** 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

– 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

Khovanov-Rozansky homology of two-bridge knots and links

– DUKE MATH J

(2007)

136,

551

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