Stefano Negro

Profile

Biography

I was an undergraduate student of physics, with a specialisation in its theoretical and mathematical aspects, at the University of Torino (IT). There, after a visit to the Université Pierre et Marie Curie (Paris, FR) under a joint-supervision project, I also obtained a Ph.D. in Physics and Astrophysics. Subsequently I held several post-doctoral positions at the University of Durham (UK), École Normale Supérieure de Paris (FR), Stony Brook and New York Universities (US). Since January 2024 I am a Lecturer at the University of York.

Career

2014 | Marie Curie Researcher at the University of Durham (UK)

2015-2016 | Post-doctorant at the École Normale Supérieure de Paris (FR)

2017-2020 | Post-doctoral associate at the Stony Brook University (US)

2020-2023 | Post-doctoral associate at the New York University (US)

2023 | Post-doctoral associate at the Stony Brook University (US)

Research

Overview

My research deals with classical and quantum field theories in low space-time dimensions. In particular, it focuses on the study of Integrable systems, of their deformations and on the relation of these subjects to other areas of theoretical physics and mathematics, such as string theory, algebra and geometry. Specifically I continue to work on two major lines of research: the generalised TTbar deformations and the ODE/IM correspondence.

Recently, I became interested in examples of integrable systems in space-time dimensions higher than 2 – such as the KP hierarchy or the Davey-Stewartson equation – in the mathematical structures underlying their integrability and in their connections to hydrodynamics.

Projects

1/ Analysis of generalised TTbar deformations of 2-dimensional integrable quantum field theories. Specifically, computation of correlation functions using the form factor bootstrap approach.

2/ Development of irrelevant deformations of TTbar type for field theories (both classical and quantum) in space-times of dimension higher than 2.

3/ Application of methods for the exact computation of expectation values in the non-relativistic limit of the sine-Gordon model, with potential applications to cold atom physics.

Research group(s)

Mathematical Finance and Stochastic Analysis Research Group

1/ International collaboration including: Dr. O. Castro-Alvaredo (Reader, City, University of London), F. Sailis (Ph.D. student, City, University of London) and Dr. I. M. Szécsényi (post-doc, Nordita, Stockholm).

2/ International collaboration including: Prof. R. Tateo (Full professor, University of Torino), T. Morone (Ph.D. student, University of Torino).

3/ International collaboration with Dr. A. Bastianello (post-doc, Technical University of Munich).

Available PhD research projects

I am happy to offer PhD projects in the general area of quantum integrability and exactly solvable systems. The projects listed above give an idea of my current research efforts and PhD projects can be developed in these directions, according to the student’s interests and preferences. Examples of different projects I’d be happy to supervise a student on are:

a/ The study of integrable spin chains with spins belonging to non-compact representations of Lie algebras. These have deep relations with the exact solvability of super-conformal QFTs in the planar limit, such as N=4 Super-Yang-Mills and ABJM theory.

b/ The study of integrable structures of integrable systems in space-time dimensions higher than 2, such as the KP hierarchy.

Teaching

Undergraduate

• Quantum & Continuum Dynamics