51cg

Dr Irakli Patchkoria

Dr Irakli Patchkoria
Dr Irakli Patchkoria
Dr Irakli Patchkoria

Senior Lecturer

51cg
Email Address
irakli.patchkoria@abdn.ac.uk
Telephone Number
+44 (0)1224 272749
Office Address

Department of Mathematics

51cg

Fraser Noble Building

Office 161

School/Department
School of Natural and Computing Sciences

Biography

CV

I am a keen tennis player. Here is my with the recent statistics and results.

 

Research

Research Overview

Algebraic Topology, K-theory, Group theory, Homological Algebra, 

Current Research

Invariants of infinite groups coming from stable homotopy theory, Farrell-Tate cohomology, Morava K-theory of classifying spaces, tt-geometry in (proper) equivariant stable homotopy theory. 

Here are some talks I have given recently:

 

Knowledge Exchange

I was previously responsible for public outreach of our Department. Here is a popular science talk about my research area Topology organised by  and :

 

Funding and Grants

EPSRC Grant:

Teaching

Teaching Responsibilities

Spring term 2026: MX3535 Analysis IV, SMSTC graduate course: Stable Homotopy Theory, Exercises on MA1510 Combinatorics

Winter term 2025: MX3036 Metric and Topological spaces, SMSTC graduate course: Homotopy Theory

Spring term 2025: MX3535 Analysis IV

Winter term 2024: MX3036 Metric and Topological spaces

Spring term 2024: MX3536 Differential Equations

Winter term 2023: MX3036 Metric and Topological spaces

Spring term 2023: MA1510 Combinatorics, MX3536 Differential Equations

Winter term 2022: MX3036 Metric and Topological spaces 

Spring term 2022: MA1510 Combinatorics, MX3536 Differential Equations

Winter term 2021: MX3036 Metric and Topological spaces

Spring term 2021: MA1510 Combinatorics, MX3536 Differential Equations

Winter term 2020: MX3036 Metric and Topological spaces, Exercises for MA2010 Probability

Spring term 2020: MA1510 Combinatorics

Winter term 2019: MX3036 Metric and Topological spaces

Spring term 2019: MA1510 Combinatorics 

 

 

Publications

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  • The derived category of complex periodic K-theory localized at an odd prime

    Patchkoria, I.
    Advances in Mathematics, vol. 309, pp. 392-435
    Contributions to Journals: Articles
  • Rigidity in equivariant stable homotopy theory

    Patchkoria, I.
    Algebraic & Geometric Topology, vol. 16, no. 4, pp. 2159-2227
    Contributions to Journals: Articles
  • Topological Hochschild homology and the cyclic bar construction in symmetric spectra

    Patchkoria, I., Sagave, S.
    Proceedings of the American Mathematical Society, vol. 144, pp. 4099-4106
    Contributions to Journals: Articles
  • Cubical approach to derived functors

    Patchkoria, I.
    Homology, Homotopy and Applications, vol. 14, no. 1, pp. 133-158
    Contributions to Journals: Articles
  • On the algebraic classification of module spectra

    Patchkoria, I.
    Algebraic & Geometric Topology, vol. 12, pp. 2329-2388
    Contributions to Journals: Articles
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Books and Reports

Contributions to Journals

Working Papers