I am an Assistant Professor in the Department of Mathematics & Statistics at the University of Saskatchewan. My primary areas of research are:
algebraic and symplectic geometry 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.
Sometimes people ask me how to pronounce my last name, and often I hear it mispronounced. It is pronounced the same as “Ryan” (as if the first “a” were not there). Also, because my last name sounds like a given name, people sometimes confuse it for my first name. My first name is Steven. Now we're all sorted!