Yu Tung (Tony) Yau
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After graduating from the Chinese University of Hong Kong (CUHK) in 2023, I spent nearly two years as a postdoctoral assistant professor at the University of Michigan (UMich), followed by six months as a visiting scholar at CUHK. I then joined the Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU) as a project specialist.
My research focuses on the geometric foundations of various quantization problems. In particular, I aim to develop a mathematical formulation of the category of coisotropic A-branes on symplectic manifolds. This category, proposed by Kapustin and Orlov as an extension of the Fukaya category—which traditionally includes only Lagrangian A-branes—is believed to be essential for the Homological Mirror Symmetry Conjecture to hold in full generality.
In addition, I work on Berezin–Toeplitz quantization, with the goal of extending this framework beyond Kähler polarizations to the more general setting of mixed polarizations.
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