I'm a mathematical physicist. In the past, I've worked on applications of algebra and geometry in mathematical physics, especially classical and quantum general relativity, topological quantum field theory, and related models. I recently shifted focus: I'm now working mainly on artificial intelligence and quantum computation. I'm finding this an exciting shift, not only because I'm learning more mathematics and computational techniques, but also because I see a lot of potential for crossover with my previous work.
I'm currently on faculty at Concordia University St. Paul. Previously, I was an NSF VIGRE Postdoc at U.C. Davis (2007-2010), then a postdoc at the University of Erlangen, where I held positions in both the Department of Mathematics and the Institute for Quantum Gravity.
My current research focus is on mathematical areas of computation. But I've done a wide variety of work in the mathematical sciences. Some of the topics I've worked on include: