Webpage of David Haws
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I am a Postdoc at the University of Kentucky in the department of Statistics. My advisor is Professor Ruriko Yoshida. Contact Information: David Haws Email: d a v i d . h a w s @ u k y . e d u
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Research Interests: My research interests are computational/evolutionary biology, combinatorial optimization, statistical processes and matroid polytopes. Currently I am studying the distribution of gene trees and using statistical methods to identify outliers and classify biological data. My thesis was on matroids which are fascinating and powerful combinatorial objects due to their many equivalent axiomatizations. They find applications in both pure and applied math, e.g. optimization and algebraic geometry. I am proud to have worked on both applied and pure aspects of matroid theory. Many of the combinatorial properties of a matroid can be encoded inside a convex polytope called the matroid polytope. Specifically I am interested in generating functions, Ehrhart polynomials, volume, $h^*$-vectors, triangulations, coverings, computational geometry, and integer optimization as they relate to matroid polytopes.
Classes:
Summer 2008: AI Math 21C
Winter 2008: AI Math 16A
Fall 2007: TA Math115A
Spring 2007: AI Math 21C