Mariana Smit Vega Garcia

Mathematician | marianag@uw.edu

ABOUT

I am an Acting Assistant Professor at the University of Washington, working with Prof. Tatiana Toro.
Previously I was 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.


PUBLICATIONS

The singular free boundary in the Signorini problem for variable coefficients
N. Garofalo, A. Petrosyan & M. Smit Vega Garcia
To appear in "Indiana University Mathematics Journal"

2017

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
Acting Assistant Professor
University of Washington, Seattle, USA

Mentor: Prof. Tatiana Toro

2016 - present

Post-doc
University of Duisburg-Essen (in Essen) and Heinrich Heine University (in Dusseldorf), 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




ACHIEVEMENTS AND AWARDS

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

Graduated with honors
Universidade de Sao Paulo

2006



TEACHING

Fall 2017

Additional teaching information can be found here.

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