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 1 Results 1 to 25 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
  • 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
  • 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