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
– Proc Lond Math Soc
(2022)
125,
879
(doi: 10.1112/plms.12473)
L-spaces, taut foliations, and graph manifolds
– Compositio Mathematica
(2020)
156,
604
(doi: 10.1112/s0010437x19007814)
Heegaard Floer homology for manifolds with torus boundary: properties
and examples
(2018)
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)
Floer simple manifolds and L-space intervals
– Advances in Mathematics
(2017)
322,
738
(doi: 10.1016/j.aim.2017.10.014)
Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology
(2016)
Bordered Floer homology for manifolds with torus boundary via immersed curves
(2016)
Some differentials on Khovanov–Rozansky homology
– Geometry & Topology
(2015)
19,
3031
(doi: 10.2140/gt.2015.19.3031)
Torus knots and the rational DAHA
– Duke Mathematical Journal
(2014)
163,
2709
(doi: 10.1215/00127094-2827126)
Odd Khovanov homology
– Algebraic & Geometric Topology
(2013)
13,
1465
(doi: 10.2140/agt.2013.13.1465)
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