Johan Asplund

Department of Mathematics
Stony Brook University
100 Nicolls Road
Stony Brook, NY 11794, USA

I am a James H. Simons Instructor at Stony Brook University. Previously I was a Postdoctoral Research Fellow at Columbia University with Mohammed Abouzaid, funded by Knut and Alice Wallenberg Foundation.

I received my PhD in Mathematics from Uppsala University in 2021 under supervision of Tobias Ekholm.


I am working in the field of symplectic and contact geometry. My work is focused on Floer theory and symplectic field theory. I am also interested in interactions and applications to neighboring fields such as string topology and low-dimensional topology.

Johan Asplund
Photo by Gustav Hammarhjelm 2021.

Current teaching (Spring 2024)

Papers and preprints

  1. Singular Legendrian unknot links and relative Ginzburg algebras
  2. Lagrangian cobordism of positroid links
    with Youngjin Bae, Orosola Capovilla-Searle, Marco Castronovo, Caitlin Leverson, and Angela Wu
  3. Tangle contact homology
  4. Simplicial descent for Chekanov–Eliashberg dg-algebras
    J. Topol., 16(2):489–541, 2023
    [slides] [video]
  5. Chekanov–Eliashberg dg-algebras for singular Legendrians
    with Tobias Ekholm
    J. Symplectic Geom., 20(3):509–559, 2022
    [slides1] [slides2] [video]
  6. Fiber Floer cohomology and conormal stops
    J. Symplectic Geom, 19(4):777–864, 2021
    [slides1] [slides2]
  7. Chekanov–Eliashberg dg-algebras and partially wrapped Floer cohomology
    PhD thesis, 2021
  8. Contact homology of Legendrian knots in five-dimensional circle bundles
    Master's thesis, 2016
  9. Linking and Morse theory
    Bachelor's thesis, 2014
  • Symplectic Geometry, Gauge Theory, and Low-Dimensional Topology Seminar (Spring 2024)
  • Columbia Symplectic geometry and gauge theory seminar (Fall 2022–Fall 2023)
    (previously the Columbia Symplectic geometry, gauge theory and categorification seminar)
  • Microlocal theory of sheaves in symplectic geometry (Fall 2022)