Guy David (born 1957) is a French mathematician, specializing in analysis.

Biography

David studied from 1976 to 1981 at the

École normale supérieure 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 ...

, graduating with ''

Agrégation In France, the ''agrégation'' () is a competitive examination for civil service in the French public education system. Candidates for the examination, or ''agrégatifs'', become ''agrégés'' once they are admitted to the position of ''professe ...

'' and ''

Diplôme d'études approfondies A Master of Advanced Studies or Master of Advanced Study (MAS, M.A.S., or MASt) is a postgraduate degree awarded in various countries. Master of Advanced Studies programs may be non-consecutive programs tailored for "specific groups of working pro ...

'' (DEA). At the

University of Paris-Sud Paris-Sud University (French: ''Université Paris-Sud''), also known as University of Paris — XI (or as Université d'Orsay before 1971), was a French research university distributed among several campuses in the southern suburbs of Paris, in ...

(Paris XI) he received in 1981 his doctoral degree (''Thèse du 3ème cycle'') and in 1986 his higher doctorate (''Thèse d'État'') with thesis ''Noyau de Cauchy et opérateurs de Caldéron-Zygmund'' supervised by Yves Meyer. David was from 1982 to 1989 an ''attaché de recherches'' (research associate) at the ''Centre de mathématiques Laurent Schwartz'' of the

CNRS The French National Centre for Scientific Research (french: link=no, Centre national de la recherche scientifique, CNRS) is the French state research organisation and is the largest fundamental science agency in Europe. In 2016, it employed 31,637 ...

. At the University of Paris-Sud he was from 1989 to 1991 a professor and from 1991 to 2001 a professor first class, and is since 1991 a professor of the ''Classe exceptionelle''. (with CV) David is known for his research on

Hardy space In complex analysis, the Hardy spaces (or Hardy classes) ''Hp'' are certain spaces of holomorphic functions on the unit disk or upper half plane. They were introduced by Frigyes Riesz , who named them after G. H. Hardy, because of the paper . ...

s and on singular integral equations using the methods of

Alberto Calderón Alberto Pedro Calderón (September 14, 1920 – April 16, 1998) was an Argentinian mathematician. His name is associated with the University of Buenos Aires, but first and foremost with the University of Chicago, where Calderón and his mentor, t ...

. In 1998 David solved a special case of a problem of Vitushkin. Among other topics, David has done research on Painlevé's problem of geometrically characterizing removable singularities for bounded functions;

Xavier Tolsa Xavier Tolsa (born 1966) is a Catalan mathematician, specializing in analysis. Tolsa is a professor at the Autonomous University of Barcelona and at the ''Institució Catalana de Recerca i Estudis Avançats'' (ICREA), the Catalan Institute for Ad ...

's solution of Painlevé's problem is based upon David's methods. With Jean-Lin Journé he proved in 1984 the T(1) Theorem, for which they jointly received the Salem Prize. The T(1) Theorem is of fundamental importance for the theory of singular integral operators of Calderón-Zygmund type. David also did research on the conjecture of

David Mumford David Bryant Mumford (born 11 June 1937) is an American mathematician known for his work in algebraic geometry and then for research into vision and pattern theory. He won the Fields Medal and was a MacArthur Fellow. In 2010 he was awarded t ...

and Jayant Shah in image processing and made contributions to the theory of Hardy spaces; the contributions were important for Jones' traveling salesman theorem in

\mathbb^2

. David has written several books in collaboration with Stephen Semmes.

Awards and honors

* 1986 — Invited Speaker,

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...

Berkeley, California Berkeley ( ) is a city on the eastern shore of San Francisco Bay in northern Alameda County, California, United States. It is named after the 18th-century Irish bishop and philosopher George Berkeley. It borders the cities of Oakland and Emer ...

David, Guy. "Opérateurs de Calderón-Zygmund." In Proceedings of the International Congress of Mathematicians, Berkeley, pp. 890-899. 1986. * 1987 — Salem Prize * 1990 — Prix IBM France * 1999 — Foreign Honorary Member of the

American Academy of Arts and Sciences The American Academy of Arts and Sciences (abbreviation: AAA&S) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, and ...

* 2001 — Silver medal of the

* 2004 —

Ferran Sunyer i Balaguer Prize The Ferran Sunyer i Balaguer Prize is a prize in mathematics, first awarded in 1993. It honors the memory of Ferran Sunyer i Balaguer (1912–1967), a self-taught Catalan mathematician who, despite a serious physical disability, was very active ...

for the article ''Singular sets of minimizers for the Mumford-Shah functional''. * 2004 — ''Prix Servant''

Articles

* * *with

Ronald Coifman Ronald Raphael Coifman is the Sterling professor of Mathematics at Yale University. Coifman earned a doctorate from the University of Geneva in 1965, supervised by Jovan Karamata. Coifman is a member of the American Academy of Arts and Sciences, ...

and Yves Meyer: * *with Jean-Lin Journé and Stephen Semmes: *with Jean-Lin Journé: * * *with

Pertti Mattila Pertti Esko Juhani Mattila (born 28 March 1948) is a Finnish mathematician working in geometric measure theory, complex analysis and harmonic analysis. He is Professor of Mathematics in the Department of Mathematics and Statistics at the Univers ...

: * *with Tatiana Toro:

Books

*with Stephen Semmes
Analysis of and on uniformly rectifiable sets
Mathematical Surveys and Monographs 38. American Mathematical Society, Providence, RI, 1993. *with Stephen Semmes
Uniform rectifiability and quasiminimizing sets of arbitrary codimension
Memoirs AMS 2000 *with Stephen Semmes:
Singular integrals and rectifiable sets in Rⁿ : au-delà des graphes lipschitziens
Astérisque 193, 1991 *with Stephen Semmes

Oxford Lecture Series in Mathematics and its Applications 7, Clarendon Press, Oxford 1997 *with Alexis Bonnet, Cracktip is a global Mumford-Shah minimizer, Astérisque 274, 2001

Lecture notes in mathematics 1465, Springer 1991
Singular sets of minimizers for the Mumford-Shah functional
Progress in Mathematics, Birkhäuser 2005 *with Tatiana Toro
Reifenberg parameterizations for sets with holes
Memoirs of the AMS 215, 2012 *with M. Filoche, D. Jerison, S. Mayboroda: A free boundary problem for the localization of eigenfunctions, Astérisque 392, 2017
arXiv:1406.6596Local regularity properties of almost- and quasiminimal sets with a sliding boundary condition
Astérisque 411, 2019
arXiv:1401.1179

References

{{DEFAULTSORT:David, Guy 1957 births Living people 20th-century French mathematicians 21st-century French mathematicians École Normale Supérieure alumni Mathematical analysts University of Paris alumni Academic staff of Paris-Sud University