Algebraic Geometry for Applications

June 18 - July 06, 2012

Content

Overview

Advisory:

Program Website
Georgia Institute of Technology

Deadline extended to April 8, 2012

Organizers:

Greg Blekherman	Georgia Institute of Technology
Anton Leykin	Georgia Institute of Technology
Josephine Yu	Georgia Institute of Technology

This program is primarily for graduate students of IMA Participating Institutions. Support for a limited number of students at other U.S. universities will be provided through funding from the National Science Foundation.In order to participate, students need to complete the online application form provide a personal statement and (1) a letter of nomination from the PI chair (for students from an IMA PI) or (2) a recommendation letter (for students from institutions that are not IMA PI).

From Monday, June 18, 2012 through Friday, July 6, 2012, Georgia Institute of Technology will be the host of the IMA PI Summer Graduate Program in Mathematics.

Techniques and algorithmic methods from algebraic geometry are making an impact on applied mathematics and engineering. Algebraic techniques provide new approaches to hard computational problems. They deliver exact answers desired in many applications through symbolic computation, and enhance approximate numerical solving.

The program will be structured around a course in computational algebraic geometry, treating foundational material as well as current applications. The foundations will include introductions to Gröbner bases, numerical algebraic geometry, semidefinite programming and real algebraic geometry, and tropical geometry. We will include tutorials and lab sessions on computer algebra systems. There will be several guest lectures by the leading researchers in the field.

Main Lecture Topics

Polynomial Optimization and Real Algebraic Geometry
Computer Algebra and Numerical Algebraic Geometry
Tropical Geometry

Guest Lecturers
Alicia Dickenstein	University of Buenos Aires
Diane Maclagan	University of Warwick
Pablo Parrilo	Massachusetts Institute of Technology
Mike Stillman	Cornell University
Bernd Sturmfels	UC Berkeley
Rekha Thomas	University of Washington
Charles Wampler	General Motors

Participants

Name	Department	Affiliation
Spencer Backman	Department of Mathematics	Georgia Institute of Technology
Krishnakumar Balasubramanian	College of Computing	Georgia Institute of Technology
Sal Barone	Mathematics Department	Purdue University
Roberto Barrera	Mathematics Department	Texas A & M University
Greg Blekherman	School of Mathematics	Georgia Institute of Technology
Andrew Bridy	Department of Mathematics	University of Wisconsin, Madison
Melody Chan	Department of Mathematics	University of California, Berkeley
Martin Copenhaver	Mathematics Department	Georgia Institute of Technology
Eric Crockett	College of Computing (ACO)	Georgia Institute of Technology
Sebastian Csar	Mathematics Department	University of Minnesota, Twin Cities
Brent Davis	Department of Mathematics	Colorado State University
Robert Davis	Department of Mathematics	University of Kentucky
Alicia Dickenstein	Departamento de Matemática, FCEN	University of Buenos Aires
Michael DiPasquale	Mathematics Department	University of Illinois at Urbana-Champaign
Natalia Dueck	Institute of Computer Technology	Technische Universität Hamburg-Harburg
David Dynerman	Department of Mathematics	University of Wisconsin, Madison
Hamza Fawzi	Electrical Engineering and Computer Science	Massachusetts Institute of Technology
Rodrigo Ferraz de Andrade	Department of Mathematics	Purdue University
Benjamin Gaines	Mathematics Department	Duke University
Charu Goel	BAD ADDRESS	Universität Konstanz
Emily Gunawan	Department of Mathematics	University of Minnesota, Twin Cities
Martin Harrison	Department of Mathematics	University of California
Jen-Chieh Hsiao	Mathematics Department	Purdue University
Min Huang	Department of Mathematics	Zhejiang University
Anders Jensen	Institut for Matematiske Fag	Aarhus University
Chengen Jiang	Department of Mathematics	Zhejiang University
Thomas Kahle	Department of Mathematics	ETH Zürich
Kai Kellner	Discrete Mathematics	Johann Wolfgang Goethe-Universität Frankfurt
Dokyoung Kim	Department of Mathematics	Pohang University of Science and Technology (POSTECH)
Jaekwang Kim	Department of Mathematics	Pohang University of Science and Technology (POSTECH)
Robert Krone	Department of Mathematics	Georgia Institute of Technology
Aaron Kunert	Department of Mathematics	Universität Konstanz
Anton Leykin	School of Mathematics	Georgia Institute of Technology
Nan Li	Academy of Mathematics and Systems Science	Chinese Academy of Sciences
Ying Liu	Department of Industrial & Systems Engineering	Lehigh University
Ye Luo	Department of Mathematics	Georgia Institute of Technology
Diane Maclagan	Department of Mathematics	University of Warwick
Sara Malec	Department of Mathematics	Georgia State University
Abraham Martin del Campo	Department of Mathematical Sciences	Texas A & M University
Fatemeh Mohammadi	MSRI	Mathematical Sciences Research Institute
Naveen Nallappan	Department of Mathematics	Georgia Institute of Technology
Patrik Norén	Department of Mathematics	Aalto University
Pablo Parrilo	Department of Electrical Engineering and Computer Science	Massachusetts Institute of Technology
Frank Permenter	Computer Science and Artificial Intelligence Laboratory	Massachusetts Institute of Technology
Jeff Poskin	Department of Mathematics	University of Wisconsin, Madison
Hamid Rahkooy		Johannes Kepler Universität Linz
Pedro Rangel	Department of Mathematics	Georgia Institute of Technology
Qingchun Ren	Department of Mathematics	University of California, Berkeley
Jose Rodriguez	Mathematics Department	University of California, Berkeley
Zekiye Sahin	Mathematics Department	Texas A & M University
Paul Schrader	Department of Mathematics	Cleveland State University
Sepideh Shafiee	Department of Mathematics	Northeastern University
Farbod Shokrieh	Mathematics Department	Georgia Institute of Technology
Laura Silverstein	Mathematics and Statistics Department	San Diego State University
Rainer Sinn	Department of Mathematics	Universität Konstanz
Erik Sjöland	Institute of Mathematics	Aalto University
Mahdi Soltanolkotabi	Electrical Engineering	Stanford University
Michael Stillman	Department of Mathematics	Cornell University
Bernd Sturmfels	Department of Mathematics	University of California, Berkeley
Rekha Thomas	Department of Mathematics	University of Washington
Bulent Tosun	Department of Mathematics	Georgia Institute of Technology
Christian Trabandt	Discrete Mathematics	Johann Wolfgang Goethe-Universität Frankfurt
Jacob Turner	Mathematics Department	The Pennsylvania State University
Markus Vasquez	Department of Mathematics	University of California, Berkeley
Cynthia Vinzant	Department of Mathematics	University of Michigan
Charles Wampler		General Motors Corporation
Joshua Wen	Mathematics Department	University of California, Berkeley
Sebastian Wenzel	Fachbereich Mathematik und Statistik	Universität Konstanz
Jean Yeh	Department of Mathematics	Texas A & M University
Arnold Yim	Mathematics Department	Purdue University
Josephine Yu	School of Mathematics	Georgia Institute of Technology
Xiangcheng Yu	Mathematics, Statistics, and Computer Science	University of Illinois, Chicago
Radoslav Zlatev	Department of Mathematics	Cornell University