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

Page 2 of 3 Results 11 to 20 of 25

  • On the de Rham-Witt complex over perfectoid rings

    Davis, C., Patchkoria, I.
    International Mathematics Research Notices, vol. 2022, no. 18, pp. 13897-13983
    Contributions to Journals: Articles
  • Witt vectors with coefficients and characteristic polynomials over non-commutative rings

    Dotto, E., Krause, A., Nikolaus, T., Patchkoria, I.
    Compositio Mathematica , vol. 158, no. 2, pp. 366-408
    Contributions to Journals: Articles
  • The spectrum of derived Mackey functors

    Patchkoria, I., Sanders, B., Wimmer, C.
    Transactions of the American Mathematical Society, vol. 375, pp. 4057-4105
    Contributions to Journals: Articles
  • Witt Vectors, Polynomial Maps, and Real Topological Hochschild Homology

    Dotto, E., Moi, K. J., Patchkoria, I.
    Annales Scientifiques de l'École Normale Supérieure, vol. 55, no. 2, pp. 473-535
    Contributions to Journals: Articles
  • Real topological Hochschild homology

    Dotto, E., Moi, K. J., Patchkoria, I., Reeh, S. P.
    Journal of the European Mathematical Society, vol. 23, no. 1, pp. 63-152
    Contributions to Journals: Articles
  • Rigidity and exotic models for v1-local G-equivariant stable homotopy

    Patchkoria, I., Roitzheim, C.
    Mathematische Zeitschrift, vol. 295, pp. 839-875
    Contributions to Journals: Articles
  • Equivariant dimensions of groups with operators

    Grant, M., Meir, E., Patchkoria, I.
    Working Papers: Working Papers
  • Comparing cyclotomic structures on different models for topological Hochschild homology

    Dotto, E., Malkiewich, C., Patchkoria, I., Sagave, S., Woo, C.
    Journal of Topology, vol. 12, no. 4, pp. 1146-1173
    Contributions to Journals: Articles
  • On exotic equivalences and a theorem of Franke

    Patchkoria, I.
    Bulletin of the London Mathematical Society, vol. 49, no. 6, pp. 1085-1099
    Contributions to Journals: Articles
  • Stable finiteness properties of infinite discrete groups

    Bárcenas, N., Degrijse, D., Patchkoria, I.
    Journal of Topology, vol. 10, no. 4, pp. 1169-1196
    Contributions to Journals: Articles
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