François Labourie
Encyclopedia
François Labourie is a French
mathematician
who has made various contributions to geometry
, including pseudoholomorphic curve
s, Anosov diffeomorphism
, and convex geometry
. In a series of papers with Yves Benoist and Patrick Foulon, he solved a conjecture on Anosov's flows in compact contact manifolds.
He was educated at the Ecole Normale Supérieure
and Paris Diderot University, where he earned his Ph.D.
under supervision of Mikhail Gromov. In 1992 he was awarded one of the inaugural prizes of the European Mathematical Society
.
France
The French Republic , The French Republic , The French Republic , (commonly known as France , is a unitary semi-presidential republic in Western Europe with several overseas territories and islands located on other continents and in the Indian, Pacific, and Atlantic oceans. Metropolitan France...
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
who has made various contributions to geometry
Geometry
Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ....
, including pseudoholomorphic curve
Pseudoholomorphic curve
In mathematics, specifically in topology and geometry, a pseudoholomorphic curve is a smooth map from a Riemann surface into an almost complex manifold that satisfies the Cauchy–Riemann equation. Introduced in 1985 by Mikhail Gromov, pseudoholomorphic curves have since revolutionized the study of...
s, Anosov diffeomorphism
Anosov diffeomorphism
In mathematics, more particularly in the fields of dynamical systems and geometric topology, an Anosov map on a manifold M is a certain type of mapping, from M to itself, with rather clearly marked local directions of 'expansion' and 'contraction'. Anosov systems are a special case of Axiom A...
, and convex geometry
Convex geometry
Convex geometry is the branch of geometry studying convex sets, mainly in Euclidean space.Convex sets occur naturally in many areas of mathematics: computational geometry, convex analysis, discrete geometry, functional analysis, geometry of numbers, integral geometry, linear programming,...
. In a series of papers with Yves Benoist and Patrick Foulon, he solved a conjecture on Anosov's flows in compact contact manifolds.
He was educated at the Ecole Normale Supérieure
École Normale Supérieure
The École normale supérieure is one of the most prestigious French grandes écoles...
and Paris Diderot University, where he earned his Ph.D.
Doctor of Philosophy
Doctor of Philosophy, abbreviated as Ph.D., PhD, D.Phil., or DPhil , in English-speaking countries, is a postgraduate academic degree awarded by universities...
under supervision of Mikhail Gromov. In 1992 he was awarded one of the inaugural prizes of the European Mathematical Society
European Mathematical Society
The European Mathematical Society is a European organization dedicated to the development of mathematics in Europe. Its members are different mathematical societies in Europe, academic institutions and individual mathematicians...
.