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 3 of 3 Results 21 to 25 of 25
The derived category of complex periodic K-theory localized at an odd prime
Advances in Mathematics, vol. 309, pp. 392-435Contributions to Journals: Articles- [ONLINE]
- [ONLINE] DOI:
Rigidity in equivariant stable homotopy theory
Algebraic & Geometric Topology, vol. 16, no. 4, pp. 2159-2227Contributions to Journals: Articles- [ONLINE]
- [ONLINE] DOI:
Topological Hochschild homology and the cyclic bar construction in symmetric spectra
Proceedings of the American Mathematical Society, vol. 144, pp. 4099-4106Contributions to Journals: Articles- [ONLINE] DOI:
Cubical approach to derived functors
Homology, Homotopy and Applications, vol. 14, no. 1, pp. 133-158Contributions to Journals: Articles- [ONLINE]
On the algebraic classification of module spectra
Algebraic & Geometric Topology, vol. 12, pp. 2329-2388Contributions to Journals: Articles- [ONLINE]