Elon Lindenstrauss
Encyclopedia
Elon Lindenstrauss is an Israel
i mathematician
, and a winner of the 2010 Fields Medal
.
Since 2004, he has been a professor at Princeton University
. In 2009, he was appointed to Professor at the Mathematics Institute at the Hebrew University.
, he studied at the Hebrew University, where he earned his BSc in Mathematics
and Physics
in 1991 and his Master's degree in Mathematics in 1995. In 1999 he finished his Ph.D. (his thesis: "Entropy properties of dynamical systems" under the guidance of Prof. Benjamin Weiss). He was a member at the Institute for Advanced Study
in Princeton, New Jersey
, then a Szego Assistant Prof. at Stanford University
. From 2003 to 2005, he was a Long Term Prize Fellow at the Clay Mathematics Institute
.
Lindenstrauss is the son of the mathematician Joram Lindenstrauss
, the namesake of the Johnson–Lindenstrauss lemma
.
and its applications in number theory
, with Anatole Katok and Manfred Einsiedler he made progress on proving the Littlewood conjecture.
In a series of two papers (one co-authored with Jean Bourgain
) he proved Peter Sarnak
's Arithmetic Quantum Unique Ergodicity conjecture.
Recently with Manfred Einsiedler, Philippe Michel and Akshay Venkatesh
, he studied distributions of torus periodic orbits in some arithmetic spaces, generalizing theorems by Hermann Minkowski
and Yuri Linnik
.
Among his co-authors are Jean Bourgain
, Manfred Einsiedler, Philippe Michel, Shahar Mozes, Akshay Venkatesh
and Barak Weiss.
Israel
The State of Israel is a parliamentary republic located in the Middle East, along the eastern shore of the Mediterranean Sea...
i mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
, and a winner of the 2010 Fields Medal
Fields Medal
The Fields Medal, officially known as International Medal for Outstanding Discoveries in Mathematics, is a prize awarded to two, three, or four mathematicians not over 40 years of age at each International Congress of the International Mathematical Union , a meeting that takes place every four...
.
Since 2004, he has been a professor at Princeton University
Princeton University
Princeton University is a private research university located in Princeton, New Jersey, United States. The school is one of the eight universities of the Ivy League, and is one of the nine Colonial Colleges founded before the American Revolution....
. In 2009, he was appointed to Professor at the Mathematics Institute at the Hebrew University.
Biography
Lindenstrauss enlisted to the Talpiot programTalpiot program
Talpiot program is an elite Israel Defense Forces training program for young people who have demonstrated outstanding academic ability in the sciences, physics and mathematics. Graduates of the Talpiot program pursue higher education while serving in the army, and then utilize their expertise to...
, he studied at the Hebrew University, where he earned his BSc in Mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
and Physics
Physics
Physics is a natural science that involves the study of matter and its motion through spacetime, along with related concepts such as energy and force. More broadly, it is the general analysis of nature, conducted in order to understand how the universe behaves.Physics is one of the oldest academic...
in 1991 and his Master's degree in Mathematics in 1995. In 1999 he finished his Ph.D. (his thesis: "Entropy properties of dynamical systems" under the guidance of Prof. Benjamin Weiss). He was a member at the Institute for Advanced Study
Institute for Advanced Study
The Institute for Advanced Study, located in Princeton, New Jersey, United States, is an independent postgraduate center for theoretical research and intellectual inquiry. It was founded in 1930 by Abraham Flexner...
in Princeton, New Jersey
Princeton, New Jersey
Princeton is a community located in Mercer County, New Jersey, United States. It is best known as the location of Princeton University, which has been sited in the community since 1756...
, then a Szego Assistant Prof. at Stanford University
Stanford University
The Leland Stanford Junior University, commonly referred to as Stanford University or Stanford, is a private research university on an campus located near Palo Alto, California. It is situated in the northwestern Santa Clara Valley on the San Francisco Peninsula, approximately northwest of San...
. From 2003 to 2005, he was a Long Term Prize Fellow at the Clay Mathematics Institute
Clay Mathematics Institute
The Clay Mathematics Institute is a private, non-profit foundation, based in Cambridge, Massachusetts. The Institute is dedicated to increasing and disseminating mathematical knowledge. It gives out various awards and sponsorships to promising mathematicians. The institute was founded in 1998...
.
Lindenstrauss is the son of the mathematician Joram Lindenstrauss
Joram Lindenstrauss
Joram Lindenstrauss is an Israeli mathematician working in functional analysis. He is professor emeritus of mathematics at the Einstein Institute of Mathematics, Hebrew University of Jerusalem, Israel.-Biography:...
, the namesake of the Johnson–Lindenstrauss lemma
Johnson–Lindenstrauss lemma
In mathematics, the Johnson–Lindenstrauss lemma is a result concerning low-distortion embeddings of points from high-dimensional into low-dimensional Euclidean space. The lemma states that a small set of points in a high-dimensional space can be embedded into a space of much lower dimension in such...
.
Research
Lindenstrauss works in the area of dynamics, particularly in the area of ergodic theoryErgodic theory
Ergodic theory is a branch of mathematics that studies dynamical systems with an invariant measure and related problems. Its initial development was motivated by problems of statistical physics....
and its applications in number theory
Number theory
Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers as well...
, with Anatole Katok and Manfred Einsiedler he made progress on proving the Littlewood conjecture.
In a series of two papers (one co-authored with Jean Bourgain
Jean Bourgain
Jean Bourgain is a Belgian mathematician. He has been a faculty member at the University of Illinois, Urbana-Champaign and, from 1985 until 1995, professor at Institut des Hautes Études Scientifiques at Bures-sur-Yvette in France, and since 1994 at the Institute for Advanced Study in Princeton,...
) he proved Peter Sarnak
Peter Sarnak
Peter Clive Sarnak is a South African-born mathematician. He has been Eugene Higgins Professor of Mathematics at Princeton University since 2002, succeeding Andrew Wiles, and is an editor of the Annals of Mathematics...
's Arithmetic Quantum Unique Ergodicity conjecture.
Recently with Manfred Einsiedler, Philippe Michel and Akshay Venkatesh
Akshay Venkatesh
Akshay Venkatesh is an Indian Australian mathematician. His research interests are in the fields of counting, equidistribution problems in automorphic forms and number theory, in particular representation theory, locally symmetric spaces and ergodic theory...
, he studied distributions of torus periodic orbits in some arithmetic spaces, generalizing theorems by Hermann Minkowski
Hermann Minkowski
Hermann Minkowski was a German mathematician of Ashkenazi Jewish descent, who created and developed the geometry of numbers and who used geometrical methods to solve difficult problems in number theory, mathematical physics, and the theory of relativity.- Life and work :Hermann Minkowski was born...
and Yuri Linnik
Yuri Linnik
Yuri Vladimirovich Linnik was a Soviet mathematician active in number theory, probability theory and mathematical statistics.Linnik was born in Bila Tserkva, in present-day Ukraine. He went to St Petersburg University where his supervisor was Vladimir Tartakovski, and later worked at that...
.
Among his co-authors are Jean Bourgain
Jean Bourgain
Jean Bourgain is a Belgian mathematician. He has been a faculty member at the University of Illinois, Urbana-Champaign and, from 1985 until 1995, professor at Institut des Hautes Études Scientifiques at Bures-sur-Yvette in France, and since 1994 at the Institute for Advanced Study in Princeton,...
, Manfred Einsiedler, Philippe Michel, Shahar Mozes, Akshay Venkatesh
Akshay Venkatesh
Akshay Venkatesh is an Indian Australian mathematician. His research interests are in the fields of counting, equidistribution problems in automorphic forms and number theory, in particular representation theory, locally symmetric spaces and ergodic theory...
and Barak Weiss.
Awards
- In 1988, Lindenstrauss represented Israel in the International Mathematical OlympiadInternational Mathematical OlympiadThe International Mathematical Olympiad is an annual six-problem, 42-point mathematical olympiad for pre-collegiate students and is the oldest of the International Science Olympiads. The first IMO was held in Romania in 1959. It has since been held annually, except in 1980...
and won a bronze medal. - During his service in the IDFIsrael Defense ForcesThe Israel Defense Forces , commonly known in Israel by the Hebrew acronym Tzahal , are the military forces of the State of Israel. They consist of the ground forces, air force and navy. It is the sole military wing of the Israeli security forces, and has no civilian jurisdiction within Israel...
, he was awarded the Israel Defense PrizeIsrael Defense PrizeThe Israel Defense Prize, in honor of Eliyahu Golomb, is a prize awarded annually to people and organizations who made significant contributions to the defense of the State of Israel....
. - In 2003, he was awarded the Salem PrizeSalem PrizeThe Salem Prize, founded by the widow of Raphael Salem, is awarded every year to a young mathematician judged to have done outstanding work in Salem's field of interest, primarily the theory of Fourier series.-Past winners:...
jointly with Kannan SoundararajanKannan SoundararajanKannan Soundararajan is an Indian mathematician. He currently is a professor of mathematics at Stanford University. Before moving to Stanford in 2006, he was a faculty at University of Michigan where he pursued his undergraduate studies...
. - In 2004, he was awarded the European Mathematical SocietyEuropean Mathematical SocietyThe European Mathematical Society is a European organization dedicated to the development of mathematics in Europe. Its members are different mathematical societies in Europe, academic institutions and individual mathematicians...
Prize. - In 2008, he received the Michael BrunoMichael BrunoMichael Peter Bruno was an Israeli economist. He was a governor of Israel's central bank and a former World Bank Chief Economist.-Biography:...
Memorial Award. - In 2009, he was awarded the Erdos PrizeErdős Prize- References :*...
. - In 2009, he received the Fermat PrizeFermat PrizeThe Fermat prize of mathematical research rewards research works in fields where the contributions of Pierre de Fermat have been decisive:* Statements of variational principles* Foundations of probability and analytic geometry* Number theory....
. - In 2010, he became the first Israeli to be awarded the Fields MedalFields MedalThe Fields Medal, officially known as International Medal for Outstanding Discoveries in Mathematics, is a prize awarded to two, three, or four mathematicians not over 40 years of age at each International Congress of the International Mathematical Union , a meeting that takes place every four...
, for his results on measure rigidity in ergodic theoryErgodic theoryErgodic theory is a branch of mathematics that studies dynamical systems with an invariant measure and related problems. Its initial development was motivated by problems of statistical physics....
, and their applications to number theoryNumber theoryNumber theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers as well...
.