Jean-Pierre Demailly | |
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![]() Jean-Pierre Demailly in 2008
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Born |
Péronne (France) |
25 September 1957
Nationality | French |
Fields | Mathematics |
Institutions | Grenoble Alpes University |
Alma mater | École Normale Supérieure |
Doctoral students | Sébastien Boucksom Laurent Manivel Mihai Pāun |
Jean-Pierre Demailly (born 1957) is a French mathematician working in complex analysis and differential geometry.
Demailly entered the École Normale Supérieure in 1975. He received his Ph.D. in 1982 under the direction of Henri Skoda at the Pierre and Marie Curie University. He became a professor at Grenoble in 1983.
Demailly's prizes include the Grand Prix Mergier-Bourdeix from the French Academy of Sciences in 1994, the Simion Stoilow Prize from the Romanian Academy of Sciences in 2006, and the Stefan Bergman Prize from the American Mathematical Society in 2015. He became a permanent member of the French Academy of Sciences in 2007. He was an invited speaker at the International Congress of Mathematicians in 1994 and a plenary speaker in 2006.
One main topic of Demailly's research is Lelong's generalization of the notion of a Kähler form to allow forms with singularities, known as currents. In particular, for a compact complex manifold X, an element of H1,1(X,R) is called pseudo-effective if it is represented by a closed positive (1,1)-current (where "positive" means "nonnegative" in this phrase), or big if it is represented by a strictly positive (1,1)-current; these definitions generalize the corresponding notions for holomorphic line bundles on projective varieties. Demailly's regularization theorem says, in particular, that any big class can be represented by a Kähler current with analytic singularities.