Senior Lecturer
- 51cg
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- 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
- Research
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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
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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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Page 1 of 3 Results 1 to 10 of 25
Adams spectral sequences and Franke's algebraicity conjecture
American Mathematical Society, Providence, Rhode Island. 140 pagesBooks and Reports: Books- [ONLINE]
Comparison of equivariant cohomological dimensions
Israel Journal of MathematicsContributions to Journals: Articles- [ONLINE] DOI:
On the Farrell–Tate K-theory of Out(𝐹𝑛)
Forum of Mathematics, Sigma, vol. 14, e107Contributions to Journals: Articles- [ONLINE] DOI:
- [OPEN ACCESS]
On the cyclic homology of certain universal differential graded algebras
Homology, Homotopy and Applications, vol. 27, no. 2, pp. 25-51Contributions to Journals: Articles- [ONLINE] DOI:
- [OPEN ACCESS]
Witt vectors with coefficients and TR
Proceedings of the London Mathematical Society, vol. 130, no. 5, e70047Contributions to Journals: Articles- [ONLINE] DOI:
- [OPEN ACCESS]
On the geometric fixed-points of real topological cyclic homology
Journal of the London Mathematical Society, vol. 109, no. 2, e12862Contributions to Journals: Articles- [ONLINE] DOI:
- [OPEN ACCESS]
- [OPEN ACCESS]
- [ONLINE]
On the cyclic homology of certain universal differential graded algebras
Working Papers: Preprint Papers- [ONLINE] DOI:
Proper Equivariant Stable Homotopy Theory
Vol. 288, American Mathematical SocietyBooks and Reports: Books- [ONLINE] DOI:
- [OPEN ACCESS]
Comparison of equivariant cohomological dimensions
Working Papers: Preprint Papers- [ONLINE] DOI:
- [ONLINE]
Equivariant dimensions of groups with operators
Groups, Geometry and Dynamics, vol. 16, no. 3Contributions to Journals: Articles- [ONLINE]
- [ONLINE] DOI:
- [OPEN ACCESS]
- [OPEN ACCESS]