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

I am a postdoc at the Mathematical Institute of the University of Bonn and a member of the Bonn Topology Group.

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

Preprints on arXiv

Publications

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 (joint 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)