Professor of Mathematics
Research Interests: Low dimensional topology, especially knot invariants and their application to the study of three and four-dimensional manifolds.
Publications
On Stable Khovanov Homology of Torus Knots
– Experimental Mathematics
(2012)
22,
265
(doi: 10.1080/10586458.2013.798553)
Sutured Floer homology and hypergraphs
– Mathematical Research Letters
(2012)
19,
1309
(doi: 10.4310/mrl.2012.v19.n6.a11)
The decategorification of sutured Floer homology
– Journal of Topology
(2011)
4,
431
(doi: 10.1112/jtopol/jtr007)
Khovanov homology and the slice genus
– Inventiones Mathematicae
(2010)
182,
419
(doi: 10.1007/s00222-010-0275-6)
Khovanov-Rozansky homology of two-bridge knots and links
– DUKE MATHEMATICAL JOURNAL
(2007)
136,
551
The superpolynomial for knot homologies
– Experimental Mathematics
(2005)
15,
129
Knot polynomials and knot homologies
– Geometry and Topology of Manifolds
(2005)
47,
261
Lens space surgeries and a conjecture of Goda and Teragaito
– Geometry & Topology
(2004)
8,
1013
(doi: 10.2140/gt.2004.8.1013)
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