Heather Lee

heatherlee.math@gmail.com

Recent and upcoming talks

Dec. 5, 2024   Caltech/USC algebra & geometry seminar, USC, CA
Nov. 19, 2024   Claremont topology seminar, Claremont Colleges, CA
Jan. 23-28, 2023   Conference on homological mirror symmetry, IMSA Miami



Teaching

Selected past course resources:
Spring 2021   Linear Analysis (UW Math 309)
Spring 2020   Introduction to Differential Equations (UW Math 307)



Research

I completed my Ph.D in mathematics at UC Berkeley, where my thesis advisor was Denis Auroux. Since then I have collaborated with Jayadev Athreya, Catherine Cannizzo, Yu-Wei Fan, and Chiu-Chu Melissa Liu. Below are my papers.

Homological mirror symmetry for theta divisors
Haniya Azam, Catherine Cannizzo, Heather Lee, and Chiu-Chu Melissa Liu
in preparation    short description

Global SYZ mirror symmetry for genus two curves and Voronoi decompositions
Haniya Azam, Catherine Cannizzo, Heather Lee, and Chiu-Chu Melissa Liu
in preparation   
video, slides from conference on HMS at IMSA Miami, Jan. 2023.

Global SYZ mirror symmetry and homological mirror symmetry for principally polarized abelian varieties
Haniya Azam, Catherine Cannizzo, Heather Lee, and Chiu-Chu Melissa Liu
in preparation.

On fiber and base decompositions in the Fukaya category of a symplectic Landau-Ginzburg model
Haniya Azam, Catherine Cannizzo, Heather Lee, and Chiu-Chu Melissa Liu
arXiv: 2312.00973

Fukaya category on a symplectic manifold with a B-field
Haniya Azam, Catherine Cannizzo, Heather Lee, and Chiu-Chu Melissa Liu
arXiv: 2311.04143

Counting special Lagrangian classes and semistable Mukai vectors for K3 surfaces
Jayadev S. Athreya, Yu-Wei Fan, Heather Lee
Geom Dedicata 217, 89 (2023)
arXiv   DOI
video, slides from the MAP seminar, Nov. 2021.

Action-angle and complex coordinates on toric manifolds
Haniya Azam, Catherine Cannizzo, and Heather Lee
Research Directions in Symplectic and Contact Geometry and Topology, Springer, 2021
arXiv   DOI
Comment: the picture to the left is plotted using Equation (93) from the paper; desmos link.

Homological mirror symmetry for open Riemann surfaces from pair-of-pants decompositions
Heather Lee
arXiv
video, slides from Simons Collaboration Workshop on HMS, Jan. 2017.