Jonathan Gruber
I am a postdoc at the University of York, working with
Chris Bowman and
Stephen Donkin, and funded by a postdoc mobility grant from the Swiss National Science Foundation. Previously, I was a research fellow at the National University of Singapore, in the working group of
Prof. Huanchen Bao.
I completed my PhD at the École Polytechnique Fédérale de Lausanne in 2022; my PhD advisor was
Prof. Donna Testerman.
email: jonathan.gruber at york.ac.uk
Here is a
picture of me.
Research
My reseach interest is broadly in representation theory, and more specifically in the following topics:
- representations of reductive algebraic groups and related topics;
- tilting objects in highest weight categories;
- homological methods in representation theory;
- tensor categories, tensor ideals;
- (diagrammatic) categorification;
- Coxeter groups, Hecke algebras, Soergel bimodules.
Articles and preprints:
preprint Generic direct summands of tensor products for simple algebraic groups and quantum groups (2023).
preprint Linkage and translation for tensor products of representations of simple algebraic groups and quantum groups (2023).
preprint Tensor ideals for quantum groups via minimal tilting complexes, to appear in Proc. Amer. Math. Soc. (2022).
articlepreprint Cohomology in singular blocks of parabolic category O, Glasg. Math. J. (2023).
articlepreprint On minimal tilting complexes in highest weight categories, Algebr. Represent. Theory (2022).
articlepreprint Coxeter combinatorics for sum formulas in the representation theory of algebraic groups, Rep. Theory 26 (2022), 68-93.
articlepreprint On complete reducibility of tensor products of simple modules over simple algebraic groups, Trans. Amer. Math. Soc. Ser. B 8 (2021), 249-276.
My PhD thesis is available here:
PhD thesis Generic direct summands of tensor products for simple algebraic groups and quantum groups at roots of unity, (2022).