📰 News & Updates
May 2026
Reelected as President of the Hong Kong Mathematical Society (HKMS) for the term 2026–2028.
April 2026
Invited talks at Chicago, Harvard, MIT, Princeton, Stanford, UMich, Yale on recent research progress.
2025
Elected Member of the Hong Kong Academy of Sciences and Fellow of the American Mathematical Society.
🧑🏫 About me
My research lies at the intersection of algebraic groups, representation theory and arithmetic geometry. I am particularly interested in problems related to (finite and affine) Weyl groups, flag varieties, and their applications to the Langlands program and arithmetic geometry.
🔬 Research focus:
- Affine Deligne–Lusztig varieties and Shimura varieties
- Hecke algebras and their cocenters
- Representations of finite and p‑adic groups
- Theory of total positivity
- Theory of canonical basis
📄 Curriculum Vitae 📄 Publication list 📑 Selected Publications
🏆 Awards & Honors
- Chevalley Prize in Lie Theory (AMS, 2022)
- Morningside Gold Medal of Mathematics (2013)
- New Cornerstone Investigator (2023)
- Xplorer Prize (2020)
- Fellow of the American Mathematical Society (2025)
- Member of the Hong Kong Academy of Sciences (2025)
- ICM Sectional Speaker (2018)
- Keynote speaker at Current Developments in Mathematics conference (2015)
- IMO Gold Medal (1996)
👥 Research Group
Postdoctoral Fellows
Jiepeng Fang
Quiver representation, categorification, quantum group, canonical basis
Langlands program, Theta correspondence
Modular representations of finite reductive groups, Kac‑Moody categorification, relative Langlands duality
Cluster varieties, positive integral structures, Lean
Affine Deligne‑Lusztig varieties, affine Weyl groups, quantum Bruhat graphs, machine learning
Quantum groups, quantum symmetric pairs, Poisson geometry, total positivity
PhD Students
Kaitao Xie
Geometry of flag varieties and generalizations, total positivity, theta positivity
Representation theory of Lie groups and Hecke algebras, relative Langlands program
📫 Contact
Office: Run Run Shaw Building, Room 407, The University of Hong Kong, Pokfulam, Hong Kong
Email: xuhuahe@maths.hku.hk