Weizhe Shen (沈唯哲)

Portrait of Your Name

I am a Krener Assistant Professor in the Department of Mathematics at UC Davis under the supervision of Melissa Zhang.

I received my Ph.D. in Mathematics from Georgia Tech, where I was grateful to be advised by Jen Hom.

This quarter, I’m co-organizing a Heegaard Floer homology reading group with Melissa.

Email: wzshen [at] ucdavis [dot] edu

Office: MSB 2214

Research

My research interests are in low-dimensional topology, with a focus on knots and links in 3- and 4-manifolds.

Papers and Preprints

4. Applications of immersed curves to the study of (1,1)-satellites. Dissertation, Georgia Institute of Technology, 2025.

3. Persistent Legendrian contact homology in R³, with Maya Basu, Austin Christian, Ethan Clayton, Daniel Irvine, and Fredrick Mooers, submitted. Preprint available at arXiv:2312.09144

2. On χ−slice pretzel links, with Sophia Fanelle, Evan Huang, Ben Huenemann, Jonathan Simone, and Hannah Turner, Topology and its Applications (2025): 109578.

1. A note on knot Floer homology of satellite knots with (1,1)-patterns, Algebraic & Geometric Topology 25 (2025) 3271–3286.

Teaching

•Fall 2025: MAT 21A Calculus: Differential Calculus

Miscellaneous

𓃠.  A postcard I made for NCNGT 2022

𓃠.  Band moves for some 6-, 8-, 9-, and 10-crossing ribbon knots

𓃠.  Computations of the Khovanov homology of the right-handed trefoil and of the Hopf link

𓃠.  A list of Japanese songs on which I may have spent too much time... (updated at random)