K​ürşat Sözer

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 Universit​é de Lille and another year at EPFL as an OCHoTop postdoc.


My broad research interests include quantum topology, higher category theory, and low dimensional topology.

I am particularly interested in topological field theories, homotopy field theories, cobordism hypothesis, and quantum invariants of low dimensional manifolds. 

Recently, I am interested in 2-types and related algebraic structures, mainly crossed modules. 

Papers and Preprints

  • K. Sözer, A. Virelizier, Hopf crossed module (co)algebras, arXiv:2305.15485.
  • K. Sözer, A. Virelizier, Monoidal categories graded by crossed modules and 3-dimensional HQFTs, arXiv:2207.06534. To appear in Advences in Mathematics
  • K. Sözer, Two-dimensional extended homotopy field theories, arXiv:1909.04187. To appear in Algebraic & Geometric Topology.


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 previous teaching experiences.

Seminar organization

I am the organizer of McMaster Geometry and Topology seminar during Fall 2023 semester. 

Contact Info  

Department of Mathematics and Statistics McMaster University  
Office: HH303A  
Email: sozerk at mcmaster dot ca