Mariana Smit Vega Garcia, PhD
Professor
Research Interests:
Analysis, Partial Differential Equations, Geometric Analysis
About
I was born and raised in Sao Paulo, Brazil, where I obtained my bachelor's and master's in Mathematics at the Universidade de Sao Paulo.
After moving to the US for graduate school I obtained my PhD from Purdue University in 2014.
Afterwards, I did a post-doc in Germany (at Heinrich Heine University Dusseldorf and the University of Duisburg-Essen), and spent two months as a postdoctoral fellow at the Mittag-Leffler Institute, in Sweden. In 2016 I returned to the US for a post-doc at UW, where I continued working with free boundary problems and expanded my research to geometric measure theory and harmonic analysis.
In my free time, I love to hike, travel, play with my dogs, watch soccer, read books, go to the symphony and enjoy good food with friends.
Educational & Professional Experience:
- PhD Purdue University, 2014.
- Wissenschaftliche Mitarbeiterin (post-doc), Heinrich Heine Universität and Universität Duisburg-Essen, 2014-2016.
- Institut Mittag-Leffler Postdoctoral fellow, September-October 2014.
- Acting Assistant Professor, UW, 2016-2018.
Recent Publications
- Variable-coefficient parabolic theory as a high-dimensional limit of elliptic theory
B. Davey & M. Smit Vega Garcia
Calc. Var. 63, 40 (2024).
arXiv:2304.10731v1
- Two-phase almost minimizers for a fractional free boundary problem
M. Allen & M. Smit Vega Garcia
Nonlinear Differ. Equ. Appl. 31, 45 (2024).
arXiv:2308.06357
- An Almgren monotonicity formula for discrete harmonic functions
M. Smit Vega Garcia & S. Steinerberger
arXiv:2311.11887, 2023.
- Mesas of Stirling permutations
N. Gonzalez, P. E. Harris, G. R. Kirby, M. Smit Vega Garcia & B. E. Tenner
to appear on "Journal of Combinatorics."
arXiv:2306.12158, 2023
- Pinnacle sets of signed permutations
N. Gonzalez, P. E. Harris, G. R. Kirby, M. Smit Vega Garcia & B. E. Tenner
Discrete Mathematics, Volume 346, Issue 7, 2023.
arXiv:2301.02628v1
- Branch Points for (Almost-)Minimizers of Two-Phase Free Boundary Problems
G. David, M. Engelstein, M. Smit Vega Garcia & T. Toro,
Forum of Mathematics, Sigma, 11, E1, 2023.
ArXiv:2204.05367
- An overview of Almost Minimizers of Bernoulli-Type Functionals
M. Smit Vega Garcia
A3N2M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models, Proceedings of the 50th John H. Barrett Memorial Lectures, IMA Volumes in Mathematics and its Applications, volume 165, 2023, Springer.
- Regularity for almost-minimizers of variable coefficient Bernoulli-type functionals
G. David, M. Engelstein, M. Smit Vega Garcia & T. Toro
Mathematische Zeitschrift, 299(3), 2131-2169, 2021.
arXiv:1909.05043
- On a Bernoulli-type overdetermined free boundary problem
M. Akman, A. Banerjee & M. Smit Vega Garcia
Ann. Fenn. Math., vol. 46, no. 2, pp. 601-618, Aug. 2021
arXiv:1911.02801
- The fractional unstable obstacle problem
M. Allen & M. Smit Vega Garcia
Nonlinear Analysis, Vol 193, April 2020
arXiv:1811.12497
- Almost minimizers for the thin obstacle problem with variable coefficients
S. Jeon, A. Petrosyan & M. Smit Vega Garcia
arXiv:2007.07349
2020
Selected Awards & Honors:
- NSF Analysis RUI Grant. Title: "Topics in Free Boundary Problems." Award from 09/01/2024 - 08/31/2027. Award amount: $208,780.
- NSF Analysis Standard Grant. Title: "Analysis and Geometry of Free Boundaries." Award from 08/15/2021 – 05/31/2025. Award amount: $190,337.00.
- Karen EDGE Fellowship (2024-2027).
- Peter J. Elich Excellence in Teaching Award, 2023.
- NSF Conferences and Workshops in the Mathematical Sciences. Conference: "Geometry of Measures and Free Boundaries, a conference in honour of Tatiana Toro." Funded, DMS 2403698 (2023-2024).
- NSF Conferences and Workshops in the Mathematical Sciences. Conference: "PDE in Moab: Advances in Theory and Application." Funded, DMS 2350128 (2024).
- Simons Laufer Mathematical Sciences Institute (SLMath, formerly MSRI) - 2023 Summer Research in Mathematics program.
- Committee for the Education of Teaching Assistants teaching award, Purdue University.
- Purdue University Math Department Excellence in Teaching award for 2011-12.
- Graduated with honors, Universidade de Sao Paulo, 2006.