Dr. Lukas Bonfert

I'm a postdoc at the Institute for Algebra, Number Theory and Discrete Mathematics (IAZD) of the Leibniz University Hannover, working in the group of Michael Cuntz. Before that I was a PhD student at the Max Planck Institute for Mathematics and the University of Bonn, where my advisor was Catharina Stroppel.

Pronouns: he/his/him

I'm a representation theorist. My primary interests are:

• triangulated categories, t-structures and weight structures (aka co-t-structures)
• geometric representation theory
• Nichols algebras and Weyl groupoids

Most of this is motivated by the representation theory of Lie (super)algebras, finite-dimensional algebras or dg algebras, and related topics such as Koszul duality.

• Serre functor and ℙ-objects for perverse sheaves on ℙⁿ (joint with Alessio Cipriani). Preprint, submitted. arXiv:2506.06051
• Derived projective covers and Koszul duality of simple-minded and silting collections. Applied Categorical Structures 34, no. 2 (2026), article no. 10. arXiv:2309.00554
• The Weyl Groupoids of sl(m|n) and osp(r|2n) (joint with Jonas Nehme). Journal of Algebra 641 (2024), pp. 795–822. arXiv:2305.04751

Current (summer term 2026):

• Tutor for Mathematik 2: Analysis (für Informatiker), lecture course by Prof. Strohmaier

Previous (at the University of Bonn):

• Tutor for Foundations of Representation Theory, lecture course by Prof. Schröer, summer term 2023
• Tutor for Representation Theory II: Representation Theory, Geometry and Combinatorics, lecture course by Prof. Stroppel, winter term 2022/23
• Tutor for Algebra I, lecture course by Prof. Blomer, summer term 2022
• Tutor for Einführung in die Algebra, lecture course by Prof. Blomer, winter term 2021/22
• Tutor for Representation Theory II: Auslander–Reiten Theory, lecture course by Prof. Schröer, summer term 2021
• Tutor for Advanced Algebra I: Lie Algebras and their Representations, lecture course by Dr. Heidersdorf, winter term 2020/21
• Tutor for Algebra II: Modular Forms, lecture course by Prof. Blomer, winter term 2019/20
• Tutor for Einführung in die komplexe Analysis, lecture course by Prof. Bödigheimer, summer term 2019
• Tutor for Lineare Algebra I, lecture course by Prof. Huybrechts, winter term 2018/19
• Tutor for Analysis II, lecture course by Prof. Koch, summer term 2018
• Tutor for the Programmierkurs C++, preparatory course by Dr. Brenner, 09/2018
• Tutor for the Programmierkurs C, preparatory course by Johannes Holke and Clelia Albrecht, 09/2017