Areas of Interest
Convex polytopes, oriented matroids, topological methods in discrete geometry, the existential theory of the reals, and computational complexity
Research
Recently I have been focused on combinatorial and topological analogs of geometric objects, and circumventing some challenges of real algebraic geometry. In particular, I have constructed a classifying space for vector bundles from topological representations of oriented matroids, and I am working on extending these results.
Office Hours
| Math 314 |
W: 10:00 - 1:00 |
| Math 304 |
F: 10:00 - 1:00 |
Courses
Fall 2026
| Course |
Section |
Title |
Schedule |
Room |
| Math 304 |
04 |
Linear Algebra |
MWF 1:30–3:00
|
FA-209
|
| Math 314 |
03 |
Discrete Mathematics |
MWF 3:15–4:45
|
LH-012
|
Ph.D. Students
-
Shiyi Ma,
Summer, 2024
— Continuity of Curve Shortening Flow and Enumeration of Nerves
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