Seminars:

Talks:

  1. Analysis and Operator Algebra Seminar, East China Normal University: Topology via the Witten deformation (Summer 2026).

  2. Summer School on Noncommutative Geometry, Dalian University of Technology: Serre vanishing theorem in the twisted primitive cohomology (Summer 2026). Slides.

  3. Geometry and Mathematical Physics Workshop, Southern University of Science and Technology: Filtered semi-characteristics of closed symplectic manifolds (Fall 2025).

  4. Frontier Forum of Mathematics, Renmin University of China: Symplectic semi-characteristic and its formula (Fall 2025).

  5. Postdoc Seminar, BICMR: A counting formula of the symplectic semi-characteristic (Fall 2025).

  6. Gone Fishing 2025, WUSTL: Symplectic semi-characteristics (Spring 2025).

  7. NCG Festival, CU Boulder: Kervaire semi-characteristics in KK-theory (Spring 2025).

  8. Szegő Seminar, WUSTL: An introduction to Gromov-Witten invariants (Spring 2025).

  9. Geometry and Topology Seminar, WUSTL: Invariant Thom-Smale-Witten theory (Spring 2025).

  10. JMM 2025, Seattle: Generalized mod 2 index in KK-theory and an Atiyah type vanishing theorem (Winter 2025).

  11. UIUC-WUSTL Joint Symplectic Geometry Seminar, UIUC: Analytic Morse theory under Lie group actions (Fall 2024).

  12. Geometry and Topology Seminar, WUSTL: Proper cocompact Kervaire semi-characteristics in KK-theory (Fall 2024).

  13. Gone Fishing 2024, Northwestern University: Invariant Morse-Bott-Smale cohomology and the Witten deformation (Spring 2024).

  14. Graduate Seminar, Missouri S&T: Witten's insight: An analytic approach to Morse theory (Spring 2024).

  15. Differential Geometry and Symplectic Topology Seminar, UMN Twin Cities: Invariant Morse-Bott-Smale chain complexes, the Witten deformation and the estimates of eigenvalues (Spring 2024).

  16. Noncommutative Geometry Seminar, Texas A&M University: Invariant Morse-Bott-Smale chain complexes, the Witten deformation and Lie groupoid methods (Spring 2024).

  17. Workshop on Noncommutative Geometry and Representation Theory, WUSTL: Invariant Morse-Bott-Smale cohomology and the Witten deformation (Fall 2023).

  18. Geometry and Topology Seminar, WUSTL: Invariant Morse-Bott-Smale chain complex under the circle action (Spring 2023).

  19. Szegő Seminar, WUSTL: Introduction to Morse theory (Spring 2022).

  20. Geometry and Topology Seminar, WUSTL: An analytic proof of the Poincaré-Hopf index theorem (Fall 2021).