I'm an Assistant Professor of Mathematics at Concordia University St. Paul. Previously, I was at the University of Erlangen, where I held postdoctoral positions in both the Department of Mathematics and the Institute for Quantum Gravity. Before that, I was an NSF VIGRE Research Assistant Professor of Mathematics at U.C. Davis (2007-2010) My Ph.D. (2007, UC Riverside) was supervised by John Baez.

My research is in applications of algebra and geometry in mathematical physics. Some of my current interests include:

- Cartan geometry and its applications.
- Group theory and its generalizations—especially quandles, groupoids, supergroups, Hopf algebras (or quantum groups), and 2-groups (or categorical groups).
- Gauge theory, its generalizations, and uses in topology, physics, and geometry.
- Hopf algebra gauge theory and its relation to Kitaev models in condensed matter physics and quantum computation.
- Research with students: My students have worked on music theory, random walks on groups, geometry, lattice gauge theory, quandles, Cartan geometry and spin networks.

I enjoy teaching a wide range of courses. Some of my favorites to teach are vector calculus, differential equations, linear algebra, differential geometry, algebra and topology. But I also really enjoy teaching "Contemporary Mathematics"—a course where I get to introduce students who may never take a further math course to a bunch of areas of mathematics that have a major implications for society: probability, statistics, finance, voting theory, graph theory, and more. See my page on teaching for a record of courses I've taught.

**Contact data:**

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.

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.