I am interested in persistent homology and its generalizations. In particular multiparameter persistence and persistence over lattices. Here is my Dissertation
A. McCleary and A. Patel.
Bottleneck Stability for Generalized Persistence Diagrams.
In the journal Proceedings of the AMS, Volume 148, Number 7, July 2020, pp 3149-3161.
A. McCleary and A. Patel. Edit Distance and Persistence Diagrams Over Lattices. October 2020.