Mariana Smit Vega Garcia

Mathematician | Mariana.SmitVegaGarcia@wwu.edu

ABOUT

I am an Associate Professor at Western Washington University.
Previously I was an Acting Assistant Professor at the University of Washington, working with Prof. Tatiana Toro, and a post-doc under the supervision of Prof. Georg Weiss, first at Heinrich Heine Universität and then at the Universität Duisburg-Essen (Germany).
I obtained my PhD in Mathematics at Purdue University (US), and my master's and bachelor's at the Universidade de São Paulo (Brazil).
My primary research interests lie in Geometric Analysis and Partial Differential Equations, particularly free boundary problems. I have also been working on Combinatorics.

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GRANTS, AWARDS

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

2021-2024

Peter J. Elich Excellence in Teaching Award
One such award is given per year to a faculty member from either the College of Humanities and Social Sciences or the College of Science and Engineering, in recognition for their exemplary teaching practices, Western Washington University

2023

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

2023

AWM-NSF Travel Grant

2018

UW Office of Postdoctoral Affairs Travel Award
University of Washington

2018

Institut Mittag-Leffler Postdoctoral fellowship grant

2014

AMS Grad Student Travel Grant

2013

Committee for the Education of Teaching Assistants teaching award
Purdue University

2012

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

2011

Zoltners Scholarship
Purdue University

2009

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

2006-2008

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

2005-2006

Graduated with honors
Universidade de Sao Paulo

2006

PUBLICATIONS

Variable-coefficient parabolic theory as a high-dimensional limit of elliptic theory
B. Davey & M. Smit Vega Garcia
arXiv:2304.10731v1

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

2023

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

2023

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.

2022

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

2021

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

2021

The fractional unstable obstacle problem
M. Allen & M. Smit Vega Garcia
Nonlinear Analysis, Vol 193, April 2020
arXiv:1811.12497

2020

Almost minimizers for the thin obstacle problem with variable coefficients
S. Jeon, A. Petrosyan & M. Smit Vega Garcia
Submitted
arXiv:2007.07349

2020

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

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

2017

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

2017

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

2016

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

2016

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

2014

EDUCATION

PhD in Mathematics
Purdue University
Advisor: Arshak Petrosyan
Dissertation title: Optimal regularity in the lower dimensional obstacle problem with variable coefficients

2009 - 2014

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

2006 - 2008

Bachelors in Mathematics
Universidade de Sao Paulo, Brazil

2003 - 2006

POSITIONS

Associate Professor
Western Washington University, Bellingham, USA

2021 -

Assistant Professor
Western Washington University, Bellingham, USA

2018 - 2021

Acting Assistant Professor
University of Washington, Seattle, USA

Mentor: Prof. Tatiana Toro

2016 - 2018

Post-doc
University of Duisburg-Essen and Heinrich Heine University, Germany

Mentor: Prof. Georg Weiss

2014 - 2016

Teaching Assistant
Purdue University, West Lafayette, USA

2013 - 2014

Research Assistant
Purdue University, West Lafayette, USA

2011 - 2013

Teaching Assistant
Purdue University, West Lafayette, USA

2009 - 2011

TEACHING

MATH 226: Limits and Infinite Series, WWU
MATH 312: Proofs in Elementary Analysis, WWU

Spring 2023

Mariana Smit Vega Garcia

Mathematician | Mariana.SmitVegaGarcia@wwu.edu

ABOUT

GRANTS, AWARDS

PUBLICATIONS

EDUCATION

POSITIONS

TEACHING

CONTACT