Research

I do research in summability theory with a view toward applications in ergodic theory and combinatorics. I currently have two submitted manuscripts, along with several more in preperation.

• Weighted averages of arithmetic functions and applications to equidistribution (jointly with V. Bergelson, F. Richter), 2026.

• Uniform weighted averages and a conjecture of Bergelson, Moreira, and Richter, 2026.

I have led several undergraduate research projects as a graduate student mentor. These have resulted in two papers that have been submitted for publication:

• Recurrence Relations for Cosets in Free Groups

• A Composition Theorem for Binomially Weighted Averages

Also, here is a paper I coauthored as a part of an undergraduate research project:

• An Extension of Stanley's Symmetric Acyclicity Theorem to Signed Graphs (jointly with J. Huryn, O. Coppola), The Electronic Journal of Combinatorics, (3) 31 (2024), #P3.11 (pdf.)