Who is this guy and what's going on here?

I'm a Ph.D. student in the mathematics department at UT Austin who has only very recently decided that he should have a website. Things here will hopefully change dramatically in the near future.

research interests

My current primary research interest is the orientation determination problem in cryo electron microscopy (Cryo-EM). In particular I'm working on the orientation determination problem in the case of symmetries. The mathematics involved in this problem includes representation theory, algebraic geometry, computational commutative algebra and numerical analysis.

My secondary research interest is in computational and applied topology. More specifically, I'm working on problems related to persistent homology and topological simplification.

More generally, I'm interested in algebra, geometry and topology, and in their applications to data analysis.