Mariana Smit Vega Garcia

GRANTS, AWARDS

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

Karen EDGE Fellowship

Peter J. Elich Excellence in Teaching Award (link)

Variable-coefficient parabolic theory as a high-dimensional limit of elliptic theory
arXiv:2304.10731v1
Davey & M. Smit Vega Garcia
Calc. Var. 63, 40 (2024).

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, pp. 321–380
arXiv:2007.07349

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

Almgren-type monotonicity formulas
M. Smit Vega Garcia
Submitted.

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

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