GEOMETRY AND ITS INTERFACES
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)
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 Read More …
With a project titled “Big Algebras in Classical Types” Shon received a 2 year PhD DOC-fellowship starting October 2025. The highly competetive DOC Fellowship Programme of the Austrian Academy of Sciences offers funding for highly qualified doctoral candidates in all areas of research. This is the fourth DOC fellowship in the Hausel group in the last four years. It Read More …
The project ViaFiPos has been funded by a €2.5M ERC advanced grant. It will run 2026-2031. The Advanced Grant competition is one of the most prestigious and competitive funding schemes in the EU. The overall success rate was 11% while in the PE1 mathematics panel it was 10.5%. This follows the ERC advanced grant AriPhyHiMo between Read More …
New arxiv paper by PhD student Miguel González: “Very stable regular G-Higgs bundles“. This follows three other arxiv papers by PhD students.
Three papers by Hausel group PhD students appeared in the arxiv. They relate to various aspects of big algebras:
The public talk “Anatomy of big algebras” was delivered as the 2024 “What is Life?” annual lecture — formerly Schrödinger lecture — in the historic physics lecture theater at Trinity College Dublin organized jointly by the School of Mathematics and the Austrian embassy in Dublin. Abstract: Starting with Schrödinger’s critique of the difficulty of visualising Read More …
Anna Sisák defended her thesis: “T-dual branes on hyperkähler manifolds“, while Kamil Rychlewicz defended his: “Equivariant cohomology and ring of functions“. Congratulations to both!
Commutative avatars of representations of semisimple Lie groupsby Tamás Hausel and Daniel BedatsWolfram Community, STAFF PICKS, October 2, 2024https://community.wolfram.com/groups/-/m/t/3290514
Hausel T. 2024. Commutative avatars of representations of semisimple Lie groups. Proceedings of the National Academy of Sciences of the USA (PNAS). DOI: 10.1073/pnas.2319341121, arXiv:2311.02711 Press release PNAS showcase Staff pick at Wolfram community big and medium skeletons over baryon octet — connecting particles under up-down quark symmetry, like the neutron and proton