Mathieu Lewin (born 14 November 1977 in
Senlis
Senlis () is a commune in the northern French department of Oise, Hautes de France.
The monarchs of the early French dynasties lived in Senlis, attracted by the proximity of the Chantilly forest. It is known for its Gothic cathedral and other h ...
,
Oise,
France
France (), officially the French Republic ( ), is a country primarily located in Western Europe. It also comprises of Overseas France, overseas regions and territories in the Americas and the Atlantic Ocean, Atlantic, Pacific Ocean, Pac ...
) is a French mathematician and
mathematical physicist
Mathematical physics refers to the development of mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and the developmen ...
who deals with
partial differential equation
In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a Multivariable calculus, multivariable function.
The function is often thought of as an "unknown" to be sol ...
s, mathematical
quantum field theory
In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics. QFT is used in particle physics to construct physical models of subatomic particles and ...
and mathematics of
quantum mechanical many-body systems.
Biography
Lewin studied mathematics at the
École normale supérieure de Cachan
École may refer to:
* an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée)
* École (river), a tributary of the Seine flowing in région Île-de-France
* École, Savoi ...
, 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
The University of Copenhagen ( da, Københavns Universitet, KU) is a prestigious public university, public research university in Copenhagen, Copenhagen, Denmark. Founded in 1479, the University of Copenhagen is the second-oldest university in ...
under Jan Philip Solovej. From 2005, he conducted research for the Centre national de la recherche scientifique (CNRS) at the
University of Cergy-Pontoise
Cergy-Pontoise University (French: ''Université de Cergy-Pontoise'') was a French university, located in Cergy-Pontoise, France. On 1 January 2020, the university merged with the International School of Information Processing Sciences (EISTI) an ...
, then at the Paris-Dauphine university.
[
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".][
]
Works
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
The calculus of variations (or Variational Calculus) is a field of mathematical analysis that uses variations, which are small changes in functions
and functionals, to find maxima and minima of functionals: mappings from a set of functions t ...
, nonlinear functional analysis
Nonlinear functional analysis is a branch of mathematical analysis that deals with nonlinear mappings.
Topics
Its subject matter includes:
* generalizations of calculus to Banach spaces
* implicit function theorems
* fixed-point theorems (Br ...
, partial differential equations
In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a multivariable function.
The function is often thought of as an "unknown" to be solved for, similarly to ...
, and spectral theory In mathematics, spectral theory is an inclusive term for theories extending the eigenvector and eigenvalue theory of a single square matrix to a much broader theory of the structure of operators in a variety of mathematical spaces. It is a result o ...
. 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
In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics. QFT is used in particle physics to construct physical models of subatomic particles and ...
and condensed matter).
Selection of papers
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References
Web page
1977 births
Living people
French mathematicians
{{France-mathematician-stub