Wissenschaftlicher Assistent
Faculty of Mathematics
Bielefeld University
PO Box 100 131
D-33501 Bielefeld
Office: V5-218
Phone: +49 521 106 5019
Email: hubery
I am currently a member of the BIREP Representation Theory group at Bielefeld University. My position is supported by the Alexander von Humbolt Stiftung/Foundation in the framework of an Alexander von Humbolt Professorship endowed by the Federal Ministry of Education and Research.
Previously I was supported by the Collaborative Research Center CRC701 Spectral Structures and Topological Methods in Mathematics.
Before that I was a lecturer in the School of Mathematics at the University of Leeds.
SS 2024 |
Elementare Zahlentheorie |
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WS 2018/19 |
Commutative algebra and algebraic geometry |
Course Notes |
SS 2018 |
Representations of tame hereditary algebras |
Course Notes |
My research centres around the representation theory of finite-dimensional algebras, together with their connections to various other fields such as algebraic geometry, Lie theory and quantum groups, and combinatorics and cluster algebras.
I have also supervised two Ph.D. students
Stefan Wolf, Thesis
The Hall algebra and the composition monoid
Julia Sauter, Thesis Springer theory and the geometry of quiver flag varieties
Ringel-Hall algebras These are unfinished notes from a graduate course on Ringel-Hall algebras. We start with hereditary algebras, cover the basic theory of Ringel-Hall algebras and Green's Formula, prove necessary results about generalised Kac-Moody Lie algebras and their quantised enveloping algebras, and finally prove Kac's Theorem on the dimension vectors of indecomposable modules using character formulae.