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My Ph.D. Thesis

RESEARCH

 
My interests lie in Geometric Combinatorics. In particular, I enjoy thinking about the topology of real toric varieties. My advisor is Clint McCrory
I have two preprints on the arXiv:
Hodge spaces for real toric varieties. arXiv:0705.0516v1
A counterexample to the maximality of toric varieties. arXiv:math/0611925v1

Fall 2006 I was involved with the Algebraic Graph Theory VIGRE Group, led by Dino Lorenzini .

In my previous mathematical life (while working on my master's degree), I studied dynamic equations on time scales with Allan Peterson
My paper in that area:
Liouville's formula on time scales. Special issue: dynamic equations on time scales. Dynam. Systems Appl. 12 (2003), no. 1-2, 79--86. MathSciNet

I also attended a VIGRE mini-course on Variational Methods and Nonlinear PDEs at the University of Utah in Summer 2002. Here is my project, completed with Rolf Ryham.

Some software that I use frequently in my research and highly recommend:
Torhom
Polymake







e-mail: vhower@math.uga.edu