Wenyuan Li


Research Notes Teaching

I'm a fourth year graduate student of the mathematics department at Northwestern University. I got my Bachelor's degree at Peking University in China. Here is my CV.

Email: wenyuanli2023 at u.northwestern.edu

Office: Lunt Hall B11, Northwestern University.


My research interest is symplectic/contact topology. It originates from the study of 'phase spaces' in classical mechanics, where one considers the space encoding both the location and the momentum of the particles, though nowadays people studying this subject have gone much further. The word 'symplectic' is borrowed from ancient Greek which means 'complex' (I learned this from Professor Ivan Smith's ICM talk).

More specifically, my research interest is in symplectic/contact invariants coming from microlocal sheaf theory, especially invariants of Legendrian and Lagrangian submanifolds (with relations to invariants coming from pseudo-holomorphic curves or generating families), and the connections with cluster theory, mirror symmetry and persistence modules.

I am also interested in the flexibility side of symplectic/contact topology involving h-principles.

I am a student of Professor Emmy Murphy and Professor Eric Zaslow.

Papers and Preprints

  • Duality and spherical adjunction for microlocal sheaves, joint with Christopher Kuo, in progress.
  • Conjugate surface and weave fillings, joint with Roger Casals, in progress.




Teaching Assistant

  • MATH 220-1, Single Variable Differential Calculus, Fall 2019
  • MATH 230-1, Multi Variable Differential Calculus, Winter 2020
  • MATH 230-1, Multi Variable Differential Calculus, Spring 2020
  • MATH 290-1, MENU Linear Algebra and Multi Variable Calculus I, Fall 2020
  • MATH 330-1, Abstract Algebra I, Fall 2020
  • MATH 290-2, MENU Linear Algebra and Multi Variable Calculus II, Winter 2021
  • MATH 330-2, Abstract Algebra II, Winter 2021
  • MATH 290-3, MENU Linear Algebra and Multi Variable Calculus III, Spring 2021
  • MATH 330-3, Abstract Algebra III, Spring 2021

I'm also helping Prof. Elton Hsu and Dr. Miguel Lerma with the Northwestern Putnam training sessions.

External links