Seminars:

Talks:

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

  2. Academic talk at Renmin University of China: Symplectic semi-characteristic and its formula (Fall 2025).

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

  4. Gone Fishing 2025 at WUSTL: Symplectic semi-characteristics (Spring 2025).

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

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

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

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

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

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

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

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

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

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

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

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

  17. Szegő Seminar at WUSTL: Introduction to Morse theory (Spring 2022).

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