📣 Help Shape the Future of UKRI's Gateway to Research (GtR)

We're improving UKRI's Gateway to Research and are seeking your input! If you would be interested in being interviewed about the improvements we're making and to have your say about how we can make GtR more user-friendly, impactful, and effective for the Research and Innovation community, please email gateway@ukri.org.

Residual properties of non-positively curved groups

Lead Research Organisation: University of Cambridge
Department Name: Pure Maths and Mathematical Statistics

Abstract

I am a researcher in geometric group theory. Actions of groups on geometric objects tell us about properties of the groups. In my PhD project, I attempt to translate properties of free groups and other
hyperbolic groups into the context of non-positively curved groups. Specifically, I would like to explore residual properties such as residual finiteness and subgroup separability.

Examples of such problems are:
- determine conditions of residual finiteness for a multiple HNN extension of a free group
- examine typical finite completion of a pre-cover of a right-angled Artin group.

Special cube complexes are particularly useful in this area.

People

ORCID iD

Michal Buran (Student)

Publications

10 25 50

Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/N509620/1 30/09/2016 29/09/2022
1992790 Studentship EP/N509620/1 30/09/2017 29/09/2020 Michal Buran