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:

- Hopf algebra gauge theory and its relation to Kitaev models in condensed matter physics and quantum computation.
- Cartan geometry and its applications, especially in general relativity and related theories.
- Group theory and generalization: Lie groups, quandles, groupoids, supergroups, Hopf algebras (or quantum groups), and 2-groups (or categorical groups).
- Gauge theory in topology, physics, and geometry.
- Experimental high-energy particle physics.
- Research in industry on gamma spectroscopy methods, and on radiation effects on electronics.
- Research with students: My students have worked on music theory, random walks on groups, geometry, lattice gauge theory, quandles, Cartan geometry and spin networks.

Dept of Mathematics and Computer Science

Concordia University Saint Paul

1282 Concordia Avenue

Saint Paul, Minnesota 55104

USA

w s @ s . d i e c p e u

My profiles on: google+, inspire, arXiv, google scholar, mathematics genealogy project, researchgate, LinkedIn.

Concordia University Saint Paul

1282 Concordia Avenue

Saint Paul, Minnesota 55104

USA

w s @ s . d i e c p e u

My profiles on: google+, inspire, arXiv, google scholar, mathematics genealogy project, researchgate, LinkedIn.