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
L-spaces, taut foliations, and graph manifolds
– Compositio Mathematica
(2020)
156,
604
(DOI: 10.1112/s0010437x19007814)
Floer simple manifolds and L-space intervals
– Advances in Mathematics
(2017)
322,
738
(DOI: 10.1016/j.aim.2017.10.014)
Torus knots and the rational DAHA
– Duke Mathematical Journal
(2014)
163,
2709
(DOI: 10.1215/00127094-2827126)
On Stable Khovanov Homology of Torus Knots
– Experimental Mathematics
(2013)
22,
265
(DOI: 10.1080/10586458.2013.798553)
The Hilbert scheme of a plane curve singularity and the HOMFLY homology of its link
– Geometry & Topology
(2018)
22,
645
(DOI: 10.2140/gt.2018.22.645)
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)
Odd Khovanov homology
– Algebraic & Geometric Topology
(2013)
13,
1465
(DOI: 10.2140/agt.2013.13.1465)
Lens space surgeries and L-space homology spheres
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