Leyli Mammadova

Profile

Biography

I obtained my Masters degree in Mathematics from ETH Zürich in 2015, and did my PhD at KU Leuven (2016-2020) under the supervision of Professor Marco Zambon. My thesis was titled "Moment maps in multisymplectic geometry" and focused on various generalizations of the concept of a moment map from symplectic geometry to multisymplectic geometry. 

Research

Overview

Multisymplectic geometry is a generalization of symplectic geometry, initially developed to provide a finite-dimensional and covariant mathematical framework for classical field theory. While my PhD thesis focussed solely on mathematical questions regarding the notions of various moment maps in multisymplectic geometry, I have also always been interested in applications to physics. I am currently collaborating with Dr Kasia Rejzner at the University of York on a project that aims to build a bridge between multisymplectic geometry and perturbative algebraic quantum field theory. This collaboration is possible thanks to the LMS Early Career Fellowship.

Research group(s)

Mathematical Physics and Quantum Information Research Group