I am a Postdoctoral Fellow at the Department of Mathematics & Statistics in McMaster University. I am part of the Geometry & Topology group and my mentor is Ian Hambleton. In May 2020, I got my PhD at Indiana University Bloomington under the supervision of Vladimir Turaev. Before coming to McMaster, I spent one year at Université de Lille and another year at EPFL as an OCHoTop postdoc.
My broad research interests include low dimensional topology, higher dimensional topology, and quantum algebra.
I am particularly interested in topological field theories, homotopy field theories, homotopy self-equivalences of manifolds, cobordism hypothesis, quantum invariants of low dimensional manifolds, Hopf algebras, fusion and modular categories, and crossed modules.
Recently, I am interested in extensions of fusion categories, group of homotopy self-equivalences of high-dimensional manifolds, Yetter's invariant, and cohomology of crossed modules.
During Fall 2023 semester, I am teaching Math-3T03 Inquiry in Topology. If you are student of the course, see the avenue to learn webpage for the details of the course.
See CV for the complete list of my teaching experiences. Some of them are as follows.
I am the organizer of McMaster Geometry and Topology seminar during Fall 2023 semester. The seminar calendar of McMaster University Department of Mathematics and Statistics can be reached at this link.
Department of Mathematics and Statistics McMaster University
Office: HH303A
Email: sozerk at mcmaster dot ca