Mariana Smit Vega Garcia

GRANTS, AWARDS

NSF Analysis Standard Grant
Analysis and Geometry of Free Boundaries, award number 2054282

Karen EDGE Fellowship

NSF Conferences and Workshops in the Mathematical Sciences grant
Conference: Geometry of Measures and Free Boundaries, a conference in honour of Tatiana Toro

NSF Conferences and Workshops in the Mathematical Sciences grant
Conference: PDE in Moab: Advances in Theory and Application

Peter J. Elich Excellence in Teaching Award (link)

Simons Laufer Mathematical Sciences Institute (SLMath, formerly MSRI) - 2023 Summer Research in Mathematics program

AWM-NSF Travel Grant

UW Office of Postdoctoral Affairs Travel Award
University of Washington

Institut Mittag-Leffler Postdoctoral fellowship grant

AMS Grad Student Travel Grant

Committee for the Education of Teaching Assistants teaching award
Purdue University

Purdue University Math Department Excellence in Teaching award for 2011-12
Purdue University

Zoltners Scholarship
Purdue University

Grant from the State of Sao Paulo Research Foundation (FAPESP), 06/53020-5

Grant from the State of Sao Paulo Research Foundation (FAPESP), 2005/50187-3

Graduated with honors
Universidade de Sao Paulo

PUBLICATIONS

Variable-coefficient parabolic theory as a high-dimensional limit of elliptic theory
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

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

Almost minimizers for the thin obstacle problem with variable coefficients
S. Jeon, A. Petrosyan & M. Smit Vega Garcia
Interfaces Free Bound. 26 (2024), no. 3
arXiv:2007.07349

Almgren-type monotonicity formulas
M. Smit Vega Garcia
Matematica Contemp. Vol 61.

An Almgren monotonicity formula for discrete harmonic functions
M. Smit Vega Garcia & S. Steinerberger
arXiv:2311.11887

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), 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

The singular free boundary in the Signorini problem for variable coefficients
N. Garofalo, A. Petrosyan & M. Smit Vega Garcia
Indiana Univ. Math. J. 67 No. 5 (2018)

Higher regularity of the free boundary in the parabolic Signorini problem
A. Banerjee, M. Smit Vega Garcia & A. K. Zeller
Calc. Var. (2017) 56: 7. doi:10.1007/s00526-016-1103-7
arXiv:1601.02976

Regularity of the free boundary for the obstacle problem for the fractional Laplacian with drift
N. Garofalo, A. Petrosyan, C. Pop & M. Smit Vega Garcia
Annales Henri Poincare, Analyse Non Lineaire, Volume 34, Issue 3, May-June 2017
arXiv:1509.06228

Singularities in ElectroHydroDynamic Flows
M. Smit Vega Garcia, E. Varvaruca & G. S. Weiss
Archive for Rational Mechanics and Analysis, Nov 2016, Volume 222, Issue 2
arXiv:1512.04798

An epiperimetric inequality approach to the regularity of the free boundary in the Signorini problem with variable coefficients
N. Garofalo, A. Petrosyan & M. Smit Vega Garcia
Journal de Mathematiques Pures et Appliquees, Volume 105, Issue 6, June 2016
arXiv:1501.06498

New monotonicity formulas and the optimal regularity in the Signorini problem with variable coefficients
N. Garofalo & M. Smit Vega Garcia
Advances in Mathematics, Volume 262, Sep 2014

EDUCATION

Masters in Mathematics
Universidade de Sao Paulo, Brazil
Advisor: Paulo Cordaro
Dissertation title: Division of tempered distributions by polynomials

Bachelors in Mathematics
Universidade de Sao Paulo, Brazil

POSITIONS

Mentor: Prof. Tatiana Toro

Mentor: Prof. Georg Weiss

Teaching Assistant
Purdue University, West Lafayette, USA

Research Assistant
Purdue University, West Lafayette, USA

TEACHING