Homotopical and higher categorical structures

Funder	Engineering and Physical Sciences Research Council
Recipient Organization	University of Edinburgh
Country	United Kingdom
Start Date	Aug 31, 2021
End Date	Mar 30, 2026
Duration	1,672 days
Number of Grantees	1
Roles	Student
Data Source	UKRI Gateway to Research
Grant ID	`2617204`

Grant Description

This project concerns homotopical and higher categorical structures. These appear in topology, arithmetic geometry, mathematical physics, and representation theory.

As these subjects turn increasingly to the phenomenon of "categorification," these structures become accordingly central. This project will focus on understanding these structures and establishing their basic properties. The goal will be to solve concrete problems from subjects outside homotopy theory using homotopical tools.