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Department of Pure Mathematics and Mathematical Statistics

Reader in Pure Mathematics

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

Publications

Floer simple manifolds and L-space intervals
J Rasmussen, SD Rasmussen
– Advances in Mathematics
(2017)
322,
738
Torus knots and the rational DAHA
E Gorsky, A Oblomkov, J Rasmussen, V Shende
– Duke Mathematical Journal
(2014)
163,
2709
On Stable Khovanov Homology of Torus Knots
E Gorsky, A Oblomkov, J Rasmussen
– Experimental Mathematics
(2013)
22,
265
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
Sutured floer homology and hypergraphs
A Juhász, T Kalmán, J Rasmussen
– Mathematical Research Letters
(2012)
19,
1309
The decategorification of sutured Floer homology
S Friedl, A Juhasz, J Rasmussen
– Journal of Topology
(2011)
4,
431
Khovanov homology and the slice genus
J Rasmussen
– Inventiones Mathematicae
(2010)
182,
419
Odd Khovanov homology
PS Ozsvath, J Rasmussen, Z Szabo
– Algebraic & Geometric Topology
(2013)
13,
1465
Lens space surgeries and L-space homology spheres
J Rasmussen
Khovanov-Rozansky homology of two-bridge knots and links
J Rasmussen
– DUKE MATH J
(2007)
136,
551
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Room

E2.02

Telephone

01223 764287