Irakli Patchkoria

Irakli Patchkoria is a Lecturer in the Department of Mathematics at the University of Aberdeen, affiliated with the School of Natural and Computing Sciences. His research focuses on algebraic topology, K-theory, and homological algebra, with contributions to equivariant stable homotopy theory and Witt vectors.

• Research Interests: Algebraic Topology, K-Theory, Group Theory, Homological Algebra, Morava K-Theory, Algebraic Models for Homotopy Theories, Witt Vectors, de Rham-Witt Complex, TC and THH Computations, Equivariant Stable Homotopy Theory.

The recent publications highlight his work on Adams spectral sequences, Witt vectors with coefficients, cyclic homology of differential graded algebras, and geometric fixed points of real topological cyclic homology. These contributions intersect algebraic topology, homotopy theory, and noncommutative geometry.

Irakli is responsible for public outreach in his department and organizes the Aberdeen Topology Seminar. He has secured an EPSRC grant for research on classifying spaces and stable homotopy theory.