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

A universal coefficient theorem for actions of finite groups on $C^*$-algebras.
preprint on *arXiv*.

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

(2024).
Algebra, Topology and Analysis: $C^*$ and $A_\infty$ Algebras.
*Proceedings of Algebra, Topology and Analysis: C* and A infinity Algebras 2021*.

(2023).
Localizing subcategories in the bootstrap category of filtered $C^*$-algebras.
*J. Noncommut. Geom.*.

(2019).
A classification of localizing subcategories by relative homological algebra.
PhD Thesis, *University of Göttingen*.

(2015).
- giorgi.nadareishvili@kiu.edu.ge
- 2, Merab Aleksidze II Lane, Tbilisi, 0193