Feb 7, 2018
what's your research on?
Generally speaking, number theory.
My PhD research was on the Equivariant Tamagawa Number Conjecture, which predicts special values of L-functions. There’s a bunch of motivic stuff and K-theory in the background, although I was mostly dealing with ring- and module-theoretic calculations.
These days I’m starting up a project on numerical monoids, which are a really easy structure for exploring issues of non-unique factorization. Not only do most numbers not have unique factorizations; they mostly have factorizations of different lengths, which doesn’t happen at all in the number field context. At the same time, there are loads of questions that are accessible enough to work on with undergrads.
