Research Summary

I study the representation theory of quivers and associative algebras and related concepts in combinatorics, representation theory, and homological algebra. Some of my specific research interests are:

• Lattices of torsion classes and completely semidistributive lattices, combinatorial interpretations of τ-tilting theory

• Applications of homological algebra to topological data analysis

• Torsion classes and analogs of τ-tilting theory for exact categories

• Semi-invariant pictures, picture groups, and stability conditions

• Representations of continuous quivers

I also have an interest in privacy preserving data publication. The intuitive goal is to mathematically guarantee that a release of an (edited) dataset or statistic will not violate the privacy of those whose data it contains. I am particularly interested in how data weighting and editing impacts privacy guarantees.

Google Scholar and Research Gate profiles.

My papers on the arXiv.