Dr Irakli Patchkoria

Biography

CV

I am a keen tennis player. Here is my British Tennis profile with the recent statistics and results.

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-theory of infinite groups and Euler characteristic

Derived Mackey functors

Classification of module spectra and Franke's algebraicity conjecture

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 Aberdeen Science Centre and Maths Week Scotland:

An Introduction to Topology

Funding and Grants

EPSRC Grant: Classifying spaces, proper actions and stable homotopy theory

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