2023), no. 3, 525-551. DOI: 10.3390/appliedmath3030028
- Dispersive estimates for kinetic transport equation in modulation spaces. Filomat. 37 (2023), no. 28, 9587-9593. DOI: 10.2298/FIL2328587C
2022
- Doubly pointed trisection diagrams and surgery on 2-knots. Mathematical Proceedings of the Cambridge Philosophical Society. 172 (2022), no. 1, 163-195. DOI: 10.1017/S0305004121000165
- Model Selection Using PRESS Statistic. Computational Statistics. 38 (2022), no. 1, 285-298. DOI: 10.1007/s00180-022-01228-1
- Intersections of random sets. Journal of Applied Probability. 59 (2022), no. 1, 131-151. DOI: 10.1017/jpr.2021.34
- Full rotational symmetry from reflections or rotational symmetries in finitely many subspaces. Indiana University Mathematics Journal. 71 (2022), no. 2, 767-784. DOI: 10.1512/iumj.2022.71.9818
- Convergence of symmetrization processes. Indiana University Mathematics Journal. 71 (2022), no. 2, 785-817. DOI: 10.1512/iumj.2022.71.9170
- MSE-optimal K-factor of the Elo rating system for round-robin tournament. Journal of Quantitative Analysis in Sports. 18 (2022), no. 1, 59-82. DOI: 10.1515/jqas-2021-0079
- Neural collapse with unconstrained features. Sampling Theory, Signal Processing, and Data Analysis. 20 (2022), no. 2, Paper no. 11, 13pp. DOI: 10.1007/s43670-022-00027-5
- Bridge trisections and classical knotted surface theory. Pacific Journal of Mathematics. 319 (2022), no. 2, 343-369. DOI: 10.2140/pjm.2022.319.343
- Equivariant \(K\)-Theory classes of matrix orbit closures. International Mathematics Research Notices. IMRN. 2022 (2022), no. 18, 14105-14133. DOI: 10.1093/imrn/rnab135
- Bridge trisections in rational surfaces. Journal of Topology and Analysis. 14 (2022), no. 3, 655-708. DOI: 10.1142/S1793525321500047
- On Generating Distributions with the Memoryless Property. The American Statistician. 76 (2022), no. 3, 280-285. DOI: 10.1080/00031305.2021.2006782
2021
- Permutation tests are robust and powerful at 0.5% and 5% significance levels. Behavior Research Methods. 53 (2021), 2712-2724. DOI: 10.3758/s13428-021-01595-5
- Regularity and Convergence Results of the Velocity-Vorticity-Voigt Model of the 3D Boussinesq Equations. Acta Applicandae Mathematicae. 176 (2021), Article no. 8, DOI: 10.1007/s10440-021-00453-y
- Empirical Likelihood for Change Point Detection in Time Series Models. Journal of Korean Statistical Society. 50 (2021), no. 1, 69-67. DOI: 10.1007/s42952-020-00061-w
- Regularity for almost-minimizers of variable coefficient Bernoulli-type functionals. Mathematische Zeitschrift. 299 (2021), no. 3-4, 2131-2169. DOI: s00209-021-02719-5
- On a Bernoulli-type overdetermined free boundary problem. Annales Fennici Mathematici. 46 (2021), 601-618.
- Symplectic 4-manifolds admit Weinstein trisections. Journal of Topology. 14 (2021), no. 2, 641-673. DOI: 10.1112/topo.12192
- Morphisms to noncommutative projective lines. Proceedings of the American Mathematical Society. 149 (2021), no. 7, 2789-2803. DOI: 10.1090/proc/15386
- On a conjecture of Nagy on extremal densities. SIAM Journal on Discrete Mathematics. 35 (2021), no. 1, 294-306. DOI: 10.1137/19M1296525
- Branched covers bounding rational homology balls. Algebraic and Geometric Topology. 21 (2021), no. 7, 3569-3599. DOI: 10.2140/agt.2021.21.3569
- Local duality for connected Z-algebras. Journal of Pure and Applied Algebra. 225 (2021), no. 9, Paper No. 1066676, 22 pp. DOI: 10.1016/j.jpaa.2021.106676
- Kesten-McKay law for random subensembles of Paley equiangular tight frames. Constructive Approximation. 53 (2021), no. 2, 381-402. DOI: 10.1007/s00365-020-09516-z
- Congruences satisfied by eta-quotients. Proceedings of the American Mathematical Society. 149 (2021), no. 3, 1039-1051. DOI: 10.1090/proc/15293
- Washek Pfeffer: November 14, 1936-January 3, 2021 [Obituary]. Real Analysis Exchange. 46 (2021), no. 2, 269-278.
- Capturing and analyzing pattern diversity: an example using the melanistic spotted patterns of leopard geckos. PeerJ Life & Environment. Sep 10 (2021), 9:e11829. DOI: 10.7717/peerj.11829
- Spatial waves and temporal oscillations in vertebrate limb development. Biosystems. 208 (2021), 104502, DOI: 10.1016/j.biosystems.2021.104502
2020
- Modulation Spaces. With Applications to Pseudodifferential Operators and Nonlinear Schrödinger Equations. Series: Applied and Numerical Harmonic Analysis, Birkhäuser (2020), 1st edition, XVI+169 pp. DOI: 10.1007/978-1-0716-0332-1 ISBN 978-1-07-160332-1
- Numerical solution of separable nonlinear equations with a singular matrix at the solution. Numerical Algorithms. 85 (2020), no. 4, 1195-1211. DOI: 10.1007/s11075-019-00861-0
- Modulation spaces with scaling symmetry. Applied and Computational Harmonic Analysis. 48 (2020), no. 1, 496-507. DOI: 10.1016/j.acha.2019.04.005
- Three convolution inequalities on the real line with connections to additive combinatorics. Journal of Number Theory. 207 (2020), 42-55. DOI: 10.1016/j.jnt.2019.07.001
- General volumes in the Orlicz–Brunn–Minkowski theory and a related Minkowski problem II. Calculus of Variations and Partial Differential Equations. 59 (2020), no. 1, Article 15, 33 pp. DOI: 10.1007/s00526-019-1657-2
- Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach. Mathematische Annalen. 376 (2020), 61-102. DOI: 10.1007/s00208-019-01870-z
- Mathematical modeling of chondrogenic pattern formation during limb development: Recent advances in continuous models. Mathematical Biosciences. 322 (2020), 108319, DOI: 10.1016\j.mbs.2020.108319
- Nonparametric multiple comparisons. Behavior Research Methods. 52 (2020), 489-502. DOI: 10.3758/s13428-019-01247-9
- Kymatio - Scattering Transforms in Python . Kymatio - Scattering Transforms in Python. 21(60) (2020), 6-Jan.
- Operators without eigenvalues in finite-dimensional vector spaces. Linear Algebra and its Applications. 605 (2020), 63-117. DOI: 10.1016/j.laa.2020.07.007
- Approximate continuous data assimilation of the 2D Navier-Stokes equations via the Voigt-regularization with observable data. Evolution equations and Control Theory. 9 (2020), 3, 733-751. DOI: 10.3934/eect.2020031
- A robust test for checking the homogeneity of variability measures and its application to the analysis of implicit attitudes. Journal of Educational and Behavioral Statistics. 45 (2020), 4, 403-425. DOI: 10.3102/1076998619883874
- Stability of Linear Multistep Time Iterations with the WENO5 Discretization at Discontinuities. Journal of Scientific Computing. 84 (2020), 3, 24 pp. DOI: 10.1007/s10915-020-01300-2
- The fractional unstable obstacle problem. Nonlinear Analysis. Theory, Methods & Applications. 193 (2020), 19 pp. DOI: 10.1016/j.na.2019.02.012
- Rearrangement and polarization. Advances in Mathematics. 374 (2020), 51 pp. DOI: 10.1016/j.aim.2020.107380
- Modi ed Jackknife Empirical Likelihood. Advances and Applications in Statistics. 60 (2020), 2, 201-215. DOI: 10.17654/AS060020201
- Inference for Long-memory Time Series Models Based on Modi ed Empirical Likelihood. Austrian Journal of Statistics. 49 (2020), 5, 68-79. DOI: 10.17713/ajs.v49i5.983
- Topological spines of 4-manifolds. Algebraic and Geometric Topology. 20 (2020), 7, 3589-3606. DOI: 10.2140/agt.2020.20.3589
- Numerical approach to a nonlocal advection-reaction-diffusion model of cartilage pattern formation. Mathematical and Computational Applications. 25 (2020), 2, 21 pp. DOI: 10.3390/mca25020036
- Multiscale modeling of vertebrate limb development. Wiley Interdisciplinary Reviews: Systems Biology and Medicine. 12 (2020), no. 4 e1485, DOI: 10.1002/wsbm.1485
2019
- Solving separable nonlinear least squares problems using the QR factorization. Journal of Computational and Applied Mathematics. 345 (2019), 48-58. DOI: 10.1016/j.cam.2018.06.007
- Continuous data assimilation for the 3D primitive equations of the ocean. Communications on Pure and Applied Analysis. 18 (2019), no. 2, 643-661. DOI: 10.3934/cpaa.2019032
- Global well-posedness of the velocity-vorticity-Voigt of the 3D Navier-Stokes equations. Journal of Differential Equations. 266 (2019), no. 5, 2435-2465. DOI: 10.1016/j.jde.2018.08.033
- General volumes in the Orlicz–Brunn–Minkowski theory and a related Minkowski problem I. Calculus of Variations and Partial Differential Equations. 58 (2019), no. 1, 58:12. DOI: 10.1007/s00526-018-1449-0
- On the probabilistic Cauchy theory for nonlinear dispersive PDEs. Landscapes of Time-Frequency Analysis, Applied and Numerical Harmonic Analysis Birkhäuser/Springer (2019), 1-32. DOI: 10.1007/978-3-030-05210-2_1
- Strongly singular bilinear Calderón-Zygmund operators and a class of bilinear pseudodifferential operators. Journal of the Mathematical Society of Japan. 71 (2019), no. 2, 569-587. DOI: 10.2969/jmsj/79327932
- Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on \(\mathbb{R}^3\). Transactions of the American Mathematical Society. 6 (2019), 114-160. DOI: 10.1090/btran/29
- An abstract characterization of noncommutative projective lines. Journal of Noncommutative Geometry. 13 (2019), no. 7, 517-552. DOI: 10.4171/JNCG/329
- A representation theoretic study of non-commutative symmetric algebras. Proceedings of the Edinburgh Mathematical Society. 63 (2019), no. 3, 875-887. DOI: 10.1017/S0013091518000871
- Isolating and quantifying the role of developmental noise in generating phenotypic variation. PLoS Computational Biology. 15(4) (2019), e1006943, DOI: 10.1371/journal.pcbi.1006943
- Synchronization of Hes1 Oscillations Coordinates and Refines Condensation Formation and Patterning of the Avian Limb Skeleton. Mechanisms of Development. 48 (2019), no. 156, 41-54. DOI: 10.1016\j.mod.2019.03.001
- Are hybrid sit-stand postures a good compromise between sitting and standing? Ergonomics. 62 (2019), Issue 6, 811-822. DOI: 10.1080/00140139.2019.1577496
- The role of somatosensory input in target localization during binocular and monocular viewing while performing a high precision reaching and placement task. Experimental Eye Research. 183 (2019), 76-83. DOI: 10.1016/j.exer.2018.08.013
- Inference for Short-memory Time Series Models Based on Modi ed Empirical Likelihood. Australian & New Zealand Journal of Statistics. 62 (2019), no. 3, 322-339. DOI: 10.1111/anzs.12305
2018
- Necessary conditions for the boundedness of linear and bilinear commutators on Banach function spaces. Mathematical Inequalities & Applications. 21 (2018), no. 1, 1-16. DOI: 10.7153/mia-2018-21-01
- In vivo osteoconductivity of surface modified Ti-29Nb-13Ta-4.6Zr alloy with low dissolution of toxic trace elements. PLoS ONE. 13(1) (2018), e0189967, DOI: 10.1371/journal.pone.0189967
- Commutators of bilinear pseudodifferential operators and Lipschitz functions. Journal of Fourier Analysis and Applications. 24 (2018), no. 3, 759-779. DOI: 10.1007/s00041-016-9519-1
- Characterization of compactness of commutators of bilinear singular integral operators. Proceedings of the American Mathematical Society. 146 (2018), 3943-3953. DOI: 10.1090/proc/14050
- Highly connected subgraphs of graphs with given independence number. European Journal of Combinatorics 70 (2018), 212-218. DOI: 10.1016/j.ejc.2018.01.004
- What do income tests tell us about the gap between WTA and WTP for public goods? Journal of Environmental Economics and Management. 90 (2018), 134-146. DOI: 10.1016/j.jeem.2018.05.001
- A happy case of mathematical (mis)induction. Gazeta Matematica. no. 1-2 (2018), no. 1-2, 41-44.
- Operations between functions. Communications in Analysis and Geometry. 26 (2018), no. 4, 787-855. DOI: 10.4310/CAG.2018.v26.n4.a5
- Matrix orbit closures. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 59 (2018), no. 3, 397-430. DOI: 10.1007/s13366-018-0402-x
- Internal zonotopal algebras and the monomial reflection groups \(G(m,1,n).\). Journal of Combinatorial Theory, Series A. 159 (2018), 1-25. DOI: 10.1016/j.jcta.2018.05.001
- Cross-disciplinary, whole school education reform in secondary schools: Three critical components. School-University Partnerships. 11 (2018), no. 1, 46-56.
- The vertebrate limb: An evolving complex of self-organizing systems. Progress in Biophysics and Molecular Biology. 137 (2018), 12-24. DOI: 10.1016\j.pbiomolbio.2018.01.002
- The Singular Free Boundary in the Signorini Problem for Variable Coefficients. Indiana University Mathematics Journal. 67 (2018), no. 5, 1893-1934. DOI: 10.1512/iumj.2018.67.7464
2017
- Symmetrization in geometry. Advances in Mathematics. 306 (2017), 51-88. DOI: 10.1016/j.aim.2016.10.003
- Sobolev-BMO and fractional integrals on super-critical ranges of Lebesgue spaces. Journal of Functional Analysis. 272 (2017), no. 2, 631-660. DOI: 10.1016/j.jfa.2016.10.015
- Stability of Turing-Type Patterns in a Reaction-Diffusion System with an External Gradient. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 27 (2017), no. 1, 1750003, DOI: 10.1142/S0218127417500031
- Multilinear weighted norm inequalities under integral type regularity conditions. Harmonic Analysis, Partial Differential Equations and Applications (In Honor of Richard L. Wheeden). S. Chanillo, B. Franchi, G. Lu, C. Perez, E.T. Sawyer (Eds.), Birkhäuser (2017), 193-216.
- Peripheral huntingtin silencing does not ameliorate central signs of disease in the B6.HttQ111/+ mouse model of Huntington's disease. PLoS ONE. 12(4) (2017), e0175968, DOI: 10.1371/journal.pone.0175968
- Tiling annular regions with skew and T-tetrominoes. Involve. 10 (2017), no. 3, 505-521. DOI: 10.2140/involve.2017.10.505
- Continuum percolation with holes. Statistics & Probability Letters. 126 (2017), 212-218. DOI: 10.1016/j.spl.2017.03.010
- Unique coverage in Boolean models. Statistics & Probability Letters. 123 (2017), 1-7. DOI: 10.1016/j.spl.2016.11.020
- Rainbow Turán Problems for Paths and Forests of Stars. journal of combinatorics 24 (2017), no. 1, Paper 1.34, 15 pp. DOI: 10.37236/6430
- An efficient algorithm for the separable nonlinear least squares problem. Algorithms. 10 (2017), no. 3, 10 pp. DOI: 10.3390/a10030078
- The discrete Calderón reproducing formula of Frazier and Jawerth. Contemporary Mathematics. 693 (2017), 79-108.
- Developing a framework for mathematical knowledge for improving the content preparation of elementary teachers. Proceedings of the 39th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education Indianapolis, IN: Purdue University (2017),
- Improved short-term point and interval forecasts of the daily maximum tropospheric ozone levels via singular spectrum analysis. Environmetrics. 28 (2017), e2479, DOI: 10.1002/env.2479
- Equivariant Chow classes of matrix orbit closures. Transformation Groups. 22 (2017), no. 3, 631-643. DOI: 10.1007/s00031-016-9406-5
- Weierstrass points on \(X^+_0(p)\) and supersingular \(j\)-invariants. Research in the Mathematical Sciences. 4 (2017), Paper No. 25, 16 pp. DOI: 10.1186/s40687-017-0115-z
- Cloud clock. Teaching Children Mathematics. 24 (2017), no. 2, 74-77.
- Comparing the preparedness, content knowledge, and instructional quality of elementary science specialists and self-contained teachers. Journal of Research in Science Teaching. 54 (2017), no. 10, 1302-1321. DOI: 10.1002/tea.21406
- Analysis of Optical Losses in High-Efficiency CuInS2‑Based Nanocrystal Luminescent Solar Concentrators: Balancing Absorption versus Scattering . Journal of Physical Chemistry C. 121 (6) (2017), 3252-3260. DOI: 10.1021/acs.jpcc.6b12379
- Predictive modeling of nanoscale domain morthology in solution-processed organic thin films. Physical Review Materials. 1(4) (2017), 043404, 9 pages. DOI: 10.1103/PhysRevMaterials.1.043404
2016
- Rank deficiencies and bifurcation into affine subspaces for separable parameterized equations. Mathematics of Computation. Volume 85 (2016), 271-293. DOI: 10.1090/mcom/2968
- Problem solving in all seasons: Grades 3-5. Reston, VA: National Council of Teachers of Mathematics (2016),
- Reflective analysis as a tool for task redesign: The case of prospective elementary teachers solving and posing fraction comparison problems. Journal of Mathematics Teacher Education. 19 (2016), no. 2, 123-148. DOI: 10.1007/s10857-015-9334-7
- Reverse and dual Loomis-Whitney-type inequalities. Transactions of the American Mathematical Society. 368 (2016), no. 7, 5093-5124. DOI: 10.1090/tran/6668
- Exploratory analysis and modeling of stock returns. Journal of Computational and Graphical Statistics. 25(2) (2016), 363-381. DOI: 10.1080/10618600.2014.988338
- Is intervertebral disc pressure linked to herniation?: An in-vitro study using a porcine model. Journal of Biomechanics. 49(9) (2016), 1824-1830. DOI: 10.1016/j.jbiomech.2016.04.018
- Perron's method for \(p\)-harmonious functions. Electronic Journal of Differential Equations. Vol. 2016 (2016), 123, 12-Jan.
- Characterizing the dual mixed volume via additive functionals. Indiana University Mathematics Journal. 65 (2016), no. 1, 69-91.
- An augmented Lagrangian approach with enhanced local refinement to simulating yield stress fluid flows around a spherical gas bubble. Forging connections between computational mathematics and computational geometry. Springer Proceedings in Mathematics & Statistics. 124 (2016), 3-12.
- Secrecy coverage in two dimensions. Advances in Applied Probability. 48 (2016), no. 1, 1-12.
- Quantum mock modular forms arising from eta-theta functions. Research in Number Theory. 2 (2016), 2:14. DOI: 10.1007/s40993-016-0045-7
- A generalization of Watts's theorem: right exact functors on module categories. Communications in Algebra. 44 (2016), no. 7, 3160-3170. DOI: 10.1080/00927872.2015.1065873
- Witt's theorem for noncommutative conic curves. Applied Categorical Structures. 24 (2016), no. 4, 407-420. DOI: 10.1007/s10485-015-9402-2
- Species and non-commutative \(\mathbb P^1\)'s over non-algebraic bimodules. Journal of Algebra. 460 (2016), 143-180. DOI: 10.1016/j.jalgebra.2016.03.048
- Assessing equality of means using the overlap of range-preserving confidence intervals. The American Statistician. 70(4) (2016), 325-334. DOI: 10.1080/00031305.2016.1200487
- On a two parameter class of quadratic Diophantine equations. Gazeta Matematica. Series A (2016), No. 1-2, 1-6.
- Finite-codimensional compressions of symmetric and self-adjoint linear relations in Krein spaces. Integral Equations and Operator Theory. 86 (2016), no. 1, 71-95. DOI: 10.1007/s00020-016-2313-2
- Barrier coverage. Random Structures 49 (2016), no. 3, 429-478. DOI: 10.1007/10.1002/rsa.20656
- Deep phylogenomics of a tandem-repeat galectin regulating appendicular skeletal pattern formation. BMC Evolutionary Biology. 16 (2016), no. 1, 162 (11 pages). DOI: 10.1186/s12862-016-0729-6
- Challenging transitions and crossing borders: Preparing novice mathematics teacher educators to support novice K-12 mathematics teachers. Mathematics Teacher Education and Development. 18 (2016), no. 1, 52-69.
- Improving preservice elementary teacher education through the preparation and support of elementary mathematics teacher educators. Proceedings of the 38th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education. Tucson AZ: University of Arizona (2016), 1713-1722.
- Greater Number of Larger Pieces: A Strategy to Promote Prospective Teachers' Fraction Number Sense Development. Proceedings of the 38th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education. Tucson AZ: University of Arizona (2016), 799-805.
- When is a mathematical task a good task? The Mathematics Education of Elementary Teachers: Issues and Strategies for Content Courses. Charlotte, NC: Information Age Publishing (2016), 9-24.
- Elementary content specialization: Models, affordances, and constraints. The International Journal of STEM Education. 3:16 (2016), DOI: 10.1186/s40594-016-0049-9
- A repeat look at repeating patterns. Teaching Children Mathematics. 23 (2016), no. 1, 22-29.
2015
- Somewhat stochastic matrices. The American Mathematical Monthly. 122 (2015), no. 1, 36-42. DOI: 10.4169/amer.math.monthly.122.01.36
- Compact bilinear commutators: The weighted case. Michigan Mathematical Journal. 64 (2015), no. 1, 39-51. DOI: 10.1307/mmj/1427203284
- Crossmodal integration between visual linguistic information and flavour perception. Appetite. 91 (2015), 76-82. DOI: 10.1016/j.appet.2015.03.035
- Compactness properties of commutators of bilinear fractional integrals. Mathematische Zeitschrift. 280 (2015), no. 1-2, 569-582. DOI: 10.1007/s00209-015-1437-4
- On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on \({\mathbb R}^3, d \geq 3\). Transactions of the American Mathematical Society. 2 (2015), 1-50. DOI: 10.1090/btran/6
- Partially fundamentally reducible operators in Krein spaces. Integral Equations and Operator Theory. 82 (2015), no. 4, 469-518. DOI: 10.1007/s00020-014-2204-3
- Linear and bilinear \(T(b)) theorems à la Stein. Proceedings of the American Mathematical Society. 2 (2015), 1-16. DOI: 10.1090/bproc/18
- Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS. Applied and Numerical Harmonic Analysis Excursions in Harmonic Analysis, Volume 4, Birkhäuser (2015), 3-25.
- Synchronization of coupled systems to periodic diagonal solutions with synchronized asymptotic phases. The Journal of Applied Analysis and Computation. 5 (2015), no. 4, 721-730. DOI: 10.11948/2015055
- The dual Orlicz-Brunn-Minkowski theory. Journal of Mathematical Analysis and Applications. 430 (2015), no. 2, 810-829. DOI: 10.1016/j.jmaa.2015.05.016
- Noncommutative Tsen's theorem in dimension one. Journal of Algebra. 434 (2015), 90-114. DOI: 10.1016/j.jalgebra.2015.03.029
- Developing a culture of learning around the edTPA: One university's journey. The New Educator. 11 (2015), 37-59. DOI: 10.1080/1547688X.2014.966401
- Problem solving in all seasons: Prekindergarten-Grade 2. Reston, VA: National Council of Teachers of Mathematics (2015), ISBN 978-0-87353-771-1
- Directionally Bounded Utility and The Executive Pay Puzzle. Theoretical Economics Letters. 5 (2015), 238-245. DOI: 10.4236/tel.2015.52028
- Families of values of the excedent function \(\sigma(n)-2n\). Missouri Journal of Mathematical Sciences. 27 (2015), no. 1, 37-46.
- Instruments to measure elementary preservice teachers' conceptions: An application of the Rasch rating scale model. Educational Research Quarterly. 39 (2015), no. 1, 21-48.
- Modifying children's tasks into cognitively demanding tasks for preservice elementary teachers. Proceedings of the 37th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education. East Lansing, MI: Michigan State University (2015), 984-987.
- Ideals generated by superstandard tableaux. Commutative Algebra and Noncommutative Algebraic Geometry Volume 2 Mathematical Sciences Research Institute Publications 68 (2015), Cambridge Univ. Press, New York, 43-62.
- Statistics education and the Common Core State Standards for mathematical practices. The Statistics Teacher Network. 86 (2015), 9-11.
- Nanocrystals for Luminescent Solar Concentrators. Nano Letters. 15 (2015), 1315-1323. DOI: 10.1021/nl504510t
- Bright CuInS2/CdS Nanocrystal Phosphors for High-Gain Full-Spectrum Luminescent Solar Concentrators. ChemComm. 51 (2015), 9129-9132. DOI: 10.1039/C5CC02007G
2014
- A proof of the main theorem on Bezoutians. Elemente der Mathematik. 69 (2014), no. 1, 33-39. DOI: 10.4171/EM/243
- A characterization of Blaschke addition. Advances in Mathematics. 254 (2014), 396-418. DOI: 10.1016/j.aim.2013.11.017
- Ceva's triangle inequalities. Mathematical Inequalities & Applications. 17 (2014), no. 2, 591-609.
- Smoothing of commutators for a Hörmander class of bilinear pseudodifferential operators. Journal of Fourier Analysis and Applications. 20 (2014), no. 2, 282-300. DOI: 10.1007/s00041-013-9312-3
- Outer median triangles. Mathematics Magazine. 87 (2014), no. 3, 185-195. DOI: 10.4169/math.mag.87.3.185
- Modeling the morphodynamic galectin patterning network of the developing avian limb skeleton. Journal of Theoretical Biology. 346 (2014), 86-108.
- The geometry of arithmetic noncommutative projective lines. Journal of Algebra. 414 (2014), 190-240. DOI: 10.1016/j.jalgebra.2014.05.022
- n Proceedings of the 3rd Annual International Conference on Computational Mathematics, Computational Geometry and Statistics. In Proceedings of the 3rd Annual International Conference on Computational Mathematics, Computational Geometry and Statistics (CMCGS 2014), Singapore, February 3-4 (2014), Global Science & Technology Forum (GSTF) and Springer, 1-6.
- Unconditional stability of a Crank-Nicolson Adams-Bashforth 2 numerical method. International Journal of Numerical Analysis and Modeling. Series B 5 (2014), no. 3, 171-187.
- The Orlicz-Brunn-Minkowski theory: a general framework, additions, and inequalities. Journal of Differential Geometry. 97 (2014), no. 3, 427-476.
- Zero-Reabsorption Doped-Nanocrystal Luminescent Solar Concentrators. ACS Nano. 8 (2014), no. 4, 3461-3467. DOI: 10.1021/nn406360w
- Sterically Engineered Perylene Dyes for High Efficiency Oriented Fluorophore Luminescent Solar Concentrators. Chemistry of Materials. 26 (2014), no. 3, 1291-1293. DOI: 10.1021/cm403286v
- On two common sequences that converge to \(e\). The College Mathematics Journal. 45 (2014), no. 5, 391-392. DOI: 10.4169/college.math.j.45.5.387
2013
- On a class of bilinear pseudodifferential operators. Journal of Function Spaces and Applications. Article ID 560976, 5 pages. DOI: 10.1155/2013/560976
- Anisotropic classes of inhomogeneous pseudodifferential symbols. Collectanea Mathematica. 64 (2013), no. 2, 155-173.
- Geometric reconstruction methods in electron tomography. Ultramicroscopy. 128 (2013), 42-54.
- Solving Separable Nonlinear Equations Using LU Factorization. International Scholarly Research Notices. no. 1, 258072. DOI: 10.1155/2013/258072
- Migration and melanoma incidence rates among Washington state counties. Melanoma Research. 23(4) (2013), 312-320.
- Statistical functional equations and \(p\)-harmonious functions. Advanced Nonlinear Studies. 13 (2013), no. 1, 191-207.
- Compact bilinear operators and commutators. Proceedings of the American Mathematical Society. 141 (2013), no. 10, 3609-3621.
- Non-commutative Mori contractions and \({\mathbb P}^1\!\)-bundles. Advances in Mathematics. 245 (2013), 327-381.
- A structure theorem for \({\mathbb P}^1\!\)-spec \(k\)-bimodules. Algebras and Representation Theory. 16 (2013), no. 3, 659-671.
- Percolation in the secrecy graph. Discrete Applied Mathematics. 161 (2013), no. 13-14, 2120-2132.
- A generalization of Routh's triangle theorem. The American Mathematical Monthly. 120 (2013), no. 9, 841-846. DOI: 10.4169/amer.math.monthly.120.09.841
- The Sobolev inequality on the torus revisited. Publicationes Mathematicae Debrecen. 83 (2013), no. 3, 359-374.
- The Riesz basis property of an indefinite Sturm-Liouville problem with non-Separated boundary conditions. Integral Equations and Operator Theory. 77 (2013), no. 4, 533-557. DOI: 10.1007/s00020-013-2093-x
- Operations between sets in geometry. Journal of the European Mathematical Society. 15 (2013), no. 6, 2297-2352.
- On the Hörmandernder classes of bilinear pseudodifferential operators, II. Indiana University Mathematics Journal. 62 (2013), no. 6, 1733-1764.
- Secrecy coverage. Internet Mathematics. 9 (2013), no. 2-3, 199-216. DOI: 10.1080/15427951.2012.673333
- Iterative scheme for solving optimal transportation problems arising in reflector design. International Scholarly Research Notices: Applied Mathematics. Article ID 635263,
- Side Eddies and Yield Surfaces in Bingham FLuid FLow within Lid-Driven Cavities. International Conference on Frontiers of Energy, Environmental Materials and Civil Engineering (FEEMCE) (2013), edited by Roger D. W. Zheng. DEStech Publications, Inc., Lancaster, PA, 503-508.
- Weak harmonic Maass forms and the principal series for SL(2,\(\mathbb R\)). Lie Groups: Structures, Actions and Representations. Progress in Mathematics, Birkhäuser, New York (2013), 175-184.
- Comprehensive analysis of escape-cone losses from luminescent waveguides. Applied Optics. 52 (2013), no. 6, 1230-1239. DOI: 10.1364/AO.52.001230
- Viking 45 Electric HybridDesign, Construction and Analysis: A Quest for the $10 million Progressive Automotive X Prize. Society of Automotive Engineers. 11th International Conference on Engines & Vehicles (2013), DOI: 10.4271/2013-24-0078
- Strip diagrams: Illuminating proportional reasoning. Mathematics Teaching in the Middle School. 18 (2013), no. 9, 536-542.
- The early years: 1982-1985. The Statistics Teacher Network. Anniversary Issue, 80 (2013), 3-4.
2012
- On the reproducing kernel of a Pontryagin space of vector valued polynomials. Linear Algebra and its Applications. 436 (2012), no. 5, 1312-1343.
- Reaction-Diffusion Systems and External Morphogen Gradients: The Two-Dimensional Case, with an Application to Skeletal Pattern Formation. Bulletin of Mathematical Biology. 74 (2012), no. 3, 666-687. DOI: 10.1007/s11538-011-9689-6
- An augmented Lagrangian approach to simulating yield stress fluid flows around a spherical gas bubble. International Journal for Numerical Methods in Fluids. 69 (2012), no. 3, 731-746. DOI: 10.1002/fld.2609
- Intersections of dilatates of convex bodies. Transactions of the American Mathematical Society. 364 (2012), no. 3, 1193-1210.
- Duals of simple two-sided vector spaces. Communications in Algebra. 40 (2012), no. 7, 2405-2419.
- The targets of information-carrying nanodomains. Journal of Nanoscience and Nanotechnology Nanoscience. 12 (2012), 2239-2247.
- Maximum likelihood estimation of individual inbreeding coefficients and null allele frequencies. Genetics Research. 94 (2012), no. 3, 151-161.
- Enhanced Euler's method to a free boundary porous media flow problem. Numerical Methods for Partial Differential Equations. 28 (2012), no. 5, 1558-1573.
- Determining a rotation of a tetrahedron from a projection. Discrete & Computational Geometry. 48 (2012), no. 3, 749-765.
- A problem of Klee on inner section functions of convex bodies. Journal of Differential Geometry. 91 (2012), no. 2, 261-279.
- Triangles and groups via cevians. Journal of Geometry. 103 (2012), no. 3, 375-408.
- Lightness functions. Advances in Mathematics. 231 (2012), no. 6, 3118-3146.
- Computational and mathematical models of chondrogenesis in vertebrate limbs. Birth Defects Research Part C: Embryo Today: Reviews. 96 (2012), 176-192. DOI: 10.1002/bdrc.21014
- What's in an app? Wisconsin Mathematics Council Journal 64 (2012), no. 1, 12-14.
- Growing patterns: Seeing beyond counting. Teaching Children Mathematics. 19 (2012), no. 4, 254-262.
- The Electoral College. Mathematics Teaching in the Middle School. 18 (2012), no. 2, 118-124.
- Proportioning cats and rats. Mathematics Teaching in the Middle School. 17 (2012), no. 9, 538-543.
- The common core state standards: Where do probability and statistics fit in? The Statistics Teacher Network , Anniversary Issue, 79 (2012), 2-5. The Statistics Teacher Network. Anniversary Issue, 79 (2012), 2-5.
2011
- Modulation spaces, Wiener amalgam spaces, and Brownian motions. Advances in Mathematics. 228 (2011), no. 5, 2943-2981.
- Asymptotic statistical characterizations of \(p\)-harmonic functions of two variables. Rocky Mountain Journal of Mathematics. 41 (2011), no. 2, 293-343.
- Phase retrieval for characteristic functions of convex bodies and reconstruction from covariograms. Journal of the American Mathematical Society. 24 (2011), no. 2, 293-343.
- Mathematics and evidence-based practice: Using clinical research in a new suit-of-clothes. The WERA Educational Journal. 3 (2011), no. 2, 9-11.
- Zeros of classical Eisenstein series and recent developments. WIN - Women in Numbers, Research Directions in Number Theory, Fields Institute Communications, vol. 60. vol. 60, American Mathematical Society, Providence (2011), 251-263.
- Prediction Accuracy of Linear Models for Paired Comparisons in Sports. Journal of Quantitative Analysis in Sports. 7 (2011), no. 3, article 18,
- Stabilization of aqueous electromeric nanodomains. Journal of Computational and Theoretical Nanoscience. 8 (2011), 1400-1408.
- Homeopathic potentization based on nanoscale domains. The Journal of Alternative and Complementary Medicine 17 (2011), 1165-1173.
- Technology tools to support mathematics teaching. Focus in High School Mathematics: Technology to Support Reasoning and Sense-Making National Council of Teachers of Mathematics, Reston, VA (2011), 105-120.
- Connecting mathematical learning goals and complex problems through professional development. Proceedings of the American Educational Research Association (AERA) Annual Conference (2011),
- Stability of the gauge equivalent classes in inverse stationary transport in refractive media. Tomography and inverse transport theory Contemporary Mathematics 559, American Mathematical Society, Providence, RI (2011), 85-100. DOI: 10.1090/conm/559/11074
2010
- What is... a paraproduct? Notices of the American Mathematical Society. 57 (2010), no. 7, 858-860.
- Simulations of luminescent solar concentrators: Effects of polarization and fluorophore alignment. Journal of Applied Physics. 108 (2010), no. 5, 053508,
- An augmented Lagrangian approach to Bingham fluid flows in a lid-driven square cavity with piecewise linear equal-order finite elements. Computer Methods in Applied Mechanics and Engineering. 199 (2010), no. 45-48, 3051-3057.
- Stability of roots of polynomials under linear combinations of derivatives. Constructive Approximation. 32 (2010), no. 3, 523-541.
- Bilinear paraproducts revisited. Mathematische Nachrichten. 283 (2010), no. 9, 1257-1276.
- Anisotropic classes of homogeneous pseudodifferential symbols. Studia Mathematica. 200 (2010), no. 1, 41-66.
- On the Hörmander classes of bilinear pseudodifferential operators. Integral Equations and Operator Theory. 67 (2010), no. 3, 341-364. DOI: 10.1007/s00020-010-1782-y
- Constructing simultaneous Hecke eigenforms. International Journal of Number Theory. 6 (2010), no. 5, 1117-1137.
- The Eilenberg-Watts theorem over schemes. Journal of Pure and Applied Algebra. 214 (2010), no. 11, 1922-1954.
- Gaussian Brunn-Minkowski inequalities. Transactions of the American Mathematical Society. 362 (2010), 10, 5333-5353.
- Sentry selection in wireless networks. Advances in Applied Probability. 42 (2010), no. 1, 1-25.
- A rigorous analysis using optimal transport theory for a two-reflector design problem with a point source. Inverse Problems. 26 (2010), no. 4, 045001, 16 pp.
- On the accuracy of direct forcing immersed boundary methods with projection methods. Journal of Computational Physics. 229 (2010), no. 7, 2479-2496.
- Gauge equivalence in stationary radiative transport through media with varying index of refraction. Inverse Problems and Imaging. 4 (2010), no. 1, 151-167.
- Stability of the gauge equivalent classes in inverse stationary transport. Inverse Problems. 26 (2010), no. 2, 025006, 19 pp.
- Biangular coordinates redux: discovering a new kind of geometry. The College Mathematics Journal. 41 (2010), no. 1, 29-41.
- The Linus sequence. Combinatorics, Probability and Computing. 19 (2010), no. 1, 21-46.
- Zeros of some level 2 Eisenstein series. Proceedings of the American Mathematical Society. 138 (2010), no. 2, 467-480.
- Bifurcation of solutions of separable parameterized equations into lines. Electronic Journal of Differential Equations. 19 (2010), 245-255.
- The scope trials: Variation in sensitivity to scope and WTP with directionally bounded utility functions. Journal of Environmental Economics and Management. 59 (2010), no. 3, 293-301.
- On an open problem from G.M.-B. 10/2008. Gazeta Matematica. Seria B (2010), 7-8-9, 337-340 (in Romanian).
- Putting the right spin on student work. Mathematics Teaching in the Middle School. 16 (2010), no. 2, 208-215.
2009
- Modulation invariant bilinear T(1) theorem. Journal d'Analyse Mathématique. 109 (2009), 279-352.
- Percolation, connectivity, coverage and colouring of random geometric graphs. Handbook of Large-Scale Random Networks. Bolyai Society Mathematical Studies 18 (2009), 117-142.
- Optical tomography for media with variable index of refraction. Cubo. 11 (2009), no. 5, 71-97.
- Interaction of Turing patterns with an external linear morphogen gradient. Nonlinearity. 22 (2009), no. 10, 2541-2560.
- The directed genus of the de Bruijn graph. Discrete Mathematics. 309 (2009), no. 17, 5259-5263.
- Pompeiu's theorem revisited. The College Mathematics Journal. 40 (2009), no. 4, 252-258.
- A new algorithm for 3D reconstruction from support functions. IEEE Transactions on Pattern Analysis and Machine Intelligence. 31 (2009), no. 3, 556-562.
- Local well-posedness of nonlinear dispersive equations on modulation spaces. Bulletin of the London Mathematical Society. 41 (2009), no. 3, 549-558.
- A critical constant for the k-nearest-neighbour model. Advances in Applied Probability. 41 (2009), no. 1, 1-12.
- Capacities, surface area, and radial sums. Advances in Mathematics. 221 (2009), no. 2, 601-626.
- Riesz Bases of Root Vectors of Indefinite Sturm-Liouville Problems with Eigenparameter Dependent Boundary Conditions. II. Integral Equations and Operator Theory. 63 (2009), 473-499. DOI: 10.1007/s00020-009-1659-0
- Brunn-Minkowski-type inequalities related to the Monge–Ampère equation. Advanced Nonlinear Studies. 9 (2009), no. 2, 277-294.
- Highly connected random geometric graphs. Discrete Applied Mathematics. 157 (2009), no. 2, 309-320.
- Numerical bifurcation of separable parameterized equations. 34 (2009), 31-43.
- Domains of water molecules provide mechanisms of potentization in homeopathy. Water. 2 (2009), 1-14. DOI: 10.14294/WATER.2009.9
2008
- Time series modeling of degradation due to outdoor weathering. Communications in Statistics - Theory and Methods. 37 (2008), no. 3-5, 408-424.
- Optical tomography for variable refractive index with angularly averaged measurements. Communications in Partial Differential Equations. 33 (2008), no. 10-12, 2180-2207.
- Quadratic twists and the coefficients of weakly holomorphic modular forms. Journal of the Ramanujan Mathematical Society. 23 (2008), no. 3, 283-309.
- On isoconcentration surfaces of three-dimensional Turing patterns. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 18 (2008), no. 2, 391-406.
- The morphostatic limit for a model of skeletal pattern formation in the vertebrate limb. Bulletin of Mathematical Biology. 70 (2008), no. 2, 460-483.
- Polynomials and spatial Pick-type theorems. Expositiones Mathematicae. 26 (2008), no. 1, 41-53.
- Rank generating functions as weakly holomorphic modular forms. Acta Arithmetica. 133 (2008), no. 3, 267-279.
- Dimensional effects on single molecule kinetics in submicron vacuoles. Journal of Bionanoscience. 2 (2008), 19-26.
- Single molecule action in cancer cells. Journal of Bionanoscience. 2 (2008), 9-18.
- Mechanisms of telomerase-dimer catalysis. Journal of Theoretical Biology. 250 (2008), 512-523.
- Comparison of marker-based pairwise relatedness estimators on a pedigreed plant population. Theoretical and Applied Genetics. 117 (2008), no. 6, 843-855.
- Connectivity of a gaussian network. International Journal of Ad Hoc and Ubiquitous Computing. 3 (2008), no. 3, 204-213.
- On an olympiad problem. Gazeta Matematica. 10 (2008), 476-482 (in Romanian).
- Multiscale models for vertebrate limb development. Current Topics in Developmental Biology. 81, Multiscale Modeling of Developmental Systems (2008), 311-340. DOI: 10.1016/S0070-2153(07)81011-8
2007
- From Genes to Organisms Via the Cell A Problem-Solving Environment for Multicellular Development. Computing in Science & Engineering. 9 (2007), no. 4, 50-60. DOI: 10.1109/MCSE.2007.74
- A Two-dimensional Multiscale Model of Cell Motion in a Chemotactic Field. Single-Cell-Based Models in Biology and Medicine. Mathematics and Biosciences in Interaction (2007), 53-76. DOI: 10.1007/978-3-7643-8123-3_3
- An introduction to discrete point x-rays. Advances in Discrete Tomography and Its Applications. Applied and Numerical Harmonic Analysis (2007), 19-30. DOI: 10.1007/978-0-8176-4543-4_2
- From Heron's formula to a characteristic property of medians in the triangle. Australian Mathematical Society. 34 (2007), no. 4, 217-220.
- The dual Brunn-Minkowski theory for bounded Borel sets: dual affine quermassintegrals and inequalities. Advances in Mathematics. 216 (2007), no. 1, 358-386.
- On a convex operator for finite sets. Discrete Applied Mathematics. 155 (2007), no. 13, 1774-1792.
- A solution to Hammer's X-ray reconstruction problem. Advances in Mathematics. 214 (2007), no. 1, 323-343.
- Time-frequency estimates for pseudodifferential operators. Contemporary Mathematics. Harmonic Analysis, Partial Differential Equations, and Related Topics (2007), 13-22. DOI: 10.1090/conm/428
- Solving rank-deficient separable nonlinear equations. Applied Numerical Mathematics. 57 (2007), no. 5-7, 609-615.
- Unimodular Fourier multipliers for modulation spaces. Journal of Functional Analysis. 246 (2007), no. 2, 366-384.
- Root preserving transformations of polynomials. Mathematics Magazine. 80 (2007), no. 2, 136-138.
- Perturbations of roots under linear transformations of polynomials. Constructive Approximation. 25 (2007), no. 3, 255-277.
- An unexpected limit of expected values. Expositiones Mathematicae. 25 (2007), no. 1, 1-20.
- Detecting intermediates in the telomerase reaction. Journal of Bionanoscience. 1 (2007), 64-72.
- Linkage disequilibrium in wild mice. PLoS Genetics 3 (2007), no. 8, 1487-1495.
- The Mathematics Education "Problem" in Washington State: A Personal View. Curriculum in Context Journal. 34 (2007), no. 1, 18-21.
2006
- A unified approach to computing dynamical equilibria. Canadian Applied Mathematical Quarterly 14 (2006), no. 3, 343-359.
- The Dirichlet problem for the Monge-Ampere equation in convex (but not strictly convex) domains . Electronic Journal of Differential Equations. no. 138, 9 pp.
- Convergence of algorithms for reconstructing convex bodies and directional measures. The Annals of Statistics. 34 (2006), no. 3, 1331-1374.
- Discrete point X-rays. SIAM Journal on Discrete Mathematics. 20 (2006), no. 1, 171-188.
- An exceptional exponential function. The College Mathematics Journal. 37 (2006), no. 5, 344-354.
- Geometric tomography. Second edition. Encyclopedia of Mathematics and its Applications 58. Cambridge University Press, Cambridge (2006), xxii+492 pp. ISBN 978-0-521-68493-4; 0-521-68493-5
- Multiscale dynamics of biological cells with chemotactic interactions: from a discrete stochastic model to a continuous description. Physical Review E. 73 (2006), no. 5, 051901, 11 pp. DOI: 10.1103/PhysRevE.73.051901
- Sobolev space estimates and symbolic calculus for bilinear pseudodifferential operators. Journal of Geometric Analysis. 16 (2006), no. 3, 431-453.
- Shape estimation from support and diameter functions. Journal of Mathematical Imaging and Vision. 24 (2006), no. 2, 229-244. DOI: 10.1007/s10851-005-3625-z
- Riesz Bases of Root Vectors of Indefinite Sturm-Liouville Problems with Eigenparameter Dependent Boundary Conditions. I. Operator Theory and Indefinite Inner Product Spaces. 163 (2006), 75-95. DOI: 10.1007/3-7643-7516-7_4
- Best constants for certain multilinear integral operators. Journal of Inequalities and Applications. Article no. 28582, 12 pp. DOI: 10.1155/JIA/2006/28582
- Modulation space estimates for multilinear pseudodifferential operators. Studia Mathematica. 172 (2006), no. 2, 169-180.
- Roots and polynomials as homeomorphic spaces. Expositiones Mathematicae. 24 (2006), no. 1, 81-95.
- Congruences for the coefficients of weakly holomorphic modular forms. Proceedings of the London Mathematical Society. 93 (2006), no. 3, 304-324.
2005
- Discrete point X-rays of convex lattice sets. Electronic Notes in Discrete Mathematics. 20 (2005), Proceedings of the Workshop on Discrete Tomography and its Applications, 1-13. DOI: 10.1016/j.endm.2005.04.001
- Modulation spaces and a class of bounded multilinear pseudodifferential operators. Journal of Operator Theory. 54 (2005), no. 2, 387-399.
- Optical tomography on simple Riemannian surfaces. Communications in Partial Differential Equations. 30 (2005), no. 7-9, 1379-1400.
- Sums, projections, and sections of lattice sets, and the discrete covariogram. Discrete & Computational Geometry. 34 (2005), no. 3, 391-409.
- Newton's method for singular nonlinear equations using approximate left and right nullspaces of the Jacobian. Applied Numerical Mathematics. 54 (2005), no. 2, 256-265. DOI: 10.1016/j.apnum.2004.09.029
- Reconstruction of orientations of a moving protein domain from paramagnetic data. Inverse Problems. 21 (2005), no. 3, 879-898.
- Regular functions on a product of affine varieties. Communications in Algebra. 33 (2005), no. 4, 1171-1176.
- Shape discrimination by total curvature, with a view to cancer diagnostics. Journal of Microscopy. 217 (2005), no. 1, 49-59. DOI: 10.1111/j.0022-2720.2005.01435.x
- Aleksandrov-type estimates for a parabolic Monge-Ampere equation. Electronic Journal of Differential Equations. no. 11, 8 pp.
- Mechanisms of telomerase binding to telomeres. Physiological Chemistry and Physics 37 (2005), 89-108.
- Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms, by P. Deuflhard (Book Review). SIAM Review. 47 (2005), no. 2, 401-403.
- Wechsler Objective Numerical Dimensions. The Sixteenth Mental Measurements Yearbook Buros Institute of Mental Measurements, Lincoln (NE) (2005), 1106-1110.
- Mental Mathematics 6-14. The Sixteenth Mental Measurements Yearbook Buros Institute of Mental Measurements, Lincoln (NE) (2005), 605-607.
- Mathematics and Phyllotaxis: A 'Natural" Connection. The Social Gardner Spring (2005), 10-16.
2004
- New lower bounds for two multicolor classical Ramsey numbers. Radovi Matematički 13 (2004), no. 1, 15-21.
- An inverse problem for the transport equation in the presence of a Riemannian metric. Pacific Journal of Mathematics. 216 (2004), no. 2, 303-326.
- Fitting invariant curves on billiard tables and the Birkhoff-Herman theorem. New advances in celestial mechanics and Hamiltonian systems Kluwer/Plenum, New York (2004), 29-36.
- Obstructions to directed embeddings of Eulerian digraphs in the plane. European Journal of Combinatorics 25 (2004), no. 6, 877-891.
- A contraction of the Lucas polygon. Proceedings of the American Mathematical Society. 132 (2004), no. 10, 2973-2981.
- Block bootstrap estimation of the distribution of cumulative outdoor degradation. Technometrics 46 (2004), no. 2, 215-224.
- A counterexample in Sturm-Liouville completeness theory. Proceedings of the Royal Society of Edinburgh Section A: Mathematics 134 (2004), no. 2, 244-248.
- Solving separable nonlinear equations with Jacobians of rank deficiency one. Computational and Information Science. Lecture Notes in Computer Science (2004), 99-104. DOI: 10.1007/978-3-540-30497-5_16
- Een constructief bewijs van de middelwaardestelling (A constructive proof of the mean value theorem). Nieuw Archief voor Wiskunde. 5 (2004), no. 5, 315-316.
- From simple rules to cycling in community assembly. Oikos 105 (2004), 349-358.
2003
- Pearls in graph theory. A comprehensive introduction. Reprint of the 1994 revised edition. Dover Publications, Inc., Mineola, NY (2003), x+249. ISBN 0-486-43232-7
- Continuous embeddings, completions and complementation in Krein spaces. Radovi Matematički 12 (2003), no. 1, 37-79.
- The evolution of resource use. Journal of Mathematical Biology. 47 (2003), no. 1, 46-78.
- Geometric tomography and local stereology. Advances in Applied Mathematics. 30 (2003), no. 3, 397-423. DOI: 10.1016/S0196-8858(02)00502-X
- Standard symmetric operators in Pontryagin spaces: a generalized von Neumann formula and minimality of boundary coefficients. Journal of Functional Analysis. 198 (2003), no. 2, 361-412.
- Bracket products for Weyl-Heisenberg frames. Advances in Gabor Analysis. Applied and Numerical Harmonic Analysis (2003), 71-98. DOI: 10.1007/978-1-4612-0133-5_4
- Reconstruction of convex bodies from brightness functions. Discrete & Computational Geometry. 29 (2003), no. 2, 279-303.
- On the location of critical points of polynomials. Proceedings of the American Mathematical Society. 131 (2003), no. 1, 253-264.
- The effect of the mixing process on reaction kinetics. International Journal of Chemical Kinetics. 35 (2003), 484-496. DOI: 10.1002/kin.10149
- Willingness to Pay and Willingness to Accept: How Much Can They Differ? Comment. The American Economic Review 93 (2003), no. 1, 458-463.
2002
- Form domains and eigenfunction expansions for differential equations with eigenparameter dependent boundary conditions. Canadian Journal of Mathematics. 54 (2002), no. 6, 1142-1164. DOI: 10.4153/CJM-2002-043-6
- Discreteness of the spectrum of second-order differential operators and associated embedding theorems. Journal of Differential Equations. 184 (2002), no. 2, 526-548.
- The Brunn-Minkowski inequality. Bulletin of the American Mathematical Society 39 (2002), no. 3, 355-405.
- Permanence of weakly coupled vector fields. SIAM Journal on Mathematical Analysis. 33 (2002), no. 5, 1048-1057. DOI: 10.1137/S0036141001387434
- Kolmogorov vector fields with robustly permanent subsystems. Journal of Mathematical Analysis and Applications. 267 (2002), no. 1, 329-337.
- Analyzing the Weyl-Heisenberg frame identity. Applied and Computational Harmonic Analysis. 12 (2002), no. 2, 171-178. DOI: 10.1006/acha.2001.0374
- Hemoglobin / O2 systems: mechanistic discrimination based on Acker's model. Physiological Chemistry and Physics 34 (2002), 17-42.
- Golden, \(\sqrt{2}\), and \(\pi\) Flowers: A Spiral Story. Mathematics Magazine. 75 (2002), no. 3, 163-172.
- Parasitoid sex allocation affects coevolution of patch selection in host-parasitoid systems. Evolutionary Ecology Research 4 (2002), 701-718.
2001
- How to differentiate and integrate sequences. The American Mathematical Monthly. 108 (2001), no. 10, 911-921.
- Urn models, replicator processes, and random genetic drift. SIAM Journal on Applied Mathematics. 61 (2001), no. 6, 2148-2167. DOI: 10.1137/S0036139999352857
- New lower bounds of ten classical Ramsey numbers. The Australasian Journal of Combinatorics. 24 (2001), 81-90.
- Obstruction sets for outer-cylindrical graphs. Journal of Graph Theory. 38 (2001), no. 1, 42-64. DOI: 10.1002/jgt.1023
- A Brunn-Minkowski inequality for the integer lattice. Transactions of the American Mathematical Society. 353 (2001), no. 10, 3995-4024.
- Chaos and population disappearances in simple ecological models. Journal of Mathematical Biology. 42 (2001), no. 3, 239-260. DOI: 10.1007/s002850000070
- The linearization of boundary eigenvalue problems and reproducing kernel Hilbert spaces. Linear Algebra and its Applications. 329 (2001), no. 1-3, 97-136.
- Focusing on Learning Mathematics in the Middle Years: Educators Guide. Published by State of Washington Office of the Superintendent of Public Instruction, Olympia, WA (2001), 103p.
- Numerical method for simulation of bubbles flowing through another fluid. Advances in scientific computing Edited by Zhong-Ci Shi, et al. Science Press, Beijing, New York (2001), 86-94.
- Host-limited dynamics of autoparasitoids. Journal of Theoretical Biology. 212 (2001), 141-153.
2000
- Algorithms for the robust 1-center problem on a tree. European Journal of Operational Research. 123 (2000), no. 2, 292-302. DOI: 10.1016/S0377-2217(99)00257-X
- Ergodic properties of weak asymptotic pseudotrajectories for semiflows. Journal of Dynamics and Differential Equations. 12 (2000), no. 3, 579-598. DOI: 10.1023/A:1026463628355
- A numerical method for solving heat equations involving interfaces. Proceedings of the Fourth Mississippi State Conference on Difference Equations and Computational Simulations. Electronic Journal of Differential Equations. Conference(03) (2000), Southwest Texas State Univ., San Marcos, TX, 100-108.
- Minmax regret solutions for minimax optimization problems with uncertainty. Operations Research Letters. 27 (2000), no. 2, 57-65. DOI: 10.1016/S0167-6377(00)00025-0
- Boundary value problems in Krein spaces. Dedicated to the memory of Branko Najman. Glasnik Matematicki 35 (2000), 45-58.
- Hamiltonian cycles in T-graphs. The Branko Grünbaum birthday issue. Discrete & Computational Geometry. 24 (2000), no. 2-3, 497-502.
- A remark on M. W. Hirsch's paper: "Chain transitive sets for smooth strongly monotone dynamical systems'' [Dynam. Contin. Discrete Impuls. Systems 5 (1999), no. 1-4, 529--543]. Dynamics of Continuous, Discrete and Impulsive Systems. 5 (2000), no. 3, 455-461.
- The Brunn-Minkowski inequality, Minkowski's first inequality, and their duals. Journal of Mathematical Analysis and Applications. 245 (2000), no. 2, 502-512.
- Minmax regret median location on a network under uncertainty. INFORMS Journal on Computing. 12 (2000), no. 2, 104-110.
- On optimal lattice decompositions. Positivity 4 (2000), no. 2, 101-103.
- Criteria for Cr robust permanence. Journal of Differential Equations. 162 (2000), no. 2, 400-426.
- On the computational complexity of determining polyatomic structures by X-rays. Theoretical Computer Science. 233 (2000), no. 1-2, 91-06. DOI: 10.1016/S0304-3975(97)00298-3
- On singular critical points of positive operators in Krein spaces. Proceedings of the American Mathematical Society. 128 (2000), no. 9, 2621-2626.
- Teaching and Learning Mathematics: Using Research to Shift from the "Yesterday" Mind to the "Tomorrow" Mind. Published by State of Washington Office of the Superintendent of Public Instruction, Olympia, WA (2000), 103p.
- Math Trails: One Path for Making Connections. Hold That Thought Publishing, Bellingham, WA (2000),
- 2000 is a Number to be Feared. Washington Mathematics. 44 (2000), no. 1, 4-9.
- Coevolution of contrary choices in host-parasitoid systems. The American Naturalist. no. 5 (2000), 637-648. DOI: 10.1086/303347
- The generalist feeding behaviors of Aedes sierrensis larvae and their effects on protozoan populations. Ecology. 81 (2000), no. 4, 921-935. DOI: 10.2307/177167
- An electromagnetic inverse problem in chiral media. Transactions of the American Mathematical Society. 352 (2000), no. 7, 2993-3013. DOI: 10.1090/S0002-9947-00-02518-6
1999
- New lower bounds for classical Ramsey numbers R(5,13) and R(5,14). Applied Mathematics Letters. 12 (1999), no. 6, 121-122. DOI: 10.1016/S0893-9659(99)00089-0
- A generalization of an inequality related to the error function. Nieuw Archief voor Wiskunde. 17 (1999), no. 3, 373-378.
- \(p\)-cross-section bodies. Indiana University Mathematics Journal. 48 (1999), no. 2, 593-613.
- Uniqueness and complexity in discrete tomography. Discrete Tomography. Applied and Numerical Harmonic Analysis (1999), 85-113. DOI: 10.1007/978-1-4612-1568-4_4
- Algorithms for path medi-centers of a tree. Computers & Operations Research. 26 (1999), no. 14, 1395-1409. DOI: 10.1016/S0305-0548(99)00042-8
- Parallel complexity of additive location problems. INFORMS Journal on Computing. 11 (1999), no. 3, 217-328. DOI: 10.1287/ijoc.11.3.292
- An analytic solution to the Busemann-Petty problem. Annals of Mathematics 149 (1999), no. 2, 691-703. DOI: 10.2307/120978
- On the computational complexity of reconstructing lattice sets from their X-rays. Discrete Mathematics. 202 (1999), no. 1-3, 45-71.
- Computation of a multiple bifurcation point using one singular value decomposition nearby. Dynamics of Continuous, Discrete and Impulsive Systems. 6 (1999), no. 1, 53-68.
- Stability of inequalities in the dual Brunn-Minkowski theory. Journal of Mathematical Analysis and Applications. 231 (1999), no. 2, 568-587.
- An analytic solution to the Busemann-Petty problem. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 328 (1999), no. 1, 29-34.
- On the determination of star and convex bodies by section functions. Discrete & Computational Geometry. 21 (1999), no. 1, 69-85.
- Successional stability of vector fields in dimension three. Proceedings of the American Mathematical Society. 127 (1999), no. 4, 993-1002.
- Hemoglobin / O2 systems using short-lived intermediates for mechanistic discrimination. Journal of Theoretical Biology. 199 (1999), 25-44.
- Exploring Fractals in the Classroom. The Mathematics Teacher. 92 (1999), no. 4, 360-366.
- Nonperiodic Tilings: The Irrational Numbers of the Tiling World. The Mathematics Teacher. 92 (1999), no. 1, 34-40,46-48.
- Multiple time scales in consumer-resource interactions. Annales Zooligici Fennici 36 (1999), 11-20.
- Insect invasions and community assembly. Ecological Entomology John Wiley & Sons, New York (1999), 425-462.
1998
- Positive differential operators in the Krein space \(L^2({\mathbb R}^n)\). Contributions to Operator Theory in Spaces with an Indefinite Metric. Operator Theory: Advances and Applications, 106 (1998), DOI: 10.1007/978-3-0348-8812-7_5
- A surprising but easily proved geometric decomposition theorem. Mathematics Magazine. 71 (1998), no. 1, 3-11.
- Inequalities for dual isoperimetric deficits. Mathematika 45 (1998), no. 2, 269-285.
- On growth rates of subadditive functions for semiflows. Journal of Differential Equations. 148 (1998), no. 2, 334-350.
- Examples of positive operators in Krein space with 0 a regular critical point of infinite rank. Differential and Integral Operators. Operator Theory: Advances and Applications, 102 (1998), 51-56. DOI: 10.1007/978-3-0348-8789-2_5
- Obstruction sets for outer-projective-planar graphs. Ars Combinatoria. 49 (1998), 113-127.
- Affine inequalities and radial mean bodies. American Journal of Mathematics. 120 (1998), no. 3, 505-528.
- Location problems with grouped structure of demand: complexity and algorithms. Networks 31 (1998), no. 2, 81-92.
- Short-lived intermediates in hemoglobin / O2 systems. Biophysical Chemistry and Physics 30 (1998), 25-48.
- Using the History of Mathematics as a Source of Technology-Rich Problems. Secondary School Mathematics in the World of Communication Technology Chapman & Hall, London (1998), 68-70.
- On the stabilizing effect of specialist predators on founder controlled communities. Canadian Applied Mathematical Quarterly 6 (1998), 1-12.
1997
- Computation of a multiple bifurcation point using one singular value decomposition nearby. Computing. 58 (1997), 335-350. DOI: 10.1007/BF02684346
- Computation of a Hopf bifurcation point using one singular value decomposition nearby. Differential equations and applications Int. Press, Cambridge, MA (1997), 277-285.
- Empirical versus asymptotic rate of convergence of a class of methods for solving a polynomial equation. Journal of Computational and Applied Mathematics. 82 (1997), no. 1-2, 229-237.
- Computation of a simple bifurcation point using one singular value decomposition nearby. Computing. 58 (1997), no. 4, 235-350.
- \((p-1)/(p+1)\)-approximate algorithms for \(p\)-traveling salesmen problems on a tree with minmax objective. Discrete Applied Mathematics. 75 (1997), no. 3, 201-216.
- Integrable smooth planar billiards and evolutes. New York Journal of Mathematics 3 (1997), 32-47.
- Areas of generalized \(H\)-polygons. Journal of Combinatorial Theory, Series A. 77 (1997), no. 2, 304-317.
- Preservation of the range under perturbations of an operator. Proceedings of the American Mathematical Society. 125 (1997), no. 9, 2627-2631.
- Discrete tomography: determination of finite sets by X-rays. Transactions of the American Mathematical Society. 349 (1997), no. 6, 2271-2295.
- Short-lived intermediates in aspartate aminotransferase systems. Biophysical Journal 72 (1997), 1135-1142.
- As Ann Landers Would Say, Start With a Good Problem, Not the Technology. Inquiry-Based Geometry Throughout the Secondary Curriculum National Science Foundation, Washington (DC) (1997), 226-234.
- Close Shaves. Mathematics Teaching in the Middle School. January (1997), 162-163.
1996
- On the Laplacian polynomial of a \(K\)-cube extension. Proceedings of the Twenty-seventh Southeastern International Conference on Combinatorics, Graph Theory and Computing 119 (1996), Baton Rouge, LA, Congr. Numer. 119, 73-77.
- Noncoincidence of geodesic lengths and hearing elliptic quantum billiards. Journal of Statistical Physics. 85 (1996), 455-470. DOI: 10.1007/BF02174214
- Non-Hamiltonian triangulations with large connectivity and representativity. Journal of Combinatorial Theory, Series B. 68 (1996), no. 1, 45-55.
- Positive differential operators in Krein space \(L^2({\mathbb R})\). Contributions to Operator Theory in Spaces with an Indefinite Metric. Operator Theory Advances and Applications, 106 (1996), 113-129. DOI: 10.1007/978-3-0348-8812-7_5
- Normal forms for quasiperiodic evolutionary equations. Discrete and Continuous Dynamical Systems. 2 (1996), no. 1, 65-94. DOI: 10.3934/dcds.1996.2.65
- Multivariable Calculus Preliminary Edition: Instructor's Manual with Sample Exams. John Wiley & Sons Canada, Limited (1996), 233 p. ISBN 0471133744
- Complex Eigenvalues and Rotations: Are Your Students Going in Circles? The College Mathematics Journal. 27 (1996), no. 5, 378-381. DOI: 10.1080/07468342.1996.11973812
1995
- Historical development of the Newton-Raphson method. SIAM 37 (1995), no. 4, 531-551.
- A SAXPY formulation for plane rotations. Numerical Linear Algebra with Applications. 2 (1995), no. 6, 533-541. DOI: 10.1002/nla.1680020605
- Quasi-uniformly positive operators in Krein space. Operator Theory and Boundary Eigenvalue Problems. 90-99. DOI: 10.1007/978-3-0348-9106-6_6
- Geometric tomography. Encyclopedia of Mathematics and its Applications 58. Cambridge University Press, Cambridge (1995), xvi+424 pp. ISBN 0-521-45126-4
- Relationships between order and efficiency of a class of methods for multiple zeros of polynomials. Linear/nonlinear iterative methods and verification of solution. Journal of Computational and Applied Mathematics. 60 (1995), no. 1-2, 101-113.
- Quadratic eigenvalue problems. Mathematische Nachrichten. 174 (1995), 55-64.
- A family of sparse graphs of large sum number. Discrete Mathematics. 141 (1995), no. 1-3, 163-171.
- How to teach a class by the modified Moore method. The American Mathematical Monthly. 102 (1995), no. 4, 317-321.
- Thin Hamiltonian cycles on Archimedean graphs. European Journal of Combinatorics 16 (1995), no. 2, 185-189.
- Geometric tomography. Notices of the American Mathematical Society. 42 (1995), no. 4, 422-429.
- Lazutkin coordinates and invariant curves for outer billiards. Journal of Mathematical Physics. 36 (1995), no. 3, 1232-1241.
- The operator \(({\rm sgn}\,x)d^2/dx^2\) is similar to a self-adjoint operator in \(L^2({\mathbb R})\). Proceedings of the American Mathematical Society. 123 (1995), no. 4, 1125-1128.
1994
- Nonorientable quadrangular embeddings of complete multipartite graphs. Proceedings of the Twenty-fifth Southeastern International Conference on Combinatorics, Graph Theory and Computing Boca Raton, FL, Congr. Numer. (1994), 103, 161-171.
- A positive answer to the Busemann-Petty problem in three dimensions. Annals of Mathematics 140 (1994), no. 2, 435-447. DOI: 10.2307/2118606
- An inverse problem and spectral invariants for billiards. Contemporary Mathematics. 173 (1994), 1-13.
- Tomography of convex and star bodies. Advances in Mathematics. 108 (1994), no. 2, 367-399.
- Successive determination and verification of polytopes by their X-rays. Journal of the London Mathematical Society 50 (1994), no. 2, 375-391.
- Pearls in graph theory. A comprehensive introduction. Revised reprint of the 1990 original. Academic Press, Inc., Boston, MA (1994), x+246 pp. ISBN 0-12-328553-4
- A Kreĭn space approach to elliptic eigenvalue problems with indefinite weights. Differential Integral Equations. 7 (1994), no. 5-6, 1241-1252. DOI: 10.57262/die/1369329514
- On the Busemann-Petty problem concerning central sections of centrally symmetric convex bodies. Bulletin of the American Mathematical Society 30 (1994), no. 2, 222-226.
- Intersection bodies and the Busemann-Petty problem. Transactions of the American Mathematical Society. 342 (1994), no. 1, 435-445.
- Convex bodies with similar projections. Proceedings of the American Mathematical Society. 121 (1994), no. 2, 563-568.
- Leonard Euler, Mathematicorum Princeps of the Age of Reason. Centuries End Western Washington University, Bellingham (WA) (1994), 67-89.
- Developing Thoughtful Behavior in Math Teachers. Washington State Mathematics Council
1993
- Determination of convex bodies by their brightness functions. Mathematika 40 (1993), no. 2, 161-168.
- A fast Pick-type approximation for areas of polygons. The American Mathematical Monthly. 100 (1993), no. 7, 669-673.
- A dynamical approach to symplectic and spectral invariants for billiards. Communications in Mathematical Physics. 154 (1993), no. 1, 99-110. DOI: 10.1007/BF02096834
- The sum number of complete bipartite graphs. Graphs, Matrices, and Designs. Lecture Notes in Pure and Applied Mathematics, 139, Dekker, New York (1993), 205-211.
- The Curious 1/3. The College Mathematics Journal. 24 (1993), no. 3, 236-237. DOI: 10.1080/07468342.1993.11973535
1992
- Almost all graphs are Egyptian. Proceedings of the Twenty-third Southeastern International Conference on Combinatorics, Graph Theory, and Computing Congr. Numer. 89 (1992), Boca Raton, FL, 223-224.
- Primitive and mensurable hex-triangles. Geometriae Dedicata. 43 (1992), no. 2, 233-241.
- The volume of duals and sections of polytopes. Mathematika 39 (1992), no. 1, 67-80.
- Subdivision algorithms and the kernel of a polyhedron. Discrete & Computational Geometry. 8 (1992), no. 4, 417-427.
- Sets determined by finitely many X-rays. Geometriae Dedicata. 43 (1992), no. 1, 1-16.
- Self-dual embeddings of complete bipartite graphs. Journal of Combinatorial Theory, Series B. 54 (1992), no. 2, 249-256. DOI: 10.1016/0095-8956(92)90056-4
- X-rays of polygons. Discrete & Computational Geometry. 7 (1992), no. 3, 281-293.
- Rigidity and the Alexandrov-Fenchel inequality. Monatshefte für Mathematik. 113 (1992), 1-22. DOI: 10.1007/BF01299302
- Normal form and linearization for quasiperiodic systems. Transactions of the American Mathematical Society. 331 (1992), no. 1, 361-376.
- Learning the graphics calculator: Casio 7000 8000 8500. Hawker Brownlow Education (1992), 209 p. ISBN 1862997713
- Tests of Early Mathematics Ability. The Eleventh Mental Measurements Yearbook University of Nebraska, Lincoln (NE) (1992), 939-941.
- California Diagnostic Mathematics Tests. The Eleventh Mental Measurements Yearbook University of Nebraska, Lincoln (NE) (1992), 130-133.
- Mathematics Education Reform: What's a Small or Rural School to Do? Journal of Rural and Small Schools Spring (1992), 3-8.
1991
- Negative powers of Olver recursion operators. Journal of Mathematical Physics. 32 (1991), no. 7, 1733-1736.
- A characterization of the Cantor function. The American Mathematical Monthly. 98 (1991), no. 3, 255-258.
- Translational prototiles on a lattice. Mathematics Magazine. 64 (1991), no. 1, 3-12.
- Symmetric solutions to isoperimetric problems for polytopes. Applied Geometry And Discrete Mathematics. DIMACS - Series in Discrete Mathematics and Theoretical Computer Science (1991), no. 4, 289-300. DOI: 10.1090/dimacs/004
- Using Dominoes to Introduce Combinatorial Reasoning. Topics in Discrete Mathematics National Council of Teachers of Mathematics, Reston (VA) (1991), 128-136.
1990
- Egyptian graphs. Contemporary methods in graph theory Bibliographisches Inst., Mannheim (1990), 369-370.
- Spanning trees of the complete bipartite graph. Topics in Combinatorics and Graph Theory. 339-346. DOI: 10.1007/978-3-642-46908-4_38
- Finite difference approximation of sparse Jacobian matrices in Newton-like methods. Computational solution of nonlinear systems of equations Providence, R.I. : American Mathematical Society (1990), 707-722.
- Solving nonlinear systems of equations with only one nonlinear variable. Journal of Computational and Applied Mathematics. 30 (1990), no. 2, 235-246. DOI: 10.1016/0377-0427(90)90031-T
- Solving N+m nonlinear equations with only m nonlinear variables. Computing. 44 (1990), no. 3, 259-271. DOI: 10.1007/BF02262221
- Exponentially evolving densities. Journal of Mathematical Physics. 31 (1990), 7, 1632-1634. DOI: 10.1063/1.528707
- Exterior algebra and projections of polytopes. Discrete & Computational Geometry. 5 (1990), no. 3, 305-322.
- Piecewise \(C^k\) functions in nonsmooth analysis. Nonlinear Analysis. Theory, Methods & Applications. 15 (1990), no. 7, 649-660.
- Constructions and complexity of secondary polytopes. Advances in Mathematics. 83 (1990), no. 2, 155-179.
- The extreme projections of the regular simplex. Transactions of the American Mathematical Society. 317 (1990), no. 2, 611-629.
- Pearls in graph theory. A comprehensive introduction. Academic Press, Inc., Boston, MA (1990), x+246 pp. ISBN 0-12-328552-6
- Math-o-graphs: critical thinking through graphing. Midwest Publications/Critical Thinking Press & Software, Pacific Grove, CA (1990), v+169p.
- 11 October. The Mathematics Teacher. no. 2, pp. 87, 155-156.
1989
- Characteristic functions of unitary colligations and of bounded operators in Krein spaces. The Gohberg Anniversary Collection. Vol. II, Operator Theory: Advances and Applications (1989), 125-152. DOI: 10.1007/978-3-0348-9278-0_9
- The rank and eigenvalues of main diagonal perturbed matrices. Linear and Multilinear Algebra. 25 (1989), no. 3, 191-204. DOI: 10.1080/03081088908817941
- Desperately seeking the elusive, non-Hamiltonian simple 4-polytope. Combinatorial Mathematics: Proceedings of the Third International Conference. 335-339. DOI: 10.1111/j.1749-6632.1989.tb22469.x
- Definitizable extensions of positive symmetric operators in a Krein space. Integral Equations and Operator Theory. 12 (1989), no. 5, 615-631.
- Optimality conditions for piecewise C2 nonlinear programming. Journal of Optimization Theory and Applications. 61 (1989), no. 2, 179-202.
- Distributed-multirate methods for large weakly-coupled differential systems. Applied Mathematics and Computation. 31 (1989), 18-39. DOI: 10.1016/0096-3003(89)90109-4
- A metrical characterization of symmetric polytopes. Geometriae Dedicata. 30 (1989), no. 1, 81-91.
- A Krein space approach to symmetric ordinary differential operators with an indefinite weight function. Journal of Differential Equations. 79 (1989), no. 1, 31-61.
- The Teaching of Mathematics: From Calculus to Number Theory. The American Mathematical Monthly. 96 (1989), no. 2, 140-143.
- Using Manipulatives as Problem Solving Tools. Manipulatives in the Mathematics Classroom Washington State Mathematics Council (1989), 1-7.
- Non-Random Thoughts on Teaching Probability (K-College). Making Choices, Taking Chances Washington State Mathematics Council (1989), 3-8.
- Matrices and One More Road to Follow. The Computing Teacher April (1989), 52-54.
1988
- The largest projections of regular polytopes. Israel Journal of Mathematics. 64 (1988), no. 2, 207-228.
- Second-order sufficient conditions in nonsmooth optimization. Mathematics of Operations Research. 13 (1988), no. 4, 660-673.
- Random walks on Z. The College Mathematics Journal. 19 (1988), no. 4, 330-342.
- Extremum problems for zonotopes. Geometriae Dedicata. 27 (1988), no. 3, 251-262. DOI: 10.1007/BF00181491
- Can neighborly polyhedra be realized geometrically? Shaping Space: a polyhedral approach Design Science Collection, Birkhäuser Boston, Boston, MA, 251-253, 259.
- A new Pick-type theorem on the hexagonal lattice. Discrete Mathematics. 68 (1988), no. 2-3, 171-177.
- Second-order necessary conditions in semismooth optimization. Mathematical Programming. 40 (1988), no. 1 (Series A), 95-109.
- Orleans Hanna Algebra Prognosis Test, in D. Keyser and R. Sweetland (eds.) Test Critiques Applied Topics: Academic Achievement and Aptitude and Test Critiques: Vol. VII. Kansas City, MO: Test Corporation of America (1988), 389-397. Reprinted in V. Wilson (ed.) Academic Achievement and Aptitude Testing. Austin (TX): Pro-Ed, (1989), 252-260,
- Computers, Problem Solving, and a Belief. The Computing Teacher December (1988), 24-26.
- Graphing Packages for Mathematics Teachers: An Overview. The Computing Teacher November (1988), 50-53.
- Graphing Packages: The #1 Headache Reliever. The Computing Teacher October (1988), 34-36.
- Visual Thinking, Piaget, & Computers. The Computing Teacher September (1988), 47-49.
- Hands on Explorations of Geometrical Paradoxes, in C. Olsen's Using Geometry to Develop Thoughtful Behavior in Mathematics Washington State Mathematics Council (1988), 78-82.
- Minimum Distance. NCTM Student Math Notes March (1988), Reprinted in E. Maletsky's (ed.) Teaching with Student Math Notes, Vol. 2. Reston (VA): National Council of Teachers of Mathematics, (1993), 51-56.
1987
- Areas of lattice polygons, applied to computer graphics. Applicationes Mathematicae. 19 (1987), no. 3-4, 547-556.
- Second-order directional derivatives for nonsmooth functions. Journal of Mathematical Analysis and Applications. 128 (1987), no. 2, 495-511.
- Second-order necessary conditions in constrained semismooth optimization. SIAM Journal on Control and Optimization. 25 (1987), no. 4, 1072-1081.
- The boundary characteristic and Pick's theorem in the Archimedean planar tilings. Journal of Combinatorial Theory, Series A. 44 (1987), no. 1, 110-119. DOI: 10.1016/0097-3165(87)90063-X
- Pushing Computing to the Limit. The Computing Teacher October (1987), 37-39.
- Procedural Programming Languages and the Learning of Mathematics. in D. C. Johnson and F. Lovis' (eds.) Informatics and the Teaching of Mathematics. Amsterdam: North Holland (1987), 17-24.
- Microcomputers and Secondary Mathematics: A New Potential. Focus on Learning Problems in Mathematics Spring (1987), 5-18.
- The Chocolate Chip Cookie Caper, Parts I & II. The Computing Teacher March/April (1987), 33-35, 57-59.
1986
- Limit-point and limit-circle criteria for Sturm-Liouville equations with intermittently negative principal coefficients. Proceedings of the Royal Society of Edinburgh Section A: Mathematics 103 (1986), no. 3-4, 215-228.
- On the number of eigenvalues in the spectral gap of a Dirac system. Proceedings of the Royal Society of Edinburgh Section A: Mathematics 29 (1986), no. 3, 367-378.
- The toroidal splitting number of the complete graph \(K_n\). Discrete Mathematics. 62 (1986), no. 1, 35-47.
- Balanced growth without constant returns to scale. Journal of Mathematical Economics. 15 (1986), no. 2, 171-178. DOI: 10.1016/0304-4068(86)90008-X
- A Second Helping of Pi. The Computing Teacher October (1986), 18-20.
- Geometry A La Transformations. The Computing Teacher May (1986), 33-36.
- It's April...Taxman Time! The Computing Teacher April (1986), 20-23.
- Motivate Your Students to Look...Beyond the Answer. The Computing Teacher February (1986), 24-27.
1985
- The splitting number of the complete graph. Graphs and Combinatorics. 1 (1985), no. 1, 311-329. DOI: 10.1007/BF02582960
- Special simple Jordan triple systems. Algebras, Groups, and Geometries. 2 (1985), no. 2, 117-128.
- Convergence rates for Wiener's theorem for contraction semigroups. Houston Journal of Mathematics. 11 (1985), no. 4, 435-445.
- The deficiency indices of powers of second order expressions with large leading coefficient. Proceedings of the Royal Society of Edinburgh Section A: Mathematics 101 (1985), no. 3-4, 227-235.
- On second derivatives for nonsmooth functions. Nonlinear Analysis. Theory, Methods & Applications. 9 (1985), no. 11, 1189-1209.
- Aronszajn's theorem for a parabolic partial differential equation. Nonlinear Analysis. Theory, Methods & Applications. 9 (1985), no. 11, 1183-1187.
- Elliptic equations without positive solutions. Journal of Differential Equations. 58 (1985), no. 3, 381-390.
- The Teaching of Mathematics: More—and Moore—Power Series Without Taylor's Theorem. The American Mathematical Monthly. 92 (1985), no. 8, 588-589. DOI: 10.1080/00029890.1985.11971691
- If Ann Landers were Asked Software Questions. The Computing Teacher November (1985), 26-28.
- The Computer as a Tool is Not Enough. The Computing Teacher October (1985), 37-40.
- Memories are Meant to be Used. The Computing Teacher September (1985), 37-41.
- Impacts of an Algorithmics Theme on School Mathematics Curriculum. In Research Monograph: Student Programming and Algorithmics in Mathematics Learning and Teaching, Athens (GA): University of Georgia (1985),
- Dr. Micro's Computer Teaching Kit: A Resource to Meet Individual Needs. Creative Publications, Palo Alto (CA) (1985),
- Computer Problems of the Week Exploring BASIC. Creative Publications, Palo Alto (CA) (1985), 65p. ISBN 0884882993
- Computer Problems of the Week Exploring Numbers. Creative Publications, Palo Alto (CA) (1985),
- Computer Problems of the Week Exploring Probability and Statistics. Creative Publications, Palo Alto (CA) (1985),
- Computer Problems of the Week Exploring Apple Graphics. Creative Publications, Palo Alto (CA) (1985), 65p. ISBN 0884882942
1984
- On the essential self-adjointness of powers of Schrödinger operators. Proceedings of the Royal Society of Edinburgh Section A: Mathematics 97 (1984), 233-246. DOI: 10.1017/S0308210500032029
- Essential Self-Adjointness for Powers of Schrödinger Operators. North-Holland Mathematics Studies. 92 (1984), 471-476. DOI: 10.1016/S0304-0208(08)73732-0
- Automorphism group of Jordan pairs. Algebras, Groups, and Geometries. 1 (1984), no. 4, 490-509.
- Wiener's theorem and semigroups of operators. tes,
- Theory and applications of mathematics for elementary school teachers. John Wiley & Sons, Inc., New York (1984), xxxv+402 pp. ISBN 0471096377
- Graphics Discoveries, Book I. Creative Publications, Palo Alto (CA) (1984), 68 pages. ISBN 0884882683
- Graphics Discoveries, Book II. Creative Publications, Palo Alto (CA) (1984), 74 pages. ISBN 0884882691
- Computers and Hot Potatoes: Starch for Teacher Training Diets. Teacher Education Quarterly Spring (1984), 49-52.
1983
- Factorization and the Friedrichs extension for ordinary differential operators. Ordinary Differential Equations and Operators - A Tribute to F.V. Atkinson. Proceedings of a Symposium held at Dundee, Scotland, March - July 1982. Lecture Notes in Math., 1032, Springer, Berlin (1983), 257-266.
- A general sufficiency theorem for nonsmooth nonlinear programming. Transactions of the American Mathematical Society. 276 (1983), no. 1, 235-245.
1982
- A method of centers algorithm for certain minimax problems. Mathematical Programming. 22 (1982), no. 2, 202-226. DOI: 10.1007/BF01581037
- On sufficient conditions in nonsmooth optimization. Mathematics of Operations Research. 7 (1982), 3, 319-478. DOI: 10.1287/moor.7.3.463
- Second-order sufficiency conditions for nondifferentiable programming problems. SIAM Journal on Control and Optimization. 20 (1982), 1, 20-33. DOI: 10.1137/0320004
- On the spectral theory of some nonsymmetric second-order differential operators. Ordinary Differential Equations and Operators - A Tribute to F.V. Atkinson. Proceedings of a Symposium held at Dundee, Scotland, March - July 1982. Lecture Notes in Math., 1032, Springer, Berlin, 1983 (1982), 407-426. DOI: 10.1007/BFb0076811
- The number of Dirichlet solutions of a fourth order differential equation. Proceedings of the Royal Society of Edinburgh Section A: Mathematics 92 (1982), no. 3-4, 233-239. DOI: 10.1017/S0308210500032509
- Positivity and discrete spectra for differential operators. Journal of Differential Equations. 43 (1982), no. 1, 1-27. DOI: 10.1016/0022-0396(82)90071-7
- Open problems around Radon's theorem. Convexity and related combinatorial geometry: proceedings of the second University of Oklahoma conference Lecture Notes in Pure and Applied Mathematics, 76, Dekker, New York (1982), 151-172.
1981
- Differential operators with discrete spectrum. Ordinary and Partial Differential Equations - Proceedings of the Sixth Conference Held at Dundee, Scotland, March 31 - April 4, 1980. 299-305. DOI: 10.1007/BFb0089847
- Dirichlet solutions of fourth order differential equations. Spectral Theory of Differential Operators - Proceedings of the Conference held at the University of Alabama in Birmingham. 55 (1981), 355-359. DOI: 10.1016/S0304-0208(08)71652-9
- Ambushing random walks. III. Operations Research. 29 (1981), no. 1, 121-129.
- A Tverberg-type generalization of the Helly number of a convexity space. Journal of Geometry. 16 (1981), 117-125. DOI: 10.1007/BF01917580
- A differentiability property and its application to the spectral theory of differential operators. Proceedings of the Royal Society of Edinburgh Section A: Mathematics 88 (1981), 1-2, 49-74. DOI: 10.1017/S0308210500017285
- A Weyl theory for a class of elliptic boundary value problems on a half space. North-Holland Mathematics Studies. 55 (1981), 267-278. DOI: 10.1016/S0304-0208(08)71642-6
- On the minimization of singular quadratic functionals. Proceedings of the Royal Society of Edinburgh Section A: Mathematics 87 (1981), no. 3-4, 193-208. DOI: 10.1017/S0308210500015134
- Extensions of set partitions. 31 (1981), 2,
1980
- Second-order optimality conditions for a class of nonlinear programming problems. Journal of Mathematical Analysis and Applications. 76 (1980), no. 2, 516-534.
- Factorization and discrete spectra for second-order differential expressions. Journal of Differential Equations. 35 (1980), no. 3, 388-406.
- Second-order differential equations with small solutions. Journal of Mathematical Analysis and Applications. 77 (1980), no. 1, 165-174.
- On the limit-\(n\) classification of ordinary differential operators with positive coefficients. II. Proceedings of the London Mathematical Society. 41 (1980), no. 3, 499-515.
- A spectral decomposition theorem and its application to higher-order nonselfadjoint differential operators in L2[a,8]. Proceedings of the London Mathematical Society. 40 (1980), no. 3, 476-506.
- On directions of e-steepest descent for real-valued Lipschitz continuous functions. Applicable Analysis. 11 (1980), 1, DOI: 10.1080/00036818008839315
1979
- Several generalizations of Tverberg's theorem. Israel Journal of Mathematics. 34 (1979), no. 3, 238-244. DOI: 10.1007/BF02760885
- Higher order differential equations with small solutions. Journal of the London Mathematical Society 19 (1979), no. 1, 107-122.
- Twelve general position points always form three intersecting tetrahedra. Discrete Mathematics. 28 (1979), no. 2, 193-199.
- The number of Dirichlet solutions to a class of linear ordinary differential equations. Journal of Differential Equations. 31 (1979), no. 1, 117-129.
1978
- An extension of the method of subgradients. Nonsmooth optimization (Proc. IIASA Workshop, Laxenburg, 1977) IIASA Proc. Ser., 3, Pergamon, Oxford-New York (1978), 51-70.
1977
- The deficiency index problem for powers of ordinary differential expressions. Lecture Notes in Mathematics Vol. 621. Springer-Verlag, Berlin-New York (1977), iv+112 pp. ISBN 3-540-08523-8
- A limit-point criterion for expressions with intermittently positive coefficients. Journal of the London Mathematical Society 15 (1977), no. 2, 271-276.
- On the limit-n classification of ordinary differential operators with positive coefficients. Journal of the London Mathematical Society 35 (1977), no. 3, 496-526. DOI: 10.1112/plms/s3-35.3.496
- Disconjugacy and the limit-point condition for fourth-order operators. Proceedings of the Royal Society of Edinburgh Section A: Mathematics 76 (1977), no. 1, 77-80.
- A hybrid algorithm for nonlinear programming. SIAM Journal on Control and Optimization. 15 (1977), Iss. 3, 384-399. DOI: 10.1137/0315026
- Ideal boundaries of a Riemann surface for the equation \(\Delta u=Pu\). Proceedings of the American Mathematical Society. 66 (1977), no. 1, 57-61.
- On a set of poles at the Wiener boundary. The Rocky Mountain Journal of Mathematics 7 (1977), no. 2, 365-368.
1976
- A limit-point criterion for \(-(py')'+qy\). Ordinary and Partial Differential Equations - Proceedings of the Fourth Conference held at Dundee, Scotland, March 30 - April 2, 1976. Vol. 564 (1976), 383-390. DOI: 10.1007/BFb0087356
- Limit-point criteria for polynomials in a non-oscillatory expression. Proceedings of the Royal Society of Edinburgh Section A: Mathematics 76 (1976), 1, 13-29.
- A limit-point criterion for expressions with oscillatory coefficients. Pacific Journal of Mathematics. 66 (1976), no. 1, 243-255.
- Bounds and quantitative comparison theorems for nonoscillatory second order differential equations. Pacific Journal of Mathematics. 63 (1976), 1, 231-245.
- Perturbations of limit-circle expressions. Proceedings of the American Mathematical Society. 56 (1976), 108-110.
- On the limit-n classification of ordinary differential operators with positive coefficients. Ordinary and Partial Differential Equations - Proceedings of the Fourth Conference held at Dundee, Scotland, March 30 - April 2, 1976. Vol. 564 (1976), 259-266. DOI: 10.1007/BFb0087342
- Disconjugacy and the limit-point condition for fourth-order operators. Proceedings of the Royal Society of Edinburgh Section A: Mathematics 76 (1976), no. 1, 77-80.
- On the Pironneau-Polak method of centers. Journal of Optimization Theory and Applications. 20 (1976), 269-295. DOI: 10.1007/BF00933624
- On the rate of convergence of some feasible direction algorithms. Journal of Optimization Theory and Applications. 20 (1976), no. 3, 297-313.
- Isomorphisms between harmonic and $P$-harmonic Hardy spaces on Riemann surfaces. Pacific Journal of Mathematics. 62 (1976), no. 2, 551-560.
- A rule relating the deficiency indices of \(L^j\) to those of \(L^k\). Proceedings of the Royal Society of Edinburgh Section A: Mathematics 74 (1976), 115-118. DOI: 10.1017/S0308210500016589
- Sequences of deficiency indices. Proceedings of the Royal Society of Edinburgh Section A: Mathematics 74 (1976), 157-164. DOI: 10.1017/S0308210500016620
1975
- Exponential solutions of \(y''+(r-q)y=0\) and the least eigenvalue of Hill's equation. Proceedings of the American Mathematical Society. 50 (1975), 273-280.
- On the limit point condition for polynomials in a second order differential expression. Journal of the London Mathematical Society s2-10 (1975), no. 3, 357-366. DOI: 10.1112/jlms/s2-10.3.357
- Spaces with an abstract convolution of measures. Advances in Mathematics. 18 (1975), no. 2, Paper no. 11, 1-101.
- Gaps in the essential spectrum for second order systems. Proceedings of the American Mathematical Society. 51 (1975), 55-61.
- On the growth of solutions in the oscillatory case. Proceedings of the American Mathematical Society. 51 (1975), 49-54.
- Polynomials and the limit point condition. Transactions of the American Mathematical Society. 201 (1975), 347-366.
- A uniqueness property for measures on \(C^n\). Portugaliae Mathematica 34 (1975), no. 1-2, 25-32.
- Finite mathematics. 2nd ed. Prindle, Weber & Schmidt, Boston (1975), vii+535p. ISBN 0871501694
1974
- Exponential estimates for solutions of \(y''-q^2y=0\). Proceedings of the American Mathematical Society. 45 (1974), 332-338.
- Growth and decay of solutions of \(y^{(2n)}-p y=0\). Proceedings of the American Mathematical Society. 43 (1974), 127-132.
- Sierpinski curves in finite 2-complexes. Pacific Journal of Mathematics. 50 (1974), 1-5.
- Why Isn't Penny Flipping Fairer? The Two-Year College Mathematics Journal 5 (1974), no. 3, 18-19.
- Just How Crowded? The Mathematics Teacher. 67 (1974), no. 7, 609.
1973
- Two types of hyperinvariant subspaces. Proceedings of the American Mathematical Society. 39 (1973), 553-558.
- \(S\)-algebras on sets in \(C^n\). Proceedings of the American Mathematical Society. 39 (1973), 300-304.
- Locally equational classes of universal algebras. The Mathematical Society of the Republic of China. 1 (1973), 2, 143-165.
- Projections of \(f\)-vectors of four-polytopes. Journal of Combinatorial Theory, Series A. 15 (1973), no. 2, 200-209. DOI: 10.1016/S0097-3165(73)80007-X
- How to Find a Needle in a Haystack. The Two-Year College Mathematics Journal 4 (1973), no. 3, 18-22.
- An Interesting Penny Game. The Two-Year College Mathematics Journal 4 (1973), no. 1, 18-24.
1972
- Compactness of the inverse of the minimal operator for a class of ordinary differential expressions. Journal für die reine und angewandte Mathematik 257 (1972), 91-99.
- Unitary groups and commutators. Proceedings of the American Mathematical Society. 33 (1972), 95-100.
- On a theorem of Rudin. Proceedings of the American Mathematical Society. 35 (1972), 296-297.
- On the topological duality for primal algebra theory. Algebra Universalis 1 (1972), 152-154.
- Characterization of algebraic functions in equational classes generated by independent primal algebras. Algebra Universalis 1 (1972), 187-191.
- One-dimensional \(n\)-leaved continua. Fundamenta Mathematicae 74 (1972), no. 1, 43-45.
- Mathematical Education: The MAA and the Two-Year College. The American Mathematical Monthly. 79 (1972), no. 3, 296-301.
- The structure of mathematics; an introduction. 2d ed. Xerox College Pub. Lexington, Mass (1972), xi, 404 pages. .
1971
- The powers of a maximal ideal in a Banach algebra and analytic structure. Transactions of the American Mathematical Society. 161 (1971), 235-248.
- Unitary groups and differential operators. Proceedings of the American Mathematical Society. 30 (1971), 102-106.
- The MAA and the Mathematics Teacher in the Two-Year College. The Two-Year College Mathematics Journal 2 (1971), no. 2, 63-68.
- How Are Computers Being Used in Two-Year Colleges? . The Two-Year College Mathematics Journal 2 (1971), no. 1, 71.
- Programmed guide to accompany Finite mathematics. Programmed guide to accompany Finite mathematics Prindle, Weber & Schmidt, Boston (1971), 184 pages.
- Restrictions of Banach function spaces. Pacific Journal of Mathematics. 39 (1971), 593-602.
- Independence and direct factorization of universal algebras. Mathematische Nachrichten. 51 (1971), 83-99.
1970
- Notes on commutative power joined semigroups. Pacific Journal of Mathematics. 35 (1970), 673-679.
- Reviews: Topology. The American Mathematical Monthly. 77 (1970), no. 6, 665.
- Reviews: Introduction to Spectral Theory in Hilbert Space. The American Mathematical Monthly. 77 (1970), no. 5, 543.
- On the conjecture \({}^{x} \approx I^{\omega}\). 66 (1970), 45-52.
- Caratheodory theorems in convex product structures. Pacific Journal of Mathematics. 35 (1970), 227-230.
- An application of simplicial homology theory. The American Mathematical Monthly. 77 (1970), 381-384.
- Wild points of cellular arcs in 2-complexes in 2-complexes in \(E^3\) and cellular hulls. Pacific Journal of Mathematics. 33 (1970), 551-553.
- The maximum numbers of faces of a convex polytope. Mathematika 17 (1970), 179-184.
- translator. Carl Friedrich Gauss. MIT Press (1970), ISBN-10: 0262080400, 208 pp.
1969
- Completely continuous inverses of ordinary differential operators. Proceedings of the American Mathematical Society. 22 (1969), 657-659.
- Characterizations for approximately normal algebras. Proceedings of the American Mathematical Society. 20 (1969),
- Classroom Notes: Continuous Dependence on Parameters. The American Mathematical Monthly. 76 (1969), no. 3, DOI: 294-295
- A new characterization of \(\mathrm{AR}(\mathfrak{M})\) and \(\mathrm{ANR}(\mathfrak{M})\). Bulletin of the American Mathematical Society 75 (1969), 607-609. DOI: 10.1090/S0002-9904-1969-12259-7
- Stone duality for primal algebra theory. Mathematische Zeitschrift. 110 (1969), 180-198. DOI: 10.1007/BF01110209
- On the fundamental subdirect factorization theorems of primal algebra theory. Mathematische Zeitschrift. 112 (1969), 154-162. DOI: 10.1007/BF01115038
- Weak products of simple universal algebras. Mathematische Nachrichten. 42 (1969), 1-3, 157-171. DOI: 10.1002/mana.19690420111
- Relative interiors of convex hulls. Proceedings of the American Mathematical Society. 20 (1969), 246-250.
- Teoría de la Aritmética. Mexico. Limusa. (1969), 383p.
- Calculus and finite mathematics. Prindle, Weber & Schmidt, Boston (1969), ix+468p. ISBN 0871500606
- A prime quotient study for junior high school students. The Arithmetic Teacher 16 (1969), no. 8, 21-626.
- A note on an equivalence relation on a purely inseparable field extension. Canadian Mathematical Bulletin. 12 (1969), 2, 175-178. DOI: 10.4153/CMB-1969-017-3
1968
- Residually simple and characteristically simple universal algebras. Mathematische Nachrichten. 36 (1968), 333-344.
- On commutative, nonpotent archimedean semigroups. Pacific Journal of Mathematics. 27 (1968), 365-371.
- Note on a paper of Wojdyslawski. Fundamenta Mathematicae 63 (1968), 215-216.
- An extension of Radon's theorem. Illinois Journal of Mathematics 12 (1968), 184-189.
- A chain rule for the transformation of integrals in measure space. Pacific Journal of Mathematics. 25 (1968), 33-57.
1967
- Unstable points in the hyperspace of connected subsets. Pacific Journal of Mathematics. 23 (1967), 515-520.
- Positive bases as a tool in convexity. Rendiconti del Circolo Matematico di Palermo. 16 (1967), 346-352. DOI: 10.1007/BF02843801
- Intersection bases of convex cones. Rendiconti del Circolo Matematico di Palermo. 16 (1967), 346-352. DOI: 10.1007/BF02843801
- Theory of arithmetic. 2nd edition. John Wiley and Sons, Inc., New York (1967), xiv+337 pages.
- Simplifying intersections of disks in Bing's side approximation theorem. Pacific Journal of Mathematics. 22 (1967), 281-295.
- Wiskunde: inleiding tot de axiomastelsels. Translated by C. van der Linden. Het Spectrum, Utrecht, Antwerpen (1967), 351 pages.
1966
- Unique minimal representations with positive bases. The American Mathematical Monthly. 73 (1966), 253-261. DOI: 10.1080/00029890.1966.11970751
- Interior points of convex hulls. Israel Journal of Mathematics. 4 (1966), 243-248. DOI: 10.1007/BF02771639
- Patterns in Arithmetic. Arithmetic Teacher 13 (1966), 209-212.
- Decomposition theorems for weight functions in the transformation theory for measure space. 15 (1966),
- On the transformation of integrals in measure space. Pacific Journal of Mathematics. 19 (1966), 229-242.
- Freshman mathematics for university students. Prentice-Hall, Englewood Cliffs, N.J. (1966), xii, 448 pages.
1965
- A generalization of divisibility and injectivity in modules. Canadian Mathematical Bulletin. 8 (1965), 505-513.
- Generalizations of a Theorem of Carathéodory. Memoirs of the American Mathematical Society. no. 54 (1965), 50 pages. DOI: 10.1090/memo/0054
- A new proof of the Bonice-Klee theorem. Proceedings of the American Mathematical Society. 16 (1965), 585-587. DOI: 10.2307/2033883
- Measurability theorems in the transformation theory for measure space. Rendiconti del Circolo Matematico di Palermo. 14 (1965), 309-323. DOI: 10.1007/BF02844033
1964
- Mathematics: the study of axiom systems. Western Washington State College, Bellingham, WA; Blaisdell Pub. Co., New York, NY (1964),
1963
- Theory of arithmetic. John Wiley and Sons, Inc., New York and London (1963), xiv+303pp.
- Mathematics Programs for the Training of Elementary Teachers. The American Mathematical Monthly. 70 (1963), no. 1, 89-91.
- On minimal sets of generators of purely inseparable field extensions. Proceedings of the American Mathematical Society. 14 (1963), 742-745.
1961
- Interval graphing. The Mathematics Teacher. 54 (1961), no. 4, 194-200.
1954
- Instructional Practices Which Promote Critical Thinking, in Effective Practices in a Program of General Education. W. C. Brown Co., Edited by Lucy Kangley, W. (1954), 18-19.
1952
- The Nature of Critical Thinking in General Education. Proceedings of the Northwest Conference on General Education Western Washington College of Education, Bellingham, Washington (1952), 104 pp.
1946
- Why study mathematics? The Mathematics Teacher. The Mathematics Teacher. February (1946), 51-58.
1942
- A proper balance between social arithmetic and a science of arithmetic. The Mathematics Teacher. 313-315.
- What the schools should do to further defense. The Mathematics Teacher. December (1942), 372-377.
1940
- Improving instruction in arithmetic. The Mathematics Teacher. May (1940), 195-209.
1939
- Real life arithmetic. Grade 9. C. Scribner's Sons, New York (1939), xvi+259p.
1938
- Real life arithmetic. Grade 7. C. Scribner's Sons, New York (1938), xvi+259p.
- Real life arithmetic. Grade 6. C. Scribner's Sons, New York (1938), xvi+259p.
- Real life arithmetic. Grade 5. C. Scribner's Sons, New York (1938), xvi+259p.
- Real life arithmetic. Grade 4. C. Scribner's Sons, New York (1938), xvi+259p.
- Real life arithmetic. Grade 3. C. Scribner's Sons, New York (1938), xvi+259p.
1937
- Recent Changes in Point of View Relating to the Teaching of Arithmetic. The Mathematics Teacher. no. 4 (1937), 4, 175-179.
1934
- The professional treatment of the subject matter of arithmetic for teacher-training institutions, grades I to VI. Teachers College, Columbia University, New York (1934), 315 p.
1931
- Significant Digits in Computation with Approximate Numbers. The Mathematics Teacher. no. 4 (1931), 4, 208-212.
1926
- An Iteration Method for Determining Multiple Correlation Constants. Journal of the American Statistical Association. no. 155 (1926), 282-292. DOI: 10.2307/2277056