Shaoyun Bai
Photo by Fanying Chen
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I am the D. Reid Weedon, Jr. '41 Career Development Assistant Professor at MIT. Here is my CV.
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, dynamics, and, more recently, arithmetics.
Email: shaoyunb [at] mit [dot] edu
Seminar: MIT Symplectic Seminar.
Previous activities at MIT: 18.937: Topics in Geometric Topology (Fall 2024), KKPY Reading Seminar.
Papers
- Integral Hamiltonian Floer theory: Foundations (with Guangbo Xu), arXiv:2606.15847.
- The p-curvature of quantum connections for Calabi-Yau threefolds (with Jae Hee Lee), arXiv:2601.01654.
- Quantum Adams operations in quasimap K-theory (with Jae Hee Lee), arXiv:2510.09335.
- P-adic Gamma classes and overconvergent Frobenius structures for quantum connections (with Daniel Pomerleano and Paul Seidel), arXiv:2509.26295.
- 3D mirror symmetry in positive characteristic (with Jae Hee Lee), arXiv:2503.23590, Selecta Math. (N.S.). (2026).
- Bordism and resolution of singularities (with Mohammed Abouzaid), arXiv:2412.04451.
- Cohomological splitting over rationally connected bases (with Daniel Pomerleano and Guangbo Xu), arXiv:2406.00931, pending acceptance at J. Algebraic Geom. (2025).
- Equivariant formality in complex-oriented theories (with Daniel Pomerleano), arXiv:2405.05821.
- 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. 173 (2024), no. 15, 2947--3057. Published Version.
- 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, Geom. Topol. (2025).
Organization and Service
Guangbo Xu and I organized Rutgers Symplectic Summer School 2024 and 2025. RSSS 2026 will take place from August 17 to August 21.
I served as a mentor for the 2024 Kylerec workshop.
I co-organized Columbia Symplectic Geometry and Gauge Theory Seminar.
I co-organized a learning seminar on Enumerative invariants and birational transformations with Patrick Lei.