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David Kazhdan

 
David Kazhdan

 
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David Kazhdan
 
 
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David Kazhdan or Každan, Kajdan, formerly named Dmitri Aleksandrovich Kazhdan (until he left Soviet Union; ) is an Israel
Israel

Israel officially the State of Israel , is a country in the Middle East located on the eastern shore of the Mediterranean Sea. It borders Lebanon in the north, Syria in the northeast, Jordan in the east, and Egypt on the southwest, and contains geographically diverse features within its relatively small area....
i mathematician
Mathematician

A mathematician is a person whose primary area of study and/or research is the field of mathematics....
 known for work in 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....
.

dan was born in 1946 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....
, USSR. His father is Alexander Kazhdan
Alexander Kazhdan

Alexander Petrovich Kazhdan was one of the foremost Byzantine empire of the late 20th century....
. He earned a doctorate under Alexandre Kirillov
Alexandre Kirillov

Alexandre Aleksandrovich Kirillov is a Russian mathematician, renowned for his works in the fields of representation theory, topological groups and Lie groups....
 in 1969 and was a leading member of Israel Gelfand
Israel Gelfand

Isra?l Moiseevich Gelfand is a mathematician who has contributed substantially in different branches including Group Theory, Representation Theory, Linear Algebra etc....
's school of mathematics. He is Jewish
Jew

A Jew is a member of the Jewish people, an ethnoreligious group that traces its ancestry to the Israelites or Hebrews of the Ancient Near East....
, and emigrated from the Soviet Union to take a position at Harvard University
Harvard University

Harvard University is a private university in Cambridge, Massachusetts, Massachusetts, United States, and a member of the Ivy League. Founded in 1636 by the colonial Massachusetts legislature, Harvard is the Colonial Colleges institution of higher learning in the United States....
 in 1975.






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David Kazhdan or Každan, Kajdan, formerly named Dmitri Aleksandrovich Kazhdan (until he left Soviet Union; ) is an Israel
Israel

Israel officially the State of Israel , is a country in the Middle East located on the eastern shore of the Mediterranean Sea. It borders Lebanon in the north, Syria in the northeast, Jordan in the east, and Egypt on the southwest, and contains geographically diverse features within its relatively small area....
i mathematician
Mathematician

A mathematician is a person whose primary area of study and/or research is the field of mathematics....
 known for work in 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....
.

Life

Kazhdan was born in 1946 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....
, USSR. His father is Alexander Kazhdan
Alexander Kazhdan

Alexander Petrovich Kazhdan was one of the foremost Byzantine empire of the late 20th century....
. He earned a doctorate under Alexandre Kirillov
Alexandre Kirillov

Alexandre Aleksandrovich Kirillov is a Russian mathematician, renowned for his works in the fields of representation theory, topological groups and Lie groups....
 in 1969 and was a leading member of Israel Gelfand
Israel Gelfand

Isra?l Moiseevich Gelfand is a mathematician who has contributed substantially in different branches including Group Theory, Representation Theory, Linear Algebra etc....
's school of mathematics. He is Jewish
Jew

A Jew is a member of the Jewish people, an ethnoreligious group that traces its ancestry to the Israelites or Hebrews of the Ancient Near East....
, and emigrated from the Soviet Union to take a position at Harvard University
Harvard University

Harvard University is a private university in Cambridge, Massachusetts, Massachusetts, United States, and a member of the Ivy League. Founded in 1636 by the colonial Massachusetts legislature, Harvard is the Colonial Colleges institution of higher learning in the United States....
 in 1975. He changed his name from Dmitri Aleksandrovich to David and became an Orthodox Jew around that time.

In 2005 he immigrated to Israel and is a professor the Hebrew University of Jerusalem
Hebrew University of Jerusalem

The Hebrew University of Jerusalem is Israel's oldest university.The First Board of Governors included Albert Einstein, Sigmund Freud, Martin Buber, and Chaim Weizmann....
 and a professor emeritus
Professors in the United States

In the United States, the term professor refers to a group of educators at the higher education. In colloquial language, usage of the term may refer to any educator at the post-secondary level, yet a considerable percentage of post-secondary educators are hired as lecturers or instructors, not as professors....
 at Harvard.

Kazhdan has four children. His son, Eli Kazhdan, was director general of Natan Sharansky
Natan Sharansky

Natan Sharansky is a notable former Soviet Union dissident, Human rights activism, former Refusenik, Israeli politician and author.Sharansky is chairman of the Adelson Institute for Strategic Studies at the Shalem Center....
's Yisrael BaAliyah political party (now merged with Likud
Likud

Likud is the major center-right List of political parties in Israel in Israel. It was founded in 1973 by Menachem Begin, largely as the "direct ideological descendant" of the Herut, in an alliance with several other right-wing and liberal parties....
).

Research

He is known for many collaborations: with Israel Gelfand
Israel Gelfand

Isra?l Moiseevich Gelfand is a mathematician who has contributed substantially in different branches including Group Theory, Representation Theory, Linear Algebra etc....
, Victor Kac
Victor Kac

Victor G. Kac is an American mathematician at MIT, known for his work in representation theory. He discovered Kac?Moody algebras, and used the Weyl_character_formula#Weyl.E2.80.93Kac_character_formula for them to reprove the Macdonald identity....
, George Lusztig
George Lusztig

George Lusztig is a Romanian-born United States mathematician. He is a Norbert Wiener Professor at the MIT Mathematics Department, MIT.Born in Timisoara, he did his undergraduate studies at the University of Bucharest....
 (on an influential Kazhdan-Lusztig conjecture on Verma module
Verma module

Verma modules, named after Daya-Nand Verma, are objects in the representation theory of Lie algebras, a branch of mathematics.The definition of a Verma module looks complicated, but Verma modules are very natural objects, with useful properties....
s), with Grigory Margulis
Grigory Margulis

Gregori Aleksandrovich Margulis is a Russian mathematician known for his far-reaching work on lattice s in Lie groups, and the introduction of methods from ergodic theory into diophantine approximation....
 (Kazhdan-Margulis theorem), with Yuval Flicker
Yuval Flicker

Yuval Flicker is an American mathematician. His primary research interests include automorphic representations.He received his PhD degree from the University of Cambridge in 1978....
 and S. J. Patterson on the representations of metaplectic group
Metaplectic group

In mathematics, the metaplectic group Mp2n is a Double covering group of the symplectic group Sp2n. It can be defined over either real number or p-adic numbers numbers....
s. Kazhdan's property (T)
Kazhdan's property (T)

In mathematics, a locally compact topological group G has property if the trivial representation is an isolated point in its unitary dual equipped with the Spectrum of a C*-algebra....
 is now a much-studied aspect of representation theory.

Kazhdan held a MacArthur Fellowship from 1990 to 1995. One of his students was Vladimir Voevodsky
Vladimir Voevodsky

Vladimir Voevodsky is a Russians mathematician. His work in developing a homotopy theory for algebraic varieties and formulating motivic cohomology led to the award of a Fields Medal in 2002....
, a recipient of the Fields Medal
Fields Medal

The Fields Medal is a prize awarded to two, three, or four mathematicians not over 40 years of age at each International Congress of Mathematicians of the International Mathematical Union, a meeting that takes place every four years....
, a prize for young mathematicians of outstanding reputation. In 2008 Kazhdan was elected to the American Academy of Arts and Sciences
American Academy of Arts and Sciences

The American Academy of Arts and Sciences is an organization dedicated to scholarship and the advancement of learning. It serves as a nationwide honor society for the United States....
.

See also


  • Kazhdan-Lusztig polynomial


External links