# Irakli Patchkoria

Mathematisches
Institut

Universität Bonn

Endenicher Allee 60

53115 Bonn

Phone |
+49-(0)228-733306 |

Email |
irpatchk (add ''at''math.uni-bonn.de) |

Office |
Endenicher Allee 60, Room 4.006 |

**About me**

Before I was a postdoc at the Mathematical Institute of the University of Bonn and a member of the Bonn Topology Group. I also spent some years as a postdoc at the Department of Mathematical Sciences of the University of Copenhagen and was funded by the Centre for Symmetry and Deformation.

My research interests mainly lie in stable homotopy theory, homological algebra and algebraic K-theory. I am especially interested in equivariant stable homotopy theory.

**Publications**

- Stable finiteness properties of infinite discrete groups (with Noé Bárcenas and Dieter Degrijse), Journal of Topology
**10**(2017), 1169-1196. - On exotic equivalences and a theorem of Franke, Bulletin of the London Mathematical Society
**49**(2017), 1085-1099. - The derived category of complex periodic K-theory localized at an odd prime, Advances in Mathematics
**309**(2017), 392-435. - Rigidity in equivariant stable homotopy theory, Algebraic & Geometric Topology
**16**(2016), 2159-2227. - Topological Hochschild homology and the cyclic bar construction in symmetric spectra
(with Steffen Sagave), Proceedings of the American Mathematical Society,
**144**(2016), no. 9, 4099–4106. - On the algebraic classification of module spectra, Algebraic & Geometric Topology
**12**(2012), 2329-2388. - Cubical approach to derived functors, Homology, Homotopy and Applications
**14**(2012), No. 1, 133-158.

**Ph.D. thesis: Rigidity in equivariant stable homotopy theory **

**Teaching**

- Exercises in Formal groups and cohomology theories (Topics in Topology II) (Block 3, 2016, Copenhagen)
- Stable homotopy theory (Topics in Topology) (Block 2, 2015-16, Copenhagen)
- Exercises Categories & Topology (Block 1, 2015, Copenhagen)
- K-theory (Block 4, 2015, Copenhagen)
- Exercises Categories & Topology (Block 1, 2014, Copenhagen)
- K-theory (Block 4, 2014, Copenhagen)
- Exercises Categories & Topology (Block 1, 2013, Copenhagen)
- GRK 1150 graduate student seminar: Unstable homotopy theory (SS 2012, Bonn)
- Reading course on spectral sequences (SS 2011, Bonn)
- Exercises Algebraic Topology I (WS 2010/2011, Bonn)
- Exercises Topology II (SS 2010, Bonn)
- Exercises Topology I (WS 2009/2010, Bonn)

## News

04.11.24: Hirzebruch lecture by Lisa Sauermann

Gerd Faltings elected member of the Order Pour le Mérite

Geordie Williamson receives the Max Planck-Humboldt Research Award 2024

ERC Starting Grant for Markus Hausmann

EMS Prize 2024 for Jessica Fintzen

Bonn mathematics performs excellently again in QS ranking

Stefan Schwede is invited speaker at the ECM 2024 in Sevilla

Jessica Fintzen wins Cole Prize

Catharina Stroppel receives Gottfried Wilhelm Leibniz Prize 2023

Jessica Fintzen is awarded a Whitehead Prize of the London Mathematical Society

Peter Scholze elected as Foreign Member of the Royal Society