Andrei Akhvlediani
Themes:
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.
Selected Publications
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On the categorical meaning of Hausdorff and Gromov distances‚ I
Andrei Akhvlediani‚ Maria Manuel Clementino and Walter Tholen
In Topology and its Applications. 2008.
Details about On the categorical meaning of Hausdorff and Gromov distances‚ I | BibTeX data for On the categorical meaning of Hausdorff and Gromov distances‚ I | Download (pdf) of On the categorical meaning of Hausdorff and Gromov distances‚ I
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Hausdorff and Gromov Distances in Quantale−Enriched Categories
Andrei Akhvlediani
Master's Thesis 2008.
Details about Hausdorff and Gromov Distances in Quantale−Enriched Categories | BibTeX data for Hausdorff and Gromov Distances in Quantale−Enriched Categories | Download (pdf) of Hausdorff and Gromov Distances in Quantale−Enriched Categories