Dr Irakli Patchkoria

About

Email Addressirakli.patchkoria@abdn.ac.ukTelephone Number+44 (0)1224 272749Office AddressDepartment of Mathematics University of Aberdeen Fraser Noble Building Office 161School/DepartmentSchool of Natural and Computing Sciences Biography CV I am a keen tennis player. Here is my British Tennis profile with the recent statistics and results. Research Research Overview Algebraic Topology, K-theory, Group theory, Homological Algebra, arXiv preprints 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: On the K(n)-local duality for infinite groups Chromatic congruences and Bernoulli numbers Morava K-t

Selected publications

• Adams spectral sequences and Franke's algebraicity conjecture 2026 - PublishedPatchkoria, I., Pstragwoski, P. American Mathematical Society, Providence, Rhode Island. 140 pagesBooks and Reports: Books[ONLINE] Book at the publisher's website
• [ONLINE] Book at the publisher's website
• On the Farrell–Tate K-theory of Out⁡(𝐹𝑛) 2026 - E-pub ahead of printAndrew, N., Patchkoria, I. Forum of Mathematics, Sigma, vol. 14Contributions to Journals: Articles[ONLINE] DOI: https://doi.org/10.1017/fms.2026.10239
• [ONLINE] DOI: https://doi.org/10.1017/fms.2026.10239
• Comparison of equivariant cohomological dimensions 2026 - E-pub ahead of printGrant, M., Li, K., Meir, E., Patchkoria, I. Israel Journal of MathematicsContributions to Journals: Articles[ONLINE] DOI: https://doi.org/10.1007/s11856-026-2910-y
• [ONLINE] DOI: https://doi.org/10.1007/s11856-026-2910-y
• On the cyclic homology of certain universal differential graded algebras 2025 - PublishedDavis, C., Frank, J., Patchkoria, I. Homology, Homotopy and Applications, vol. 27, no. 2, pp. 25-51Contributions to Journals: Articles[ONLINE] DOI: https://doi.org/10.4310/HHA.2025.v27.n2.a2[OPEN ACCESS] https://aura.abdn.ac.uk/bitstreams/889aec2c-960f-48c9-8021-6a91863685ac/download
• [ONLINE] DOI: https://doi.org/10.4310/HHA.2025.v27.n2.a2
• [OPEN ACCESS] https://aura.abdn.ac.uk/bitstreams/889aec2c-960f-48c9-8021-6a91863685ac/download
• Witt vectors with coefficients and TR 2025 - PublishedDotto, E., Krause, A., Nikolaus, T., Patchkoria, I. Proceedings of the London Mathematical Society, vol. 130, no. 5, e70047Contributions to Journals: Articles[ONLINE] DOI: https://doi.org/10.1112/plms.70047[OPEN ACCESS] https://aura.abdn.ac.uk/bitstreams/5d6b05c4-11b0-4f1f-8abd-a03706eaa6d3/download