Lukasz Grabowski

I am Professor for Theoretical Mathematics in the Maths Institute of Leipzig University. My research interests include

Discrete groups and group rings of discrete groups (in particular l2-invariants, approximations of groups and group rings by fintie groups and finite algebras)
Measured group theory, measured and Borel combinatorics (in particular expansion properties of group actions and graphings, Kazhdan property, Aldous-Lyons conjecture, equidecompositions)
Algorithms and complexity theory related to graphs and groups (for example Lovasz Local Lemma)

All my articles and preprints can be found on arxiv.

Prospective PhD students

If you are a prospective PhD student interested in working with me, please feel free to get in touch to discuss potential PhD projects.

Information about funding and application process are at this link.

Mathe-Zirkel for School pupils

In the summer semester 2023-24 I run meetings for school pupils focussed on math olympiad problems and techniques. The meetings are in german, on Fridays, roughly every two weeks - please send me an email to confirm the next date if you would like to participate. These are organised in cooperation with LSGM, and are meant for years 8-12.

Some downloads

Slide from my talk in Bonn about unimodular random graphs, May 2024

Lecture notes for 4 introductory lectures on L2-invariants and Atiyah conjecutre (ICMat, Madrid 2018)

Temporary area for materials for the Algebraic Topology course SS 2023-24 (until the moodle page is set up): slides 01 slides 02 Notes for the first few lectures

Group members

Currently my group includes

PhD student Jardon Hector Sanchez (Aldous-Lyons conjecture, Kazhdan property in the context of groupoids)
PhD student Onur Bilge (Borel and measurable combinatorics)

All of them are excellent seminar speakers and would be delighted if you were to invite them to give a talk!

Former group members

Postdoc Joan Claramunt (Approximation of groups and group rings with respect to rank metric, l2-invariants, unit conjecture)
Postdoc Tomasz Ciesla (Measured and Borel combinatorics)

Contact

Postal address:
Universität Leipzig
Mathematisches Institut
PF 10 09 20
D-04009 Leipzig

Office: A511, Neues Augusteum (Augustusplatz 10)

Phone: +49-(0)341-97-32171

E-Mail: my last name AT math.uni-leipzig.de