Pierre Schapira (mathematician)
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Pierre Schapira (born April 28, 1943) is a French mathematician. He specializes in
algebraic analysis Algebraic analysis is an area of mathematics that deals with systems of linear partial differential equations by using sheaf theory and complex analysis to study properties and generalizations of functions such as hyperfunctions and microfuncti ...
, especially
Mikio Sato was a Japanese mathematician known for founding the fields of algebraic analysis, hyperfunctions, and holonomic quantum fields. He was a professor at the Research Institute for Mathematical Sciences in Kyoto. Biography Born in Tokyo on 18 A ...
's
microlocal analysis In mathematical analysis, microlocal analysis comprises techniques developed from the 1950s onwards based on Fourier transforms related to the study of variable-coefficients-linear and nonlinear partial differential equations. This includes genera ...
, together with the mathematical concepts of sheaves and
derived categories In mathematics, the derived category ''D''(''A'') of an abelian category ''A'' is a construction of homological algebra introduced to refine and in a certain sense to simplify the theory of derived functors defined on ''A''. The construction proce ...
. Schapira received his doctorate for work on
hyperfunction In mathematics, hyperfunctions are generalizations of functions, as a 'jump' from one holomorphic function to another at a boundary, and can be thought of informally as distributions of infinite order. Hyperfunctions were introduced by Mikio Sato ...
s. Although these were already in use in France by
André Martineau André Martineau (born 14 May 1930 – 4 May 1972) was a French mathematician, specializing in mathematical analysis. Martineau studied at the École Normale Supérieure and received there, with Laurent Schwartz as supervisor, his Ph.D. with a the ...
, they were further developed by Schapira and
Jacques-Louis Lions Jacques-Louis Lions (; 2 May 1928 – 17 May 2001) was a French mathematician who made contributions to the theory of partial differential equations and to stochastic control, among other areas. He received the SIAM's John von Neumann Lecture p ...
. This work earned Shapira an invitation to
Kyoto University , or , is a National university, national research university in Kyoto, Japan. Founded in 1897, it is one of the former Imperial Universities and the second oldest university in Japan. The university has ten undergraduate faculties, eighteen gra ...
, where he met
Masaki Kashiwara is a Japanese mathematician and professor at the Kyoto University Institute for Advanced Study (KUIAS). He is known for his contributions to algebraic analysis, microlocal analysis, ''D''-module theory, Hodge theory, sheaf theory and represent ...
. Together, they developed the microlocal theory of sheaves, and have co-authored many papers spanning several decades. He served as a professor at the
Paris 13 University Sorbonne Paris North University () is a public university based in Paris, France. It is one of the thirteen universities that succeeded the University of Paris in 1968. It is a multidisciplinary university located in north of Paris, in the munici ...
in the 1980s and has been a professor at the
Pierre and Marie Curie University Pierre and Marie Curie University ( , UPMC), also known as Paris VI, was a public research university in Paris, France, from 1971 to 2017. The university was located on the Jussieu Campus in the Latin Quarter of the 5th arrondissement of Paris, ...
since the 1990s. In 1990, he was an invited speaker at the
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 IMU Abacus Medal (known before ...
in
Kyoto Kyoto ( or ; Japanese language, Japanese: , ''Kyōto'' ), officially , is the capital city of Kyoto Prefecture in the Kansai region of Japan's largest and most populous island of Honshu. , the city had a population of 1.46 million, making it t ...
, speaking on sheaf theory for
partial differential equation In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives. The function is often thought of as an "unknown" that solves the equation, similar to ho ...
s. Schapira was inducted as a
fellow A fellow is a title and form of address for distinguished, learned, or skilled individuals in academia, medicine, research, and industry. The exact meaning of the term differs in each field. In learned society, learned or professional society, p ...
of the
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
with the Society's inaugural class of Fellows in 2013.


See also

*
Mikio Sato was a Japanese mathematician known for founding the fields of algebraic analysis, hyperfunctions, and holonomic quantum fields. He was a professor at the Research Institute for Mathematical Sciences in Kyoto. Biography Born in Tokyo on 18 A ...
*
Masaki Kashiwara is a Japanese mathematician and professor at the Kyoto University Institute for Advanced Study (KUIAS). He is known for his contributions to algebraic analysis, microlocal analysis, ''D''-module theory, Hodge theory, sheaf theory and represent ...
*
Jean Leray Jean Leray (; 7 November 1906 – 10 November 1998) was a French mathematician, who worked on both partial differential equations and algebraic topology. Life and career He was born in Chantenay-sur-Loire (today part of Nantes). He studied at Éc ...
*
Alexander Grothendieck Alexander Grothendieck, later Alexandre Grothendieck in French (; ; ; 28 March 1928 – 13 November 2014), was a German-born French mathematician who became the leading figure in the creation of modern algebraic geometry. His research ext ...


References


External links


Pierre Schapira's page at ''Institut de Mathématiques de Jussieu-Paris Rive Gauche''Videos of Pierre Schapira
in the AV-Portal of the
German National Library of Science and Technology The German National Library of Science and Technology (), abbreviated TIB, is the national library of the Federal Republic of Germany for all fields of engineering, technology, and the natural sciences. It is jointly funded by the Federal Mini ...
{{DEFAULTSORT:Schapira, Pierre 1943 births Living people 20th-century French mathematicians 21st-century French mathematicians Academic staff of the University of Paris Fellows of the American Mathematical Society