I am interested in persistent homology and its generalizations. In particular multiparameter persistence and persistence over lattices. Here is my Dissertation

## Published Papers:

A. McCleary and A. Patel.
Bottleneck Stability for Generalized Persistence Diagrams.
ArXiv version.

In the journal Proceedings of the AMS, Volume 148, Number 7, July 2020, pp 3149-3161.

M. Aldi and A. McCleary.
Darboux Calculus.
ArXiv version.

In the journal Involve, Volume 12, Number 3, 2019, pp 361-380.

## Preprints:

A. McCleary and A. Patel. Edit Distance and Persistence Diagrams Over Lattices. October 2020.