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
- 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 2 of 3 Results 11 to 20 of 25
On the de Rham-Witt complex over perfectoid rings
International Mathematics Research Notices, vol. 2022, no. 18, pp. 13897-13983Contributions to Journals: Articles- [ONLINE] DOI:
- [OPEN ACCESS]
- [ONLINE]
Witt vectors with coefficients and characteristic polynomials over non-commutative rings
Compositio Mathematica , vol. 158, no. 2, pp. 366-408Contributions to Journals: Articles- [ONLINE] DOI:
- [OPEN ACCESS]
- [ONLINE]
- [ONLINE]
The spectrum of derived Mackey functors
Transactions of the American Mathematical Society, vol. 375, pp. 4057-4105Contributions to Journals: Articles- [ONLINE] DOI:
- [OPEN ACCESS]
Witt Vectors, Polynomial Maps, and Real Topological Hochschild Homology
Annales Scientifiques de l'École Normale Supérieure, vol. 55, no. 2, pp. 473-535Contributions to Journals: Articles- [ONLINE] DOI:
- [ONLINE]
- [ONLINE]
Real topological Hochschild homology
Journal of the European Mathematical Society, vol. 23, no. 1, pp. 63-152Contributions to Journals: Articles- [ONLINE] DOI:
- [OPEN ACCESS]
- [ONLINE]
Rigidity and exotic models for v1-local G-equivariant stable homotopy
Mathematische Zeitschrift, vol. 295, pp. 839-875Contributions to Journals: Articles- [ONLINE] DOI:
- [OPEN ACCESS]
- [ONLINE]
- [ONLINE]
Equivariant dimensions of groups with operators
Working Papers: Working Papers- [ONLINE]
- [OPEN ACCESS]
Comparing cyclotomic structures on different models for topological Hochschild homology
Journal of Topology, vol. 12, no. 4, pp. 1146-1173Contributions to Journals: Articles- [ONLINE] DOI:
- [OPEN ACCESS]
- [ONLINE]
On exotic equivalences and a theorem of Franke
Bulletin of the London Mathematical Society, vol. 49, no. 6, pp. 1085-1099Contributions to Journals: Articles- [ONLINE]
Stable finiteness properties of infinite discrete groups
Journal of Topology, vol. 10, no. 4, pp. 1169-1196Contributions to Journals: Articles- [ONLINE] DOI:
- [ONLINE]