Johan Asplund
Department of Mathematics
Stony Brook University
100 Nicolls Road
Stony Brook, NY 11794, USA
firstname.lastname[at]stonybrook.edu
CV
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.
Research
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.
Photo by Gustav Hammarhjelm 2021.
Current teaching (Spring 2024)
- MAT 127 Calculus C
- MAT 322/523 Analysis in Several Dimensions
Papers and preprints
- Singular Legendrian unknot links and relative Ginzburg algebras
Submitted
[slides] - Lagrangian cobordism of positroid links
with Youngjin Bae, Orosola Capovilla-Searle, Marco Castronovo, Caitlin Leverson, and Angela Wu
Submitted
[code] - Tangle contact homology
Submitted - Simplicial descent for Chekanov–Eliashberg dg-algebras
J. Topol., 16(2):489–541, 2023
[slides] [video] - Chekanov–Eliashberg dg-algebras for singular Legendrians
with Tobias Ekholm
J. Symplectic Geom., 20(3):509–559, 2022
[slides1] [slides2] [video] - Fiber Floer cohomology and conormal stops
J. Symplectic Geom, 19(4):777–864, 2021
[slides1] [slides2] - Chekanov–Eliashberg dg-algebras and partially wrapped Floer cohomology
PhD thesis, 2021
[slides] - Contact homology of Legendrian knots in five-dimensional circle bundles
Master's thesis, 2016 - Linking and Morse theory
Bachelor's thesis, 2014
Organization
(previously the Columbia Symplectic geometry, gauge theory and categorification seminar)