# Michael Cerchia

Email: michael.cerchia@maine.edu

Office: 236 Neville Hall

Department of Mathematics

The University of Maine

I am a (postdoctoral) Assistant Professor at the University of Maine. In August 2024, I earned my PhD in mathematics at Emory University, where I worked with David Zureick-Brown.

I am broadly interested in algebraic geometry and number theory, with specific interests in the arithmetic of moduli spaces, stacks, and modular curves.

My CV.

## Papers and Projects

In Progress: **The canonical ring of the moduli space of abelian varieties for genus up to 6**

In Progress: **Sporadic quartic torsion**, with Alexis Newton

**Section rings of Q-divisors on genus 1 curves** arxiv, with Jesse Franklin and Evan O'Dorney, 2023

**Uniform bounds on the image of the arboreal Galois representations attached to non-CM elliptic curves** arxiv, with Jeremy Rouse, *Proceedings of the American Mathematical Society*, 2021

## Teaching

In Fall 2024, I am teaching MAT 126 (Calculus I).

I was involved in the Emory Math Circle during my time at Emory.

## Seminars

In Fall 2021 and Spring 2022, I organized a seminar on automorphic forms in preparation for the Arizona Winter School.

## Other

In Summer 2023, I was an intern at MinedXai, where I developed a forex forecasting platform using tools from topological data analysis.