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Joseph Bernstein

 

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Joseph Bernstein



 
 
Joseph Bernstein (sometimes spelled I. N. Bernshtein or Iosif Naumovic Bernštejn, , ) (born April 18, 1945 in Moscow
Moscow

Moscow is the capital and the largest types of inhabited localities in Russia of the Russian Federation. It is also the largest European cities and metropolitan areas, with the Moscow metropolitan area ranking among the largest urban areas in the world....
) is an Israeli
Israelis

Israelis are citizens of the modern state of Israel regardless of religious heritage or Ethnicity, including most numerously Jews, Muslims, Arab Christians, Arabs, Druze, Circassians, and others....
 mathematician
Mathematician

A mathematician is a person whose primary area of study and/or research is the field of mathematics....
 working at Tel Aviv University
Tel Aviv University

Tel Aviv University is a large, public university, located in Tel Aviv, Israel. As of 2006, the Tel Aviv University has a student population of 29,000....
. He works in algebraic geometry
Algebraic geometry

Algebraic geometry is a branch of mathematics which, as the name suggests, combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry....
, representation theory
Representation theory

Representation theory is a branch of mathematics that studies abstract algebra algebraic structures by representing their element as linear transformations of vector spaces....
, and number theory
Number theory

Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study....
, and he his known for his close relationships with students.

He received his PhD in 1972 under Israil Gelfand at Moscow State University
Moscow State University

M. V. Lomonosov Moscow State University , for a time the Lomonosov University , is the largest university in Russia. Founded in 1755, it also claims to be the oldest university in Russia....
 and was elected to the National Academy of Sciences in 2004. He was awarded the Israel Prize
Israel Prize

The Israel Prize is an award handed out by the State of Israel. It is presented annually, on Yom Ha'atzma'ut, in a state ceremony in Jerusalem, in the presence of the President of Israel, the Prime Minister of Israel, the Knesset chairperson, and the Supreme Court of Israel president....
 in mathematics in 2004.






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Joseph Bernstein (sometimes spelled I. N. Bernshtein or Iosif Naumovic Bernštejn, , ) (born April 18, 1945 in Moscow
Moscow

Moscow is the capital and the largest types of inhabited localities in Russia of the Russian Federation. It is also the largest European cities and metropolitan areas, with the Moscow metropolitan area ranking among the largest urban areas in the world....
) is an Israeli
Israelis

Israelis are citizens of the modern state of Israel regardless of religious heritage or Ethnicity, including most numerously Jews, Muslims, Arab Christians, Arabs, Druze, Circassians, and others....
 mathematician
Mathematician

A mathematician is a person whose primary area of study and/or research is the field of mathematics....
 working at Tel Aviv University
Tel Aviv University

Tel Aviv University is a large, public university, located in Tel Aviv, Israel. As of 2006, the Tel Aviv University has a student population of 29,000....
. He works in algebraic geometry
Algebraic geometry

Algebraic geometry is a branch of mathematics which, as the name suggests, combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry....
, representation theory
Representation theory

Representation theory is a branch of mathematics that studies abstract algebra algebraic structures by representing their element as linear transformations of vector spaces....
, and number theory
Number theory

Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study....
, and he his known for his close relationships with students.

He received his PhD in 1972 under Israil Gelfand at Moscow State University
Moscow State University

M. V. Lomonosov Moscow State University , for a time the Lomonosov University , is the largest university in Russia. Founded in 1755, it also claims to be the oldest university in Russia....
 and was elected to the National Academy of Sciences in 2004. He was awarded the Israel Prize
Israel Prize

The Israel Prize is an award handed out by the State of Israel. It is presented annually, on Yom Ha'atzma'ut, in a state ceremony in Jerusalem, in the presence of the President of Israel, the Prime Minister of Israel, the Knesset chairperson, and the Supreme Court of Israel president....
 in mathematics in 2004. Some of his students include Edward Frenkel, Roman Bezrukavnikov, Alexander Braverman, and Dennis Gaitsgory
Dennis Gaitsgory

Dennis Gaitsgory is a mathematician at Harvard University known for his research on the Langlands program. Born in what is now Moldova, he grew up in Tajikistan, before studying at Tel Aviv University under Joseph Bernstein....
, all of whom work on the geometric Langlands program
Langlands program

The Langlands program is a web of far-reaching and influential conjectures that connect number theory and the group representation of certain group ....
. Other students are: Eitan Sayag, Kobi Kremnizer, Shamgar Gurevich, Ronny Hadani, Dmitry Gourevitch and Avraham Aizenbud all of them contribute to representation theory, algebraic geometry and their applications.

See also

  • Bernstein-Sato polynomial
  • BGG resolution


Publications

  • including and his notes on Meromorphic continuation of Eisenstein series
  • Beilinson, A. A.; Bernstein, J.; Deligne, P. Faisceaux pervers. (Perverse sheaves
    Perverse sheaf

    The mathematical term perverse sheaves refers to a certain abelian category associated to a topological space X, which may be a real or complex manifold, or a more general stratified space, usually singular....
    ) Analysis and topology on singular spaces, I (Luminy, 1981), 5-171, Astérisque, 100, Soc. Math. France, Paris, 1982.


External links