Shaoyun Bai

Shaoyun Bai is an Assistant Professor of Mathematics at the Massachusetts Institute of Technology, Department of Mathematics. He joined MIT in July 2024 after serving as a Ritt Assistant Professor at Columbia University during the 2023-2024 academic year. Bai completed his undergraduate studies at Tsinghua University in 2017 and earned his PhD in Mathematics from Princeton University in 2022, supervised by John Pardon. His research focuses on symplectic topology and its interactions with algebraic geometry, algebraic topology, geometric topology, and dynamics. He has developed new toolkits for counting problems from moduli spaces, applied to classical questions such as the Arnold conjecture and periodic points of Hamiltonian maps.

Shaoyun Bai is an Assistant Professor of Mathematics at MIT, specializing in symplectic topology. Their research focuses on the intersection of symplectic geometry, algebraic geometry, and topology, with an emphasis on invariants and structures arising from Gromov-Witten theory, Fukaya categories, and quantum connections. Bai's work explores topics such as the Arnold conjecture, equivariant transversality, and the Rouquier dimension of wrapped Fukaya categories. They also investigate connections between symplectic topology and algebraic geometry, including Calabi-Yau threefolds and toric manifolds. Their research contributes to understanding the interplay between geometric and algebraic structures in symplectic settings.