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 1 of 3 Results 1 to 10 of 25

  • Adams spectral sequences and Franke's algebraicity conjecture

    Patchkoria, I., Pstragwoski, P.
    American Mathematical Society, Providence, Rhode Island. 140 pages
    Books and Reports: Books
  • Comparison of equivariant cohomological dimensions

    Grant, M., Li, K., Meir, E., Patchkoria, I.
    Israel Journal of Mathematics
    Contributions to Journals: Articles
  • On the Farrell–Tate K-theory of Out⁡(𝐹𝑛)

    Andrew, N., Patchkoria, I.
    Forum of Mathematics, Sigma, vol. 14, e107
    Contributions to Journals: Articles
  • On the cyclic homology of certain universal differential graded algebras

    Davis, C., Frank, J., Patchkoria, I.
    Homology, Homotopy and Applications, vol. 27, no. 2, pp. 25-51
    Contributions to Journals: Articles
  • Witt vectors with coefficients and TR

    Dotto, E., Krause, A., Nikolaus, T., Patchkoria, I.
    Proceedings of the London Mathematical Society, vol. 130, no. 5, e70047
    Contributions to Journals: Articles
  • On the geometric fixed-points of real topological cyclic homology

    Dotto, E., Moi, K. J., Patchkoria, I.
    Journal of the London Mathematical Society, vol. 109, no. 2, e12862
    Contributions to Journals: Articles
  • On the cyclic homology of certain universal differential graded algebras

    Davis, C., Frank, J., Patchkoria, I.
    Working Papers: Preprint Papers
  • Proper Equivariant Stable Homotopy Theory

    Degrijse, D., Hausmann, M., Lück, W., Patchkoria, I., Schwede, S.
    Vol. 288, American Mathematical Society
    Books and Reports: Books
  • Comparison of equivariant cohomological dimensions

    Grant, M., Li, K., Meir, E., Patchkoria, I.
    Working Papers: Preprint Papers
  • Equivariant dimensions of groups with operators

    Grant, M., Meir, E., Patchkoria, I.
    Groups, Geometry and Dynamics, vol. 16, no. 3
    Contributions to Journals: Articles
Show 10 | 25 | 50 | 100 results per page

Refine

Books and Reports

Contributions to Journals

Working Papers