Research Interests for Aubrey R. HB

I study Persistence Homology under the direction of John Harer. This is an application of homology to data sets to understand a topological structure that the data might have. Currently, I am looking at an application that Cohomology might have to give information about bundle structures over the data as well as seeing embedded structures within the complete topological structure of the data.

Keywords:

Cohomology, Stiefel-Whitney Classes, Persistent Homology

Areas of Interest:

Cohomology
Stiefel-Whitney Classes
Persistence Homology
Algorithms