George Nadareishvili

George Nadareishvili

Professor of Mathematics

Kutaisi International University

I am a research mathematician mainly interested in Noncommutative Topology, specifically applying category-theoretic techniques to operator algebras and their K-theory.

I currently hold an assistant professor position at the School of Mathematics and Computer Science at Kutaisi International University. I also work as a researcher at A. Razmadze Mathematical Institute and as an expert at the Ministry of Education, Science and Youth of Georgia.

Alongside mathematics, I also teach theoretical computer science courses.

I obtained my PhD in 2015 from the Mathematics Institute of the University of Göttingen, under the supervision of Ralf Meyer. Before that, I studied at Tbilisi State University and wrote my Master’s thesis under Alex Patchkoria.

Interests
  • Noncommutative Topology
  • Operator Algebras
  • KK-theory
  • Triangulated Categories
  • Theoretical Computer Science
Education

  • PhD in Mathematics, 2015

    University of Göttingen

  • MSc in Mathematics, 2011

    Tbilisi State University

  • BSc in Mathematics, 2009

    Tbilisi State University

Recent Publications

Ralf Meyer, George Nadareishvili (2024). A universal coefficient theorem for actions of finite groups on $C^*$-algebras. preprint on arXiv.

Cite arXiv link

George Nadareishvili (2024). Relative homological algebra for bivariant $K$-theory. Springer Proceedings in Mathematics & Statistics, vol 450. Springer, Cham..

Cite DOI

George Nadareishvili (2023). Algebra, Topology and Analysis: $C^*$ and $A_\infty$ Algebras. Proceedings of Algebra, Topology and Analysis: C* and A infinity Algebras 2021.

Cite PDF at TSU Publ.

George Nadareishvili (2019). Localizing subcategories in the bootstrap category of filtered $C^*$-algebras. J. Noncommut. Geom..

Cite DOI

George Nadareishvili (2015). A classification of localizing subcategories by relative homological algebra. PhD Thesis, University of Göttingen.

Cite PDF at Gött. Publ.

See all publications

Projects

Georgian funding formula for schools, 2024
To be added.

Recent & Featured Talks

Universal Homological Invariant for Equivariant Noncommutative Spaces
We discussed a universal homological invariant for the KK-category of equivariant C*-algebras with the action of a finite group. This is joint work with Ralf Meyer. Talk was held in Georgian.
Feb 22, 2024 14:00 A. Razmadze Mathematical Institute
Slides in Georgian
Affects of Government Interventions on the Spread of Novel Coronavirus
This was a talk given at the online seminar on Mathematical Modelling of Epidemics organized by Prof. Ralf Meyer at the University of Göttingen. We discussed how to apply Bayesian inference to evaluate the effectiveness of government interventions on the spread of COVID-19.
Apr 9, 2021 14:00 University of Göttingen (online)
Slides

Courses

Introduction to Theory of Computation

This class deals with fundamental questions: what is computable, what is not? What is provable and what not? What is computable with feasible effort. The concrete example ‘can RSA be broken with reasonable computation time?’ shows, that such fundamental questions have enormous practical importance.

Linear Algebra for Computer Science
Goals of this class are to develop mathematical understanding of basic concepts and techniques from linear algebra that will be required in later courses. These include studying linear systems of equations, understanding fundamental properties of matrices, comprehending notions of a vector, a vector space and linear transformation as well as understanding basics of complex numbers.

Seminars

Category Theory in Computer Science
Category Theory in Computer Science will commence at Kutaisi International University on February 21, 2024. The sessions will be held on Tuesdays 20:00-21:30, in auditorium G7. The seminar is designed for mathematics and computer science bachelor students, with the goal of identifying common ground between the two fields.

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