I'm an assistant professor in combinatorics. I suppose I am an algebraic combinatorial generalist, but for the most part, I work in the combinatorics of the dimer model. I'm particularly interested in ``domino shuffling'' and related dynamics on domino tilings. I also study certain applications of this area to algebraic geometry (Donaldson-Thomas theory and related areas). Finally I'm starting to do random-matrix-theory-style asymptotics for these models.
I like 2D pictures, 3D models, experimental mathematics, good exposition, computer-assisted proofs, and open-source software, and I try to use these things whenever it's helpful.
Evaluating an infinite product of q-exponentials I'm not seeing how to write the generating function for plane partitions in terms of the q-exponential. Can you explain, or provide a reference please? Or is it really easy and I'm just being stupid? I guess I'm mainly asking out of personal interest, but it might be helpful.