Neil Epstein

Associate Professor
George Mason University
Department of Mathematical Sciences


EMAIL: nepstei2 'at' gmu.edu

I have worked at George Mason since August, 2012. My research concerns commutative algebra.  I have an energetic and wide-ranging research program, with many collaborators representing several distinct projects. My methods include prime characteristic, homological, and non-commutative algebra. My work has connections with algebraic geometry, combinatorics, number theory, and even complex-valued continuous functions.  I received my Ph.D. in Mathematics in 2005 at the University of Kansas, under the direction of Craig Huneke, after which I was an NSF Postdoctoral Researcher at the University of Michigan from 2005-2009, followed by a postdoctoral research position at the University of Osnabrueck from 2009-2012 via the German Research Foundation (DFG). I was awarded tenure and Associate Professor rank at GMU in August, 2018.

researchstudents

Graduate students

Advising

My field of expertise, commutative algebra, is a very broad one. A doctoral student interested in me as an advisor will have many potential options of problems to work on. If you'd like some ideas of what I've done and how I think about it, I recommend you read this topical overview of my research. I find that my students are most successful when they take an active role deciding what problems to work on, how far to take a line of inquiry, what proof methods to use, etc. I see my role as a truly advisory one; the student drives the ship of inquiry. The problems I suggest are not necessarily the ones my students end up solving as the mathematical landscape becomes clearer.

Graduated Ph.D. students

Graduated M.S. students

Current Ph.D. student(s)



Last updated September, 2023.