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João Gouveia
Graduate Student
Department of Mathematics at the University of Washington
Box 354350 Seattle, WA 98195-4350
Office: PDL C-8D
E-mail: jgouveia@math.washington.edu
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I'm currently not teaching.
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I'm studying algebraic methods for combinatorial optimization and semidefinite programming with professor Rekha Thomas. I'm also part of the FRG on semidefinite optimization and convex algebraic geometry .
- “Theta Bodies for Polynomial Ideals”, with Pablo Parrilo and Rekha Thomas
- “Lasserre relaxations with non-exposed faces”
- “Comparing SOS and SDP relaxations of sensor network localization”, with Ting Kei Pong
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October/November '08,- seminars on the paper “Theta Bodies for Polynomial Ideals” - UC Berkeley's Discrete Mathematics seminar, UC Davis' Algebra and Discrete Mathematics seminar and at U Washington's Optimization Seminar. slides.
March '09 - survey talk on “Semidefinite representable sets” - CWI in Amsterdam, in a DIAMANT seminar on combinatorics and optimization.
April ' 09 - “A new SDP approach to the Max-Cut problem” - West Section Meeting of the AMS at SFSU. slides.
July' 09 - “Theta Bodies for Polynomial Ideals” - Seminar of Real Algebraic Geometry at the University of Konstanz.
August' 09 - “A new SDP approach to the Max-Cut problem” - 20th ISMP in Chicago.
October' 09 - “A new SDP approach to the Max-Cut problem” - INFORMS
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I come from Portugal where I did my undergraduate studies and Master's at the Department of mathematics of the University of Coimbra. Since Fall 2006 I've been doing my PhD at the UW.
- My Master's Thesis in Tropical Geometry (in Portuguese)
- A preprint I did in my first undergraduate year on some electoral geometry problem (in English)
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