I am a professor at Georgia Tech. Previously, I was a Ritt Assistant Professor at Columbia University and a member of the IAS. I earned my PhD at the University of Pennsylvania under the supervision of Paul Melvin

I study low-dimensional topology, usually using Heegaard Floer homology. My preprints and papers are available on the arXiv. More details can be found in my CV (last updated August 2026).

I have visited 45 of the 50 states, and have given math talks in 27 different states. As of August 2026, I have not been to Alaska, Kansas, Montana, North Dakota, or South Dakota.

Current Teaching

Fall 2026: Math 2106: Foundations of Mathematical Proof

Email:
hom [at] math.gatech.edu