Shaoyun Bai

Photo by Fanying Chen

I am a Ritt Assistant Professor at Columbia University.

I will join MIT as an Assistant Professor in Fall 2024.

My research focuses on symplectic topology, though my research projects are related to or inspired by nearby fields, including low-dimensional topology, algebraic geometry, algebraic topology, and dynamics. Here is my CV.

I received my Ph.D. from Princeton University in Spring 2022 under the supervision of John Pardon. After that, I was a postdoctoral member of the MSRI (now known as SLMath) program "Floer Homotopy Theory" in Fall 2022, mentored by Mohammed Abouzaid. There is a short biography of me on Page 15 of MSRI's Emissary Newsletter.

Email: sb4841 [at] columbia [dot] edu

Papers

• Franks' dichotomy for toric manifolds, Hofer-Zehnder conjecture, and gauged linear sigma model (With Guangbo Xu), arXiv:2309.07991.
• Arnold conjecture over integers (With Guangbo Xu), arXiv:2209.08599.
• An integral Euler cycle in normally complex orbifolds and Z-valued Gromov-Witten type invariants (With Guangbo Xu), arXiv:2201.02688.
• On the Rouquier dimension of wrapped Fukaya categories and a conjecture of Orlov (With Laurent Côté), Compos. Math. 159 (2023), no. 3, 437--487. Published Version.
• Bifurcations of embedded curves and towards an extension of Taubes' Gromov invariant to Calabi-Yau 3-folds (With Mohan Swaminathan), Duke Math. J. (to appear).
• A symplectic formula for generalized Casson invariants, arXiv:2102.03665.
• Equivariant Cerf theory and perturbative SU(n) Casson invariants (With Boyu Zhang), arXiv:2009.01118.

Organization and Service

Guangbo Xu and I are organizing Rutgers Symplectic Summer School 2024.

I am co-organizing Columbia Symplectic Geometry and Gauge Theory Seminar.

I am also co-organizing a learning seminar on Enumerative invariants and birational transformations with Patrick Lei.

I am maintaining the AIM problem list on Floer theory of symmetric products and Hilbert schemes.