Zijun Li

About me

Hello! I am Zijun Li, a fifth-year math Ph.D. student at Duke University, supervised by Professor Lenhard Ng. I obtained my B.S. degree at Peking University in 2021, under the supervision of Professor Bo Dai. Here is my CV.

My research lies in symplectic and contact topology. More specifically, I study Floer-theoretic invariants of Legendrian links and relate them to the construction and classification of Lagrangian fillings. I construct and compute holomorphic curve invariants for cobordisms between Legendrian links, and I use these invariants to distinguish Lagrangian fillings.

I am currently on the postdoc job market. Please feel free to reach out.

Research Interests

Symplectic geometry, contact geometry, low-dimensional topology, and cluster algebras.

Publications and Preprints

• Z. Li, Immersed exact Lagrangian fillings and augmentations to arbitrary fields, in preparation.

Teaching Experience

• Teaching Assistant, MATH 112L Laboratory Calculus II (Summer 2025)
• Teaching Assistant, MATH 112L Laboratory Calculus II (Spring 2025)
• Discussion Leader, MATH 218D-2 Matrices and Vectors (Fall 2024)
• Grading Manager, MATH 111L Laboratory Calculus (Spring 2024)
• Discussion Leader, MATH 202D Multivariable Calculus for Economics (Fall 2023)
• Discussion Leader, MATH 218D-1 Matrices and Vector Spaces (Fall 2022)
• Teaching Assistant, MATH 111L Laboratory Calculus I (Fall 2021)

Mentoring

• Project Manager, Duke Math+ (Summer 2024)
  Project: The combinatorics of Legendrian surfaces
  Project leader: James Hughes
  Team members: Holly Keegan, Helen Pertsemlidis, June Wood

Invited Talks

• NC State Geometry and Topology Seminar (November 2025)
  Title: Legendrian links and their immersed fillings
• Rutgers Symplectic Summer School (August 2025)
  Title: Immersed exact Lagrangian fillings and augmentations to arbitrary fields

Conferences and Workshops

• CBMS Summer School 2025: Legendrian Links and the Microlocal Theory of Sheaves (June 2025)
• Braids Reunion Workshop (July 2024)
• Oberwolfach Arbeitsgemeinschaft: Cluster Algebras, online (October 2023)
• Tech Topology Summer School (July 2023)
• Instantons and Foams (May 2023)
• Singularities in Low Dimensional Topology (January 2023)
• Frontiers in Geometry and Topology Summer School (August 2022)
• Georgia Topology Conference (May 2022)