Hausel Group — GEOMETRY AND ITS INTERFACES

Group News

24 March 2026

Three papers recently published by PhD students

Shon Ngo, Big Algebra in Type A for the Coordinate Ring of the Matrix Space, SIGMA 22 (2026) Mischa Elkner, On Involutions of Minuscule Kirillov Algebras Induced by Real Structures, Transformation Groups (2026) Miguel Gonzalez, Oscar Garcia-Prada: Cyclic Higgs Bundles and the Toledo Invariant, Transformation Groups (2026)

15 September 2025

Olga Trapeznikova receives ESPRIT FWF grant

With a project titled “Enumerative geometry of character varieties” Olga was awarded an FWF ESPRIT grant 2025-2028. Congrats to Olga! Here is the abstract: “This project explores a class of geometric spaces known as character varieties, which capture how the shape—or topology—of a surface is governed by its symmetries. These symmetries are encoded by mathematical

08/2025 Shon Ngo awarded ÖAW DOC fellowship
06/2025 ERC advanced grant 2026-2031
03/2025 New arxiv paper by PhD student
01/2025 Three new papers by group members
11/2024 “What is Life?” annual lecture
11/2024 Two PhD students graduate
10/2024 Staff Pick at Wolfram Community
09/2024 Paper on big algebras appeared
08/2024 Jakub Löwit awarded ÖAW DOC-fellowship
07/2024 Videos and slides from minicourse at Simons Institute in Geometry and Physics
02/2024 Anatomy of big algebras: Zoo of big skeletons, crystals and nerves
12/2023 Proceedings of ICM 2022 appeared

older news →

Recent Publications & Preprints

Hausel, T. Center of Kostant algebra.
(to appear in “Géométrie Algébrique et Programme de Langlands — un volume en l’honneur de Gérard Laumon”)
PDF arXiv:2509.20159
Hausel, T. Commutative avatars of representations of semisimple Lie groups.
Proc Natl Acad Sci USA 121 (38), 2024
PDF arXiv:2311.02711 DOI
Gonzalez M., Hausel, T. Hitchin map on even very stable upward flows.
Internat. J. Math., 35(9):Paper No. 12591, 2024
PDF arXiv:2303.01404

all 51 publications →