Andrew Thomas Carroll

Assistant Professor

Department of Mathematics

DePaul University, Chicago

Welcome to my webpage

I am a first-year tenure-track assistant professor at DePaul University. My research interests involve geometric and combinatorial questions in the representation theory of (associative) algebras. Among the projects that I've been working on, I have focused on combinatorial relationships between basis of weight spaces of semi-invariants via Young tableaux and Scofield semi-invariants; generalizations of my previous work in trying to construct generic modules for string algebras; and representation-theoretic interpretation of cluster algebra structures on certain rings of semi-invariants. My full CV and research statement are at the other end of the preceeding links.

International Conference on Representation Theory and Commutative Algebra

I am helping to organize a conference at the University of Connecticut at the end of April. All pertinent information can be found on the conference webpage


My primary research interests include representation and invariant theory (perhaps more succinctly quiver invariant theory), with the hope of applying Auslander-Reiten theory in these contexts.