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Department of Pure Mathematics and Mathematical Statistics

 

Professor of Mathematics

Research Interests: Low dimensional topology, especially knot invariants and their application to the study of three and four-dimensional manifolds.

 

Publications

Heegaard Floer homology for manifolds with torus boundary: properties and examples
J Hanselman, J Rasmussen, L Watson
– Proceedings of the London Mathematical Society
(2022)
125,
879
L-spaces, taut foliations, and graph manifolds
J Hanselman, J Rasmussen, SD Rasmussen, L Watson
– Compositio Mathematica
(2020)
156,
604
Heegaard Floer homology for manifolds with torus boundary: properties and examples
J Hanselman, J Rasmussen, L Watson
(2018)
The Hilbert scheme of a plane curve singularity and the HOMFLY homology of its link
A Oblomkov, J Rasmussen, V Shende
– Geometry & Topology
(2018)
22,
645
Floer Simple Manifolds and L-Space Intervals
J Rasmussen, SD Rasmussen
– Advances in Mathematics
(2017)
322,
738
Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology
E Gorsky, A Neguţ, J Rasmussen
(2016)
Bordered Floer homology for manifolds with torus boundary via immersed curves
J Hanselman, J Rasmussen, L Watson
(2016)
Some differentials on Khovanov–Rozansky homology
J Rasmussen
– Geometry & Topology
(2015)
19,
3031
Torus knots and the rational DAHA
E Gorsky, A Oblomkov, J Rasmussen, V Shende
– Duke Mathematical Journal
(2014)
163,
2709
Odd Khovanov homology
PS Ozsvath, J Rasmussen, Z Szabo
– Algebraic & Geometric Topology
(2013)
13,
1465
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Room

E2.02

Telephone

01223 764287