In the past fifteen years, methods from algebra and algebraic geometry have been used in optimization to design algorithms and understand the structure of optimization problems. These techniques include basis reduction, the theory of Groebner bases, rational generating functions, nonnegativity of real polynomials and further methods from real algebraic geometry. This tutorial will be roughly divided into two parts---the first focussing on algebraic methods in discrete optimization and the second on methods from algebra and real algebraic geometry in semi-definite programming and polynomial optimization.
| Name |
Department |
Affiliation |
| Cheonghee Ahn |
Department of Mathematics |
Yonsei University |
| Elizabeth S. Allman |
Department of Mathematics and Statistics |
University of Alaska |
| Douglas N. Arnold |
Institute for Mathematics and its Applications |
University of Minnesota Twin Cities |
| Donald G. Aronson |
Institute for Mathematics and its Applications |
University of Minnesota Twin Cities |
| Daniel J. Bates |
Institute for Mathematics and its Applications |
University of Minnesota Twin Cities |
| Víctor Blanco Izquierdo |
Department of Statistics and Operational Research |
University of Sevilla |
| Cristiano Bocci |
Department of Mathematics |
Università di Milano |
| Tristram Bogart |
Department of Mathematics |
University of Washington |
| Hartwig Bosse |
PNA1 (Algorithms, Combinatorics and Optimization) |
Center for Mathematics and Computer Science (CWI) |
| Enrico Carlini |
Dipartimento di Matematica |
Politecnico di Torino |
| Hi Jun Choe |
Department of Mathematics |
Yonsei University |
| Ionut Ciocan-Fontanine |
Institute for Mathematics and its Applications |
University of Minnesota Twin Cities |
| Jesus Antonio De Loera |
Department of Mathematics |
University of California |
| Xuan Vinh Doan |
Operations Research Center |
Massachusetts Institute of Technology |
| Kenneth R. Driessel |
Department of Mathematics |
Iowa State University |
| Mathias Drton |
Department of Statistics |
University of Chicago |
| Lingling Fan |
|
Midwest ISO |
| Makan Fardad |
Department of Electrical and Computer Engineering |
University of Minnesota Twin Cities |
| Stephen E. Fienberg |
Department of Statistics |
Carnegie-Mellon University |
| Ioannis Fotiou |
Automatic Control Laboratory |
Eidgenössische TH Zürich-Hönggerberg |
| Jason E. Gower |
Institute for Mathematics and its Applications |
University of Minnesota Twin Cities |
| Gloria Haro Ortega |
Institute for Mathematics and its Applications |
University of Minnesota Twin Cities |
| Milena Hering |
Institute for Mathematics and its Applications |
University of Minnesota Twin Cities |
| Serkan Hosten |
Department of Mathematics |
San Francisco State University |
| Benjamin J. Howard |
Institute for Mathematics and its Applications |
University of Minnesota Twin Cities |
| Evelyne Hubert |
Project CAFE |
Institut National de Recherche en Informatique Automatique (INRIA) |
| Farhad Jafari |
Department of Mathematics |
University of Wyoming |
| Amin Jafarian |
Department of Electrical and Computer Engineering |
University of Texas |
| Anders Nedergaard Jensen |
Institut for Matematiske Fag |
Aarhus University |
| Steve Kaliszewski |
Department of Mathematics and Statistics |
Arizona State University |
| Edward D. Kim |
Department of Mathematics |
University of California |
| Si-Jo Kim |
Department of Chemicial Engineering |
Andong National University |
| Henry C. King |
Department of Mathematics |
University of Maryland |
| Song-Hwa Kwon |
Institute for Mathematics and its Applications |
University of Minnesota Twin Cities |
| Jean Bernard Lasserre |
LAAS |
Centre National de la Recherche Scientifique (CNRS) |
| Niels Lauritzen |
Institut for Matematiske Fag |
Aarhus University |
| Anton Leykin |
Institute for Mathematics and its Applications |
University of Minnesota Twin Cities |
| Hstau Y Liao |
Institute for Mathematics and its Applications |
University of Minnesota Twin Cities |
| Gennady Lyubeznik |
School of Mathematics |
University of Minnesota Twin Cities |
| Hannah Markwig |
Institute for Mathematics and its Applications |
University of Minnesota Twin Cities |
| Thomas Markwig |
Department of Mathematics |
Universität Kaiserslautern |
| Lisa A. Miller |
Department of Mechanical Engineering |
University of Minnesota Twin Cities |
| Richard B. Moeckel |
School of Mathematics |
University of Minnesota Twin Cities |
| Kristen Nairn |
|
St. John's University |
| Jiawang Nie |
Institute of Mathematics and its Application |
University of Minnesota Twin Cities |
| Edwin O'Shea |
Department of Mathematics |
University of Kentucky |
| Mihai Putinar |
Department of Mathematics |
University of California |
| Bharath Rangarajan |
Department of Mechanical Engineering |
University of Minnesota Twin Cities |
| Victor Reiner |
School of Mathematics |
University of Minnesota Twin Cities |
| John A. Rhodes |
Department of Mathematics and Statistics |
University of Alaska |
| Jakayla Robbins |
Department of Mathematics |
University of Kentucky |
| Joel Roberts |
School of Mathematics |
University of Minnesota Twin Cities |
| Philipp Rostalski |
Automatic Control Laboratory |
Eidgenössische TH Zürich-Hönggerberg |
| Bjarke Hammersholt Roune |
Department of Mathematics |
Aarhus University |
| Christopher Ryan |
Sauder School of Business |
University of British Columbia |
| Arnd Scheel |
Institute for Mathematics and its Applications |
University of Minnesota Twin Cities |
| Parikshit Shah |
Department of Electrical Engineering and Computer Science |
Massachusetts Institute of Technology |
| Chehrzad Shakiban |
Institute of Mathematics and its Application |
University of Minnesota Twin Cities |
| Steven Sperber |
School of Mathematics |
University of Minnesota Twin Cities |
| Dumitru Stamate |
School of Mathematics |
University of Minnesota Twin Cities |
| Rekha R. Thomas |
Department of Mathematics |
University of Washington |
| Carl Toews |
Institute for Mathematics and its Applications |
University of Minnesota Twin Cities |
| John Voight |
Institute for Mathematics and its Applications |
University of Minnesota Twin Cities |
| Tiyu Wang |
Department of Mathematics |
University of California |
| Gregory Emmanuel Yawson |
Department of Engineering Technology |
Lawrence Technological University |
| Josephine Yu |
Department of Mathematics |
University of California |
| Hongchao Zhang |
Institute for Mathematics and its Applications |
University of Minnesota Twin Cities |
| Lihong Zhi |
Mathematics Mechanization Research Center |
Chinese Academy of Sciences |
