Dr Zygouras’ research interests are in the field of Probability Theory and its applications to models of statistical physics. The fellowship will support his research project, 'Structures and Universalities around the Kardar-Parisi-Zhang Equation' and will run from 2018 to 2023.
Dr Zygouras’ research aims to build a novel and wide framework to explain the deep and still largely elusive structure of the Kardar-Parisi-Zhang (KPZ) equation, a universal model proposed to describe fluctuations of randomly growing interfaces. Study of the structure will mix ideas from many areas of mathematics including statistical mechanics, stochastic analysis, integrable systems, combinatorics and number theory.
The project will raise the UK's scientific status in a highly regarded and competitive research area.
Dr Nikos Zygouras discussing his research,
“The KPZ equation is a very interesting object because on the one hand it is mathematically extremely ill-defined but on the other it does describe fluctuations of randomly growing interfaces and holds a central position in describing new universality phenomena.
“The goal of the project is not only to answer questions around the KPZ equation and its universality but also to be a crossroad of ideas, connecting various different disciplines in mathematics, physics and, hopefully, even beyond.
“Research in this area is extremely intense across the globe, yet crucial progress in this internationally highly regarded field has been made here at Warwick, including the 2014 Fields Medal work by Martin Hairer.
“Large parts of my work and of this project have been inspired and strongly influenced by my many excellent colleagues here at Warwick and I feel very privileged to have grown scientifically in this environment.”
EPSRC Fellowships are awarded to the aspiring and current world-leading individuals who are delivering the highest quality research to meet UK and global priorities. The Fellowship will help Dr Zygouras position his research within the wider academic field and develop his leadership by establishing and extending his research group.