Grigory Garkusha

Professor Grigory Garkusha is a mathematician in the School of Mathematics and Computer Science at Swansea University. His research focuses on motivic homotopy theory, algebraic K-theory, algebraic geometry, topology, and category theory. He has held multiple EPSRC grants and is a Fellow of the Higher Education Academy. His work includes studies on framed motives, semilocal Milnor K-theory, and group schemes in motivic spectra. He supervises PhD students in topics like enriched motives and trusses, and teaches modules such as Introductory Linear Algebra and Vector Spaces.

• Research Highlights: Recent contributions include fibrant resolutions for motivic Thom spectra and correspondences in stable homotopy theory.
• Awards: EPSRC grants (EP/W012030/1, EP/J013064/1, EP/H021566/1) and nomination for Excellence in Teaching Awards (2015).
• Advising & Grants: Current supervision of projects on enriched motives and trusses, with past students completing work on tropical differential equations and rational enriched motivic spaces.

His research integrates algebraic geometry with homotopy theory, emphasizing categorical frameworks and their applications in K-theory.