Dr Doyon was an undergraduate at Université Laval (Québec, Canada) from 1995 to 1998, where he obtained his baccalaureate degree in physics. He completed his PhD studies on the subject of integrable quantum field theory from 1998 to 2004 at Rutgers University (New Jersey, U.S.A.), partly funded by a four-year NSERC (Canada) fellowship and under the supervision of Prof. Sergei Lukyanov. While at Rutgers, he also participated in a programme of study and research in mathematics under the supervision of Prof. James Lepowsky, and had the opportunity to work in condensed matter theory with Prof. Natan Andrei.
He then obtained an EPSRC postdoctoral research fellowship from 2004 to 2007, spent at the Rudolf Peierls Centre for Theoretical Physics of Oxford University under the guidance of Prof. John Cardy. He was lecturer in mathematics in the theoretical physics group of Durham University from 2007 to 2009, where he started the supervision of his first PhD student in the summer of 2009. He was then appointed to a lectureship at King's College London from January 2010, was promoted to Senior Lecturer in September 2014, and to Reader in September 2016. He obtained an EPSRC First Grant in mathematics (2010-2012) and an EPSRC Standard Grant in mathematics (2016-2019), as Co-investigator with Olalla A. Castro Alvaredo (City, University of London). As of 1 January 2019, for one year, he is a Royal Society Leverhulme Trust Senior Research Fellow.
One of the most exciting ideas in modern science is that of emerging complex phenomena from simple fundamental laws. This beautiful idea led to many new developments in the theoretical physics of many-body systems, and is at the basis of a large variety of subjects, from fundamental particle physics to macro economics to life itself. In my research, I study such emerging behaviours especially in the context of quantum and classical statistical physics. I concentrate on the theoretical and mathematical aspects. I like to obtain exact formulae and develop new methods and mathematical frameworks in order to have a good understanding of the emerging physical principles that are at play. I use the extensive toolboxes of integrability, field theory and, recently, fluid dynamics as well as C-star algebras and functional analysis.
My early works concentrated on integrable quantum field theory, where I worked on two-dimensional critical statistical models on curved space, integrable quantum field theory at nonzero temperature, and the relation between quantum correlation functions and integrable partial differential equations. I have also developed aspects of vertex operator algebras. More recently I have studied conformal loop ensembles, conformal field theory out of equilibrium and its large-deviation theory, and quantum entanglement in many-body systems, where I co-authored the paper introducing in this area the widely used concept of branch-point twist field. Currently I am most active both in the area of entanglement entropy, and of quantum systems out of equilibrium, where I have obtained mathematically rigorous results on thermalization and generalized Gibbs ensembles, I have co-authored many of the foundation papers for the extremely active subject of generalised hydrodynamics (the hydrodynamics of integrable systems).
Research profile & Publications