Alexander Ziegler

Arbeitsgruppe Topologie
Fachgruppe Mathematik und Informatik
Fakultät für Mathematik und Naturwissenschaften
Bergische Universität Wuppertal
Gaußstraße 20
42119 Wuppertal

Office: G16.06 at Campus Grifflenberg
Email: lastname@math.uni-wuppertal.de
Phone: +49 202 439-3478

Hi there! I am a PhD student in the topology group of the Bergische Universität Wuppertal. My advisor is Prof. Dr. Matthias Wendt.

I am currently trying to understand more about cohomology classes of classifying spaces of finite groups that are not (transfers of) Chern classes of representations. My goal is to relate these classes to a 2-categorical analogue of representations called 2-representions.

This endeavor comes in several flavors:

Furthering computational methods for the Chow ring of a motivic classifying space
Generalizing 2-vector spaces in the sense of Kapranov-Voevodsky
Searching for bad groups in the sense of Hopkins-Kuhn-Ravenel

At the moment I am trying to define the analogue of finitely generated projective modules over a Rig category. Feel free to reach out if you are curious about that!

My favorite finite group is SmallGroup(32,8).

Projects and Preprints

"Gamma Graded Character Rings" a tool set written in Sage and GAP to compute the associated graded algebra to the γ-filtration or geometric filtration on the complex representation ring of a finite group, documentation is under revision GitHub
"The Chow Ring of the 2-Sylow Subgroup of GL(4,2)" A computation of the mod-2 Chow ring of the classifying space of Syl_2 GL(4,2), extending methods of Burt Totaro to a more general computation strategy arXiv
"A Chow Ring of a finite group not generated by Chern classes" A computation of the mod-2 Chow ring of SmallGroup(32,8), which is not generated by Chern classes, work in progress

Impressum