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 condor.depaul.edu/acarro15/ICRTCA.html.
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.