I am an Assistant Professor in the Department of Mathematics & Statistics at the University of Saskatchewan. My primary areas of research are:
algebraic geometry and topology of moduli spaces
geometric and topological techniques in mathematical physics
In particular, I am interested in moduli spaces of vector bundles and Higgs bundles on complex varieties, and in using these objects as tools for understanding other geometric structures. Wherever possible, I seek to reduce geometric and topological questions to combinatorial ones. For moduli spaces of Higgs bundles, this can be achieved by viewing Higgs bundles as representations of "quivers".
You can learn more about my research by clicking on the appropriate tab above, or you can go directly to my papers.