Mariana Smit Vega Garcia

GRANTS, AWARDS

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

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
arXiv:2204.05367

An overview of Almost Minimizers of Bernoulli-Type Functionals
M. Smit Vega Garcia
To appear in "50th John H. Barrett Memorial Lectures: A3N2M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models", IMA Volumes in Mathematics and its Applications, 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
Submitted
arXiv:2007.07349

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), 1893-1934

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, Pages 533-570
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, pages 573 - 601
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, pages 745-787
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, pages 682-750

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 Assistant
Purdue University, West Lafayette, USA

TEACHING