Office: C 411 (main building)
Leibniz University Hannover
Faculty of Mathematics and Physics
Institute of Algebra, Number Theory
and Discrete Mathematics
Welfengarten 1
30167 Hannover
Germany
Phone:
+49 (0)511 762 32 09
E-Mail:
boehmler [at] math [dot] uni-hannover [dot] de
Office hours:
by appointment via e-mail
About me
Hello!
My name is Bernhard Böhmler and I am a postdoctoral researcher in the working group of Michael Cuntz at the Leibniz University Hannover.
Before that, I was a doctoral student at the RPTU Kaiserslautern-Landau under the supervision of Caroline Lassueur.
The main focus of my dissertation - which is located in the area of modular representation theory of finite groups - lies on trivial source modules. They are also known as $p$-permutation modules and arise naturally in this context. They are the building blocks for p-permutation equivalences, Puig equivalences and splendid derived equivalences.
In order to do calculations with trivial source modules the ordinary characters of their lifts from positive characteristic $p$ to characteristic $0$ are of particular interest. The “trivial source character tables” or “species tables of the trivial source ring” collect information about the character values of trivial source $kG$ - modules with all possible vertices, as well as those of their Brauer constructions.
In my doctoral thesis, I examine trivial source modules and their character tables both theoretically and using computer algebra. My poster gives a small overview of trivial source character tables and an example.
I gratefully acknowledge financial support by DFG SFB-TRR 195: ‘Symbolic Tools in Mathematics and their Application’ and by the German Academic Exchange Service (DAAD).
Outside of my research I am an enthusiastic amateur musician and I like to play chess.
Research interests
- Group theory
- Modular and ordinary representation theory of finite groups
- Representation theory of finite-dimensional algebras
- Auslander-Reiten theory
- Homological algebra
Publications
In ProgressPublished
- On the extension-closed property for the subcategory Tr($\Omega$2(mod$-A$)) (with René Marczinzik)
- Trivial source character tables of SL2$(q)$ (with Caroline Lassueur and Niamh Farrell)
- A cluster tilting module for a representation-infinite block of a group algebra (with René Marczinzik)
- On a conjecture about Morita algebras (with René Marczinzik)
Teaching
Summer semester 2022- B.Sc. lecture: Character Theory of Finite Groups (assistant)
- B.Sc. lecture: Higher Mathematics 4 for Engineers (assistant)
- No teaching due to a research stay at the University of California, Santa Cruz
- M.Sc. lecture: Cohomology of Groups (assistant)
- B.Sc. lecture: Higher Mathematics 4 for Engineers (assistant)
- M.Sc. lecture: Representation Theory of Finite Groups (assistant)
- B.Sc. lecture: Character Theory of Finite Groups (assistant)
- B.Sc. lecture: Higher Mathematics 3 for Engineers (tutor)
- B.Sc. lecture: Higher Mathematics 3 for Electrical Engineering Technicians (tutor)
- B.Sc. lecture: Higher Mathematics 3 for Engineers (tutor)
- B.Sc. lecture: Higher Mathematics 2 for Engineers (tutor)
- B.Sc. lecture: Higher Mathematics 3 for Engineers (tutor)
- B.Sc. lecture: Algebra for Mathematicians (tutor)
- B.Sc. lecture: Higher Mathematics 1 for Engineers (tutor)
- B.Sc. lecture: Geometry for Mathematicians (tutor)
- B.Sc. lecture: Higher Mathematics 1 for Engineers (tutor)