Daren Chen

Address: 200 Linde Hall, 1200 East California Blvd,

              Pasadena, CA 91125

Email: darenc@caltech.edu

I am a postdoctoral scholar in mathematics at Caltech. My postdoc mentors are Yi Ni and Sergei Gukov. I am interested in low-dimensional topology, in particular Khovanov homology and knot Floer homology of links in \(S^3\), sometimes in other 3-manifolds. Before that, I obtained my PhD at Stanford University. My PhD advisor is Ciprian Manolescu.

Curriculum Vitae

Research

1. Applications of the L-space satellite formula

   (with I. Zemke and H. Zhou) preprint | arXiv:2509.20288

2. The flip map and involutions on Khovanov homology

   (with H. Yang) preprint | arXiv:2506.00824

3. L-space satellite operators and knot Floer homology

   (with I. Zemke and H. Zhou) preprint | arXiv:2412.05755, with code in Python

4. A note on rational band moves

   (with J. Hom, M. H. Kim, J, Park and Z. Wu), La Matematica, Vol.3 (2024), 777-782 | arXiv:2311.11507

5. Bar-Natan Homology for null homologous links in \(\mathbb{RP}^3\)

   accepted to Pacific Journal of Mathematics | arXiv:2307.11461

6. Adiabatic compactness for holomorphic curves with boundary on nearby Lagrangians

   (with D. Cant) accepted to Kyoto J. Math | arXiv:2302.13391

7. Floer lasagna modules from link Floer homology

   preprint | arXiv:2203.07650

8. Twistings and the Alexander polynomial

   preprint | arXiv:2202.12489

9. Generalised homomorphisms, measuring coalgebras and extended symmetries

   (with M. Batchelor, W. Boulton, J.Rawlinson, M.Warsi) preprint | arXiv:2105.02527

10. Khovanov-type homologies of null homologous links in \(\mathbb{RP}^3\)

    Quantum Topology, under revision | arXiv:2104.04779

Talks

Teaching