Diego Marcon Farias
Ph.D., Instituto Superior Técnico, 2013
Departamento de Matemática – IST
Avenida Rovisco Pais, 1
1049-001 – Lisboa, Portugal
Phone: +351-960-067-526
E-mail: [email protected]
Website: http://www.ma.utexas.edu/users/dmarcon/
INFORMATION
Citizenship: Brazilian.
Date and place of birth: April 27, 1986. Porto Alegre, Brazil.
Languages: Portuguese (native) and English (fluent).
EDUCATION
Ph.D. in Mathematics. October 2009 – May 2013.
Instituto Superior Técnico, in the framework of the UT Austin – Portugal Program.
Thesis: Weak KAM and Aubry–Mather theories in an optimal switching setting.
Advisor: Diogo Gomes – IST.
Co-Advisor: Alessio Figalli – UT Austin.
M. Sc. in Mathematics. August 2007 – July 2009.
Universidade Federal do Rio Grande do Sul.
Thesis: Sobre soluções positivas de problemas semipositonos elı́pticos com dois parâmetros
[On positive solutions of semipositone elliptic problems with two parameters, in Portuguese].
Advisor: Eduardo Brietzke – UFRGS.
B. Sc. in Mathematics. March 2004 – July 2007.
Universidade Federal do Rio Grande do Sul.
FELLOWSHIPS
October 2009 – present.
Graduate scholarship from Fundação para a Ciência e Tecnologia – FCT, Portugal.
IMPA Summer fellow: 2007, 2009.
Instituto Nacional de Matemática Pura e Aplicada – IMPA, RJ, Brazil.
August 2007 – July 2009.
Gratuate scholarship from Conselho Nacional de Desenvolvimento Cientı́fico e Tecnológico –
CNPq, Brazil.
March 2005 – July 2007.
Undergratuate scholarship from Conselho Nacional de Desenvolvimento Cientı́fico e Tecnológico
– CNPq, Brazil.
AREAS OF RESEARCH
Calculus of variations, partial differential equations, optimal transport, Aubry–Mather theory.
Diego Marcon Farias
Page 2
PUBLICATIONS
3. Weak KAM and Aubry–Mather theories in an optimal switching setting (with A. Figalli and D.
Gomes). In preparation.
2. Homogenization of the A(x)−Laplacian, with applications to unilateral problems (with J.F.
Rodrigues and R. Teymurazyan). In preparation.
1. A quantitative log-Sobolev inequality for a two parameter family of functions (with E. Indrei),
International Mathematics Research Notices, to appear.
RESEARCH TALKS
June 7, 2013. Nonlinear PDEs in Continuum Mechanics, International Workshop.
CMAF/Universidade de Lisboa, Portugal.
Title: Calculus of variations and Weak KAM results in optimal switching problems.
April 24, 2013. PDE seminar at Instituto Superior Técnico, Portugal.
Title: A quantitative log-Sobolev inequality for a two parameter family of functions.
November 14, 2012. PDE seminar at Instituto Superior Técnico, Portugal.
Title: Calculus of variations and weak KAM theorem in optimal switching.
May 29, 2012. Candidacy exam at the University of Texas at Austin, USA.
Title: Weak KAM theory for an optimal switching problem.
REFERENCES
Prof. Diogo Gomes
Instituto Superior Técnico
[email protected]
Prof. Alessio Figalli
University of Texas at Austin
[email protected]
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Diego Marcon Farias - The University of Texas at Austin