Professor

Dr. Alexandre Karassev

Positions

Chair
Faculty of Arts and Science
Full-time Faculty
Faculty of Arts and Science

Education

PhD, Mathematics, University of Saskatchewan
1999-2002
MSc, BSc, Mathematics, Moscow State University
1991-1996

Languages spoken

  • Russian

Teaching Areas

Undergraduate Programs

  • Mathematics
  • Data Science
  • Computer Science

Graduate Studies

  • Mathematics, MSc

Graduate Supervision

Accepting Students for Supervision

Research

Research Interests

General and Geometric Topology (homogeneity, dimension theory, universal spaces), Topological Data Analysis (Homotopy types of Vietoris-Rips and Cech complexes, applications)

Current Research Projects / Labs

Homogeneous spaces, Bing-Borsuk conjecture, hereditarily infinite-dimensional spaces, homotopy types of Cech complexes of spheres, homotopy types of Cech complexes of planar sets, topological analysis of hyperspectral images

Grants & Funding

NSERC Discovery Development Grant, 2026-2028

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