I am a Mathematical Physicist working in the intersection of Analysis and Quantum Field Theory. I am currently an Assistant Professor at Old Dominion University. During Fall 2025, SL Math for the program 'Kinetic Theory: Novel Statistical, Stochastic and Analytical Methods'. From 2022 until 2025, I was a Postdoctoral Associate working under the mentorship of Prof. Mitchell Luskin. Before that, I obtained my PhD from UT Austin (2016-2022) under the guidance of Thomas Chen and Nataša Pavlović.
I am studying the models to describe the fascinating behavior of moiré materials in the context of a Simons targeted grant on 'moiré materials magic'. These materials have exhibited some phenomena that were theoretically predicted, but never experimentally observed. They also exhibit phenomena, such as no-loss electron transport (superconductivity), for which we do not have sufficient theoretical understanding. Moiré materials could play a crucial role in engineering future electronic devices.
I am also working on the derivation of effective equations from first principles in quantum mechanics (a.k.a. Schrödinger's equation for many particles). In particular the study of the validity of a quantum Boltzmann equation for interacting bosons or fermions from first principles is a long-standing open problem. Solving it would bridge an important gap in our understanding of macroscopic dynamics, such as fluid dynamics, at very low temperatures.
My preferred pronouns are he/him/el or they/them/ellos.
E-Mail: mhott [at] odu.edu
If you'd like to schedule a meeting, please contact me first via E-Mail.
If you are interested in Mathematical Physics or would like to know more about it, feel free to reach out to me!