Lewin studied mathematics at the École normale supérieure de Cachan, receiving his master's degree in 2000. He then received his PhD in 2004 at the Paris Dauphine University (Dauphine-Paris) PhD under the direction of Éric Séré. His dissertation was titled Some Nonlinear Models in quantum mechanics. From 2004 to 2005 he was a postdoctoral fellow at the University of Copenhagen under Jan Philip Solovej. From 2005, he conducted research for the Centre national de la recherche scientifique (CNRS) at the University of Cergy-Pontoise, then at the Paris-Dauphine university.[1]
In July 2012, he was awarded an EMS Prize "for his ground breaking work in rigorous aspects of quantum chemistry, mean field approximations to relativistic quantum field theory and statistical mechanics".[1]
Lewin, Mathieu (2004). "Solutions of the Multiconfiguration Equations in Quantum Chemistry". Archive for Rational Mechanics and Analysis. 171 (1). Springer: 83–114. doi:10.1007/s00205-003-0281-6. S2CID16366393.
Lenzmann, Enno; Lewin, Mathieu (2010). "Minimizers for the Hartree-Fock-Bogoliubov theory of neutron stars and white dwarfs". Duke Mathematical Journal. 152 (2). Duke University Press: 257–315. arXiv:0809.2560. doi:10.1215/00127094-2010-013. S2CID15321236.