NEWS in the Department of Mathematics
Matthew Niemerg - PhD final examination
Date: Tuesday, March 11 2014
Place: Weber 201
Time: 11:00 a.m.
Title: Gale Duality, Decoupling, Parameter Homotopies, and Monodromy
Advisor: Dr. Dan Bates
Dr. Chris Peterson
Dr. Patrick Shipman
Dr. Chihoon Lee
Abstract: Numerical Algebraic Geometry (NAG) has recently seen significantly increased application among scientists and mathematicians as a tool that can be used to solve nonlinear systems of equations, particularly polynomial systems. With the many recent advances in the field, we can now routinely solve problems that could not have been solved even 10 years ago. We will give an introduction and overview of numerical algebraic geometry and homotopy continuation methods; discuss heuristics for preconditioning fewnomial systems, as well as provide a hybrid symbolic-numerical algorithm for computing the solutions of these types of polynomials and associated software called galeDuality; describe a software module of bertini named paramotopy that is scientific software specifically designed for large-scale parameter homotopy runs; give two examples that are parametric polynomial systems on which the aforementioned software is used; and finally describe two novel algorithms, decoupling and a heuristic that makes use of monodromy.
The AMS announces MATHEMATICS RESEARCH COMMUNITIES
Snowbird Resort, Utah
The AMS invites mathematicians just beginning their research careers to become part of Mathematics Research Communiities, a program to develop and sustain long-lasting cohorts for collaborative research projects in many areas of mathematics. Women and underrepresented minorities are especially encouraged to participate. The AMS will provide a structured program to engage and guide all participants as they start their careers. The program will include:
**One-week summer conference for each topic
**Special Session at the national meeting
**Discussion networks by research topic
**Funding for additional collaborations
**Longitudinal study of early-career mathematicians
June 8-14, 2014
June 15-21, 2014
Algebraic and Geometric Methods in Applied Discrete Mathematics
June 24-30, 2014
Mathematics of Quantum Phases of Matter and Quantum Information
June 24-30, 2014
For details, go to: http://www.ams.org/programs/research-communities/mrc
AMS - AMERICAN MATHEMATICAL SOCIETY
Grants to support collaborations between Chinese and U.S./Canadian researchers are made possible
through the generosity of Ky and Yu-Fen Fan.
The Fan China Exchange
Program is intended to send eminent mathematicians from the U.S. and Canada to make a positive
impact on the mathematical research community in China and to bring Chinese scientists in the early
stages of their research to the U.S. and Canada to help further their careers. The program
encourages host institutions to provide some type of additional support for the travel or living
expenses of the visitor and to ensure a suitable length of stay.
Applications received before March 15 will be considered for the following academic year.
For more information on the Fan China Exchange Program and application process see
www.ams.org/employment/chinaexchange.html or contact the AMS Membership and Programs Department by
telephone at 800-321-4267, ext. 4170 (U.S. and Canada), or 401-455-4170 (worldwide), or by email at firstname.lastname@example.org.
Mathematical Sciences Research Institute’s (MSRI)
2014 Summer Graduate Schools
For details, please visit:
2014 MSRI SUMMER GRADUATE SCHOOLS
This coming summer MSRI is hosting three summer graduate schools in Berkeley, CA and co-sponsoring two* additional schools at off-site locations:
Dispersive Partial Differential Equations June 16 – 27, 2014 at MSRI
Séminaire de Mathématiques Supérieures 2014: Counting Arithmetic Objects June 23 – July 4, 2014 in Montréal, Canada
IAS/PCMI 2014: Geometry and Materials June 29 – July 19, 2014 in Park City, Utah
Stochastic Partial Differential Equations July 7 – 18, 2014 at MSRI
Geometry and Analysis July 28 – August 8, 2014 at MSRI