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The Program: It is undeniable that computers have changed the way we create and teach mathematics. Even classical old subjects such as geometry have not been immune to this influence. Among the most beautiful parts of geometry is combinatorial geometry, which deals with questions of geometric structures composed of finitely many elements. Examples of key structures include convex polytopes, hyperplane arrangements and point configurations. In this short course we introduce the audience to some fascinating computational problems that are at the same time profoundly deep and important but are beautiful and simple to understand. We will include daily hands-on laboratories using POLYMAKE and TOPCOM. Each day will be divided into theory and practice/exercise sessions. Topics of study include:
The Lecturer: Jesús De Loera is a member of the Mathematics faculty University of California, Davis, where his interests in discrete and computational geometry have afforded him regular crossover contacts as a member of the graduate groups in Applied Mathematics and Computer Science programs. Dr. De Loera received his B.S. in Mathematics from the National University in Mexico, and his Ph.D. in Applied Mathematics from Cornell University. Prior to his current role at UC Davis, Professor De Loera has held positions at the Geometry Center at the University of Minnesota, the Swiss Federal Technology Institute, the Mathematical Sciences Institute at Berkeley (where he organized a special semester on Discrete and Computational Geometry), and the Universität Magdeburg in Germany. Dr. De Loera's research has been recognized through an Alexander von Humboldt Award. His teaching and service to students has been widely recognized; among the honors he has received at UC Davis are 2003 Chancellor's Fellow, 2006 Diversity Award, and 2007 Award for Excellence in Service to Graduate Students.
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Carleton College, Northfield, MN
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Bioinformatics: Where Mathematics Meets Molecules
Laurie Heyer, Davidson College
University of Minnesota-Duluth, Duluth, MN
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Elwyn Berlekamp
Gustavus Adolphus College, St. Peter, MN
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The History of Mathematics
V. Frederick Rickey, United States Military Academy
Bemidji State University, Bemidji, MN
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Counting and Calculus
Richard Askey, University of Wisconsin - Madison
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