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
Weil polynomials of abelian varieties over finite fields arxiv, with Zeyu Liu, Diana Mocanu, Haodong Yao, Jing Ye, 2025
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 Spring 2025, I taught MAT 463 (Introduction to Abstract Algebra) and MAT 127 (Calculus II). Here are my evaluations for these courses, respectively.
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.
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