Wai-Kit Yeung

I am a Project Researcher in the Kavli Institute for the Physics and Mathematics of the Universe (IPMU). My email is wai-kit.yeung@ipmu.jp.

Research work I have done fall roughly into the following areas: noncommutative algebraic geometry, derived algebraic geometry, birational geometry, knot theory, and symplectic geometry.

Below is a list of my papers:

• Grothendieck duality and Greenlees-May duality on graded rings
• Weight truncation for wall-crossings in birational cobordism
• Homological flips and homological flops
• Pre-Calabi-Yau structures and moduli of representations
• Vanishing theorems for representation homology and the derived cotangent complex (with Yu. Berest and A. Ramadoss) (Algebr. Geom. Topol. 19 (2019), 281-339.)
• Representation homology of topological spaces (with Yu. Berest and A. Ramadoss) (IMRN (2020), https://doi.org/10.1093/imrn/rnaa023)
• Relative Calabi-Yau completions
• Perverse sheaves and knot contact homology (with Yu. Berest and A. Eshmatov) (C. R. Math. Acad. Sci. Paris 355 (2017), 378-399)