Mathieu Lewin

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 has been 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]

His works concern the mathematical properties of matter at the microscopic scale, and they are mostly based on quantum mechanics. He uses tools from the calculus of variations, nonlinear functional analysis, partial differential equations, and spectral theory. For instance, he studied several nonlinear models for atoms and molecules (e.g. the Multi-configurational self-consistent field and Hartree–Fock methods), or for infinite quantum systems (e.g. in quantum field theory and condensed matter).

• Lewin, Mathieu (2004-01-01). "Solutions of the Multiconfiguration Equations in Quantum Chemistry". Archive for Rational Mechanics and Analysis. Springer Science and Business Media LLC. 171 (1): 83–114. doi:10.1007/s00205-003-0281-6. ISSN 0003-9527.
• Esteban, Maria J.; Lewin, Mathieu; Séré, Eric (2008). "Variational methods in relativistic quantum mechanics". Bulletin of the American Mathematical Society. American Mathematical Society (AMS). 45 (4): 535–535. doi:10.1090/s0273-0979-08-01212-3. ISSN 0273-0979.
• Lewin, Mathieu (2011). "Geometric methods for nonlinear many-body quantum systems". Journal of Functional Analysis. Elsevier BV. 260 (12): 3535–3595. doi:10.1016/j.jfa.2010.11.017. ISSN 0022-1236.
• Frank, Rupert L.; Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert (2011-04-12). "Energy Cost to Make a Hole in the Fermi Sea". Physical Review Letters. American Physical Society (APS). 106 (15): 150402. doi:10.1103/physrevlett.106.150402. ISSN 0031-9007.
• Lewin, Mathieu; Nam, Phan Thành; Rougerie, Nicolas (2014). "Derivation of Hartreeʼs theory for generic mean-field Bose systems". Advances in Mathematics. Elsevier BV. 254: 570–621. doi:10.1016/j.aim.2013.12.010. ISSN 0001-8708.

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