Applications of algebraic topology to quantum field theory

Funder	Science and Technology Facilities Council
Recipient Organization	University of Cambridge
Country	United Kingdom
Start Date	Sep 30, 2023
End Date	Mar 30, 2027
Duration	1,277 days
Number of Grantees	2
Roles	Student; Supervisor
Data Source	UKRI Gateway to Research
Grant ID	`2882485`

Grant Description

The project will begin by studying anomalies in 2-dimensional quantum field theories, using the mathematical theory of quadratic forms. Next, anomalies in quantum field theories in higher dimensions will be studied using the theory of Lie algebras. Finally, the use of infinity categories will be used to study quantum field theories and their generalized symmetries.