Weiqiang Wang

Weiqiang Wang is the Gordon Whyburn Professor of Mathematics at the University of Virginia, focusing on Representation Theory, Quantum Groups, and related fields. His work intersects Algebra, Algebraic Combinatorics, and Algebraic Geometry, with a particular interest in ıquantum groups, Hecke algebras, and categorification.

• Editorial Roles: International Mathematics Research Notices (IMRN), Letters in Math. Physics (LMP), Science China Mathematics, and others.
• Teaching: Fall 2024 course Math8852, Representation Theory (of symmetric groups), with office hours Wed 10 AM - 12 PM.
• Notable Contributions: Recent publications connect Hall algebras, ıquantum groups, and PBW bases.

His research interests span diverse areas including:

• Quantum groups and canonical bases
• Hecke algebras (finite, affine) and spin symmetric groups
• Connections to Kazhdan-Lusztig theory and Hilbert schemes of points

Key themes in his work include Schur duality, Howe duality, and the McKay correspondence, reflecting a deep integration of algebraic structures and geometric methods.

He has been involved in organizing academic events and delivered a talk at the International Congress of Mathematicians (ICM 2022), with the video available on YouTube.