Benjamin Böhme

This page is outdated; please see my website at the University of Bonn.

CV

From September 2015 to August 2018, I was a PhD student in algebraic topology at the University of Copenhagen. My PhD advisor is Jesper Grodal. Starting in October 2018, I will be a postdoc at the University of Bonn.

See my CV (last updated: September 2018).

Research Interests

My main mathematical interests lie in unstable and stable equivariant homotopy theory, their relationship, and the interplay with additional algebraic structure such as ring or module structures. Moreover, I am interested in the theory of finite groups and compact Lie groups, their representation theory, tensor-triangulated geometry, and equivariant structures in commutative algebra (e.g. Mackey and Tambara functors). I also have an outside interest in the G-infinity categories of Barwick et al., chromatic and motivic homotopy theory.

View my research statement (last updated: January 2018).

Preprints and publications

Idempotent characters and equivariantly multiplicative splittings of K-theory
Preprint, August 2018. See arXiv:1808.09832.

Multiplicativity of the idempotent splitting of the Burnside ring and the G-sphere spectrum
Preprint, February 2018. See arXiv:1802.01938.

Global model structures for *-modules
Preprint, July 2016. See arXiv:1607.00144.
Currently undergoing revisions at “Homology, Homotopy and Applications”.

Theses

Equivariant multiplications and idempotent splittings of G-spectra
Ph.D. Thesis.
University of Copenhagen, August 2018.
Accepted for defence by the PhD school of the Faculty of Science at the University of Copenhagen.

Global model structures for *-modules
Master’s Thesis.
Universität Bonn, March 2015. Download.

Adams-Operationen und Existenz von reellen Divisionsalgebren
Bachelor’s Thesis (in German).
Ruhr-Universität Bochum, February 2013. Download.