Abhishek Mallick
Research
- Corks, involutions and Heegaard Floer homology (with Irving Dai and Matthew Hedden), to appear in the Journal of the European Mathematical Society.
- Equivariant knots and knot Floer homology (with Irving Dai and Matthew Stoffregen) to appear in the Journal of Topology.
- Knot Floer homology and surgery on equivariant knots.
- The (2,1)-cable of the figure-eight knot is not smoothly slice (with Irving Dai, Sungkyung Kang, JungHwan Park and Matthew Stoffregen).
- Rank-expanding satellites, Whitehead doubles, and Heegaard Floer homology (with Irving Dai, Matthew Hedden, and Matthew Stoffregen).
- From diffeomorphisms to exotic phenomena in small 4-manifolds (with Hokuto Konno, and Masaki Taniguchi).
- Exotic Dehn twists on 4-manifolds (with Hokuto Konno, and Masaki Taniguchi).
- Involutions and the Chern-Simons filtration in instanton Floer homology (with Antonio Alfieri, Irving Dai, and Masaki Taniguchi).
- Gompf's cork and Heegaard Floer homology (with Irving Dai, and Ian Zemke).