
Jake Rasmussen
Professor · Low-Dimensional Topology
University of Illinois Urbana-ChampaignAbout
Jake Rasmussen is a Professor in the Department of Mathematics at the University of Illinois Urbana-Champaign, affiliated with the College of Liberal Arts & Sciences. His research focuses on low-dimensional topology, particularly Heegaard Floer homology, Khovanov homology, categorification, and their applications to knots, 3-manifolds, and 4-manifolds. He serves as managing editor for Quantum Topology and an editor for the Journal of Topology.
His work bridges algebraic, geometric, and categorical approaches to topological problems, as evidenced by recent publications on Floer homology for torus-boundary manifolds and Khovanov-Rozansky homology. His contributions span both foundational theory and computational techniques in knot theory and manifold topology.
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