Andrei Akhvlediani

Doctoral Student

Student, Oriel College

andrei.akhvlediani@cs.ox.ac.uk

01865 (6) 10780

Room 204, Wolfson Building, Parks Road, Oxford OX1 3QD

Interests

My general interests are categorical methods in algebra, analysis, quantum computation and topology. My D. Phil project revolves around understanding so-called interacting algebras in a wider categorical setting. The ultimate goal is to develop a framework which allows one to define interacting algebras and study their properties. At the moment I am examining PROs, PROPs and PROBs as such a setting. In particular, I am using Lack's notion of PROP composition to define interaction algebras.

Before starting my D. Phil, I wrote a masters thesis on properties of Hausdorff and Gromov distances in the lax-algebraic setting. I am still investigating some open questions in that field.