JIANG, Qingyuan

JIANG, Qingyuan is an Assistant Professor in the Department of Mathematics at The Hong Kong University of Science and Technology. His research interests include Algebraic Geometry, Derived Algebraic Geometry, Derived Categories, Chow Theory, Quot Schemes, Donaldson-Thomas theory, and Geometric Representation Theory. He teaches MATH5261 Algebraic Geometry II. His publications include works on Lascoux-type resolutions, derived categories, and flips, as well as contributions to Chow theory of Quot schemes and Brill-Noether theory of Hilbert schemes of points on surfaces.

Qingyuan Jiang is a researcher in Algebraic Geometry, focusing on derived categories and their applications in birational geometry. Their work explores the interplay between derived categories of projectivizations, Quot schemes, and Grassmannians, with an emphasis on categorical duality and homological projective duality. Jiang's research also includes Brill–Noether theory of Hilbert schemes of points on surfaces, derived projectivizations of complexes, and categorical Plücker formulas. Their publications highlight connections between derived categories, geometric invariant theory, and homological methods in algebraic geometry, contributing to the understanding of birational transformations and moduli spaces.