Areas of Interest
Topology and differential geometry
Research
My general interest is the geometry and topology of aspherical spaces. I have done some work in the study of the relationship between exotic structures and (negative, non-positive) curvature, and its applications to the limitations of PDE methods in geometry. Other interests: geometric group theory, K-theory, mechanics.
Courses
Fall 2026
| Course |
Section |
Title |
Schedule |
Room |
| Math 324 |
01 |
ODE's for Scientists/Engineers |
TR 8:30–10:30
|
CW-331
|
| Math 518 |
01 |
Algebraic Topology II |
TR 10:45–12:15
|
WH-329
|
Ph.D. Students
-
Theodore Ofner,
Summer, 2020
— Warped Product Constructions Relating to Graphs of Groups
-
Kyle Bayes,
Summer, 2019
— Index Theorem for Closed Geodesics
-
Mauricio Bustamante,
Spring, 2016
(Co-advisor:
Thomas Farrell)
— On the topology of the space of pinched negatively curved metrics with finite volume and identical ends
-
Barry Minemyer,
Summer, 2013
— Isometric Embeddings of Polyhedra
-
Adriano DeOliveira,
Spring, 2012
— A Geometric Version of the Twisted Nil-Groups
-
Cristina Salviano,
Spring, 2012
— The Index Space of a Geodesic
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