About

• Hi, I have joined Dartmouth College as an Assistant Professor (tenure-track), since 2025, Summer.
• I graduated from Michigan State University in 2021. I have had postdocal positions at the Max Planck Institute for Mathematics, Bonn (2021-22), MSRI/SLMath, Berkeley (2022), Rutgers University - New Brunswick (2023-25).
• Here is an article in the Quanta Magazine on a paper that I co-authored.
• Here is my CV.
• In summer 2023, I supervised a DIMACS REU (with Hendricks). Here is an article that my students Jay Patwardhan (now a graduate stuedent in U of Georgia), Zheheng Xiao (now a graduate student at Princeton) wrote.
• I will be in a AIM-SQuaRE with Irving Dai, Maggie Miller and Matt Stoffregen from 2025.

Contact

Email: abhishek.mallick@dartmouth.edu

Research

1. Corks, involutions and Heegaard Floer homology (with Irving Dai and Matthew Hedden), Journal of the European Mathematical Society, 25(6) (2023), 2319-2389.
2. Equivariant knots and knot Floer homology (with Irving Dai and Matthew Stoffregen) Journal of Topology, 16(3) (2023), 1167-1236.
3. Knot Floer homology and surgery on equivariant knots to appear in the Journal of Topology.
4. The (2,1)-cable of the figure-eight knot is not smoothly slice (with Irving Dai, Sungkyung Kang, JungHwan Park, and Matthew Stoffregen) to appear in the Inventiones Mathematicae.
5. Rank-expanding satellites, Whitehead doubles, and Heegaard Floer homology (with Irving Dai, Matthew Hedden, and Matthew Stoffregen) to appear in the Journal of Topology.
6. From diffeomorphisms to exotic phenomena in small 4-manifolds (with Hokuto Konno, and Masaki Taniguchi).
7. Exotic Dehn twists on 4-manifolds (with Hokuto Konno, and Masaki Taniguchi).
8. Involutions and the Chern-Simons filtration in instanton Floer homology (with Antonio Alfieri, Irving Dai, and Masaki Taniguchi).
9. Gompf's cork and Heegaard Floer homology (with Irving Dai, and Ian Zemke), International Mathematics Research Notices, 2024, 18, 12663-12682.
10. On localizing groups of exotic diffeomorphisms of 4-manifolds (with Hokuto Konno).
11. A note on cables and the involutive concordance invariants (with Kristen Hendricks) to appear in the Bulletin of the London Mathematical Society..
12. Exotically knotted closed surfaces from Donaldson's diagonalization for families (with Hokuto Konno, and Masaki Taniguchi).
13. The link surgery formula and equivariant surgeries (with Kristen Hendricks, Matthew Stoffregen and Ian Zemke).