BIREP – Representations of finite dimensional algebras at Bielefeld
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Dr. Andrew Hubery

Wissenschaftlicher Assistent

Faculty of Mathematics
Bielefeld University
PO Box 100 131
D-33501 Bielefeld

Office: V5-218
Phone: +49 521 106 5019
Email: hubery


General Information

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.


Teaching

WS 2016/17

Non-commutative Algebra 1

SS 2017

Non-commutative Algebra 2

WS 2017/18

Non-commutative Algebra 3


Research

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


Various notes and presentations

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.