Elon Lindenstrauss ( he, אילון לינדנשטראוס, born August 1, 1970) is an Israeli
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.
Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change.
History
On ...
, and a winner of the 2010
Fields Medal
The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of the International Mathematical Union (IMU), a meeting that takes place every four years. The name of the award ho ...
.
Since 2004, he has been a professor at
Princeton University
Princeton University is a private university, private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial Colleges, fourth-oldest ins ...
. In 2009, he was appointed to Professor at the Mathematics Institute at the
Hebrew University
The Hebrew University of Jerusalem (HUJI; he, הַאוּנִיבֶרְסִיטָה הַעִבְרִית בִּירוּשָׁלַיִם) is a public research university based in Jerusalem, Israel. Co-founded by Albert Einstein and Dr. Chaim Weiz ...
.
Biography
Lindenstrauss was born into an Israeli-Jewish family with
German Jewish
The history of the Jews in Germany goes back at least to the year 321, and continued through the Early Middle Ages (5th to 10th centuries CE) and High Middle Ages (''circa'' 1000–1299 CE) when Jewish immigrants founded the Ashkenazi Jewish ...
origins. He was also born into a mathematical family, the son of the mathematician
Joram Lindenstrauss
Joram Lindenstrauss ( he, יורם לינדנשטראוס) (October 28, 1936 – April 29, 2012) was an Israeli mathematician working in functional analysis. He was a professor of mathematics at the Einstein Institute of Mathematics.
Biograph ...
, the namesake of the
Johnson–Lindenstrauss lemma In mathematics, the Johnson–Lindenstrauss lemma is a result named after William B. Johnson and Joram Lindenstrauss concerning low-distortion embeddings of points from high-dimensional into low-dimensional Euclidean space. The lemma states that a ...
, and computer scientist
Naomi Lindenstrauss
Naomi or Naomie may refer to:
People and biblical figures
* Naomi (given name), a female given name and a list of people with the name
* Naomi (biblical figure), Ruth's mother-in-law in the Old Testament Book of Ruth
* Naomi (Romanian singer) (bo ...
, both professors at the
Hebrew University of Jerusalem
The Hebrew University of Jerusalem (HUJI; he, הַאוּנִיבֶרְסִיטָה הַעִבְרִית בִּירוּשָׁלַיִם) is a public research university based in Jerusalem, Israel. Co-founded by Albert Einstein and Dr. Chaim Weiz ...
. His sister Ayelet Lindenstrauss is also a mathematician. He attended the
Hebrew University Secondary School
Hebrew University High School ( he, התיכון ליד האוניברסיטה), commonly known as ''Leyada'' (literally "next to"), is a semi-private high school in West Jerusalem, established in 1935 by the Hebrew University of Jerusalem. The ...
. In 1988 he was awarded a bronze medal at the International Mathematical Olympiad. He enlisted to the
IDF
IDF or idf may refer to:
Defence forces
* Irish Defence Forces
* Israel Defense Forces
*Iceland Defense Force, of the US Armed Forces, 1951-2006
* Indian Defence Force, a part-time force, 1917
Organizations
* Israeli Diving Federation
* Interac ...
's
Talpiot program
Talpiot program ( he, תוכנית תלפיות) is an elite Israeli Defense Forces (IDF) training program for recruits who have demonstrated outstanding academic ability in the sciences and leadership potential. Graduates pursue double higher edu ...
, and studied at the
Hebrew University of Jerusalem
The Hebrew University of Jerusalem (HUJI; he, הַאוּנִיבֶרְסִיטָה הַעִבְרִית בִּירוּשָׁלַיִם) is a public research university based in Jerusalem, Israel. Co-founded by Albert Einstein and Dr. Chaim Weiz ...
, where he earned his BSc in
Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
and
Physics
Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which r ...
in 1991 and his master's degree in mathematics in 1995. In 1999 he finished his Ph.D., his thesis being "Entropy properties of dynamical systems", under the guidance of Prof. Benjamin Weiss. He was a member at the
Institute for Advanced Study
The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholar ...
in
Princeton, New Jersey
Princeton is a municipality with a borough form of government in Mercer County, in the U.S. state of New Jersey. It was established on January 1, 2013, through the consolidation of the Borough of Princeton and Princeton Township, both of whi ...
, then a Szego Assistant Prof. at
Stanford University
Stanford University, officially Leland Stanford Junior University, is a private research university in Stanford, California. The campus occupies , among the largest in the United States, and enrolls over 17,000 students. Stanford is consider ...
. From 2003 to 2005, he was a Long Term Prize Fellow at the
Clay Mathematics Institute
The Clay Mathematics Institute (CMI) is a private, non-profit foundation (nonprofit), foundation dedicated to increasing and disseminating mathematics, mathematical knowledge. Formerly based in Peterborough, New Hampshire, the corporate address i ...
.
In Fall 2014, he was Visiting Miller Professor at the
University of California, Berkeley
The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public land-grant research university in Berkeley, California. Established in 1868 as the University of California, it is the state's first land-grant u ...
. Lindenstrauss is an editor for
Duke Mathematical Journal
''Duke Mathematical Journal'' is a peer-reviewed mathematics journal published by Duke University Press. It was established in 1935. The founding editors-in-chief were David Widder, Arthur Coble, and Joseph Miller Thomas
Joseph Miller Thomas (16 ...
and
Journal d'Analyse Mathématique
The ''Journal d'Analyse Mathématique'' is a triannual peer-reviewed scientific journal published by Magnes Press (Hebrew University of Jerusalem). It was established in 1951 by Binyamin Amirà. It covers research in mathematics, especially classi ...
.
Research
Lindenstrauss works in the area of dynamics, particularly in the area of
ergodic theory
Ergodic theory (Greek: ' "work", ' "way") is a branch of mathematics that studies statistical properties of deterministic dynamical systems; it is the study of ergodicity. In this context, statistical properties means properties which are expres ...
and its applications in
number theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777 ...
. With
Anatole Katok
Anatoly Borisovich Katok (russian: Анатолий Борисович Каток; August 9, 1944 – April 30, 2018) was an American mathematician with Russian-Jewish origins. Katok was the director of the Center for Dynamics and Geometry at the ...
and
Manfred Einsiedler
Manfred Leopold Einsiedler is an Austrian mathematician who studies ergodic theory. He was born in Scheibbs, Austria in 1973.
Education and career
Einsiedler studied mathematics at the University of Vienna, where he received his undergraduate d ...
, he made progress on the
Littlewood conjecture.
In a series of two papers (one co-authored with
Jean Bourgain
Jean, Baron Bourgain (; – ) was a Belgian mathematician. He was awarded the Fields Medal in 1994 in recognition of his work on several core topics of mathematical analysis such as the geometry of Banach spaces, harmonic analysis, ergodic t ...
) he made major progress on
Peter Sarnak
Peter Clive Sarnak (born 18 December 1953) is a South African-born mathematician with dual South-African and American nationalities. Sarnak has been a member of the permanent faculty of the School of Mathematics at the Institute for Advanced St ...
's Arithmetic Quantum Unique Ergodicity conjecture. The proof of the conjecture was completed by
Kannan Soundararajan
Kannan Soundararajan (born December 27, 1973) is an India-born American mathematician and a professor of mathematics at Stanford University. Before moving to Stanford in 2006, he was a faculty member at University of Michigan where he pursued hi ...
.
Recently with
Manfred Einsiedler
Manfred Leopold Einsiedler is an Austrian mathematician who studies ergodic theory. He was born in Scheibbs, Austria in 1973.
Education and career
Einsiedler studied mathematics at the University of Vienna, where he received his undergraduate d ...
,
Philippe Michel and
Akshay Venkatesh
Akshay Venkatesh (born 21 November 1981) is an Australian mathematician and a professor (since 15 August 2018) at the School of Mathematics at the Institute for Advanced Study. His research interests are in the fields of counting, equidistribu ...
, he studied distributions of torus periodic orbits in some arithmetic spaces, generalizing theorems by
Hermann Minkowski
Hermann Minkowski (; ; 22 June 1864 – 12 January 1909) was a German mathematician and professor at Königsberg, Zürich and Göttingen. He created and developed the geometry of numbers and used geometrical methods to solve problems in number t ...
and
Yuri Linnik
Yuri Vladimirovich Linnik (russian: Ю́рий Влади́мирович Ли́нник; January 8, 1915 – June 30, 1972) was a Soviet mathematician active in number theory, probability theory and mathematical statistics.
Linnik was born in B ...
.
Together with
Benjamin Weiss
Benjamin Weiss ( he, בנימין ווייס; born 1941) is an American-Israeli mathematician known for his contributions
to ergodic theory, topological dynamics, probability theory, game theory, and descriptive set theory.
Biography
Benjamin ( ...
he developed and studied systematically the invariant of
mean dimension introduced in 1999 by
Mikhail Gromov. In related work he introduced and studied the
small boundary property and stated
fundamental conjectures.
Among his co-authors are
Jean Bourgain
Jean, Baron Bourgain (; – ) was a Belgian mathematician. He was awarded the Fields Medal in 1994 in recognition of his work on several core topics of mathematical analysis such as the geometry of Banach spaces, harmonic analysis, ergodic t ...
,
Manfred Einsiedler
Manfred Leopold Einsiedler is an Austrian mathematician who studies ergodic theory. He was born in Scheibbs, Austria in 1973.
Education and career
Einsiedler studied mathematics at the University of Vienna, where he received his undergraduate d ...
,
Philippe Michel,
Shahar Mozes
Shahar Mozes (שחר מוזס) is an Israeli mathematician.
Mozes received in 1991, his doctorate from the Hebrew University of Jerusalem with thesis ''Actions of Cartan subgroups'' under the supervision of Hillel Fürstenberg. (doctoral dissert ...
,
Akshay Venkatesh
Akshay Venkatesh (born 21 November 1981) is an Australian mathematician and a professor (since 15 August 2018) at the School of Mathematics at the Institute for Advanced Study. His research interests are in the fields of counting, equidistribu ...
and
Barak Weiss
Barak ( or ; he, בָּרָק; Tiberian Hebrew: '' Bārāq''; ar, البُراق ''al-Burāq'' "lightning") was a ruler of Ancient Israel. As military commander in the biblical Book of Judges, Barak, with Deborah, from the Tribe of Ephraim, ...
.
Awards
*In 1988, Lindenstrauss represented Israel in the
International Mathematical Olympiad
The International Mathematical Olympiad (IMO) is a mathematical olympiad for pre-university 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 i ...
and won a bronze medal.
*During his service in the
IDF
IDF or idf may refer to:
Defence forces
* Irish Defence Forces
* Israel Defense Forces
*Iceland Defense Force, of the US Armed Forces, 1951-2006
* Indian Defence Force, a part-time force, 1917
Organizations
* Israeli Diving Federation
* Interac ...
, he was awarded the
Israel Defense Prize
The Israel Defense Prize (Hebrew: פרס בטחון ישראל), also known as the Israel Defense Award is an award presented annually by the President of Israel to people and organizations who made significant contributions to the defense of the ...
.
*In 2003, he was awarded the
Salem Prize jointly with
Kannan Soundararajan
Kannan Soundararajan (born December 27, 1973) is an India-born American mathematician and a professor of mathematics at Stanford University. Before moving to Stanford in 2006, he was a faculty member at University of Michigan where he pursued hi ...
.
*In 2004, he was awarded the
European Mathematical Society
The European Mathematical Society (EMS) 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. The current ...
Prize.
*In 2008, he received the
Michael Bruno Memorial Award.
*In 2009, he was awarded the
Erdős Prize
The Anna and Lajos Erdős Prize in Mathematics is a prize given by the Israel Mathematical Union to an Israeli mathematician (in any field of mathematics and computer science), "with preference to candidates up to the age of 40." The prize was e ...
.
*In 2009, he received the
Fermat Prize
The Fermat prize of mathematical research biennially 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
* Numb ...
.
*In 2010, he became the first Israeli to be awarded the
Fields Medal
The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of the International Mathematical Union (IMU), a meeting that takes place every four years. The name of the award ho ...
, ''for his results on measure rigidity in
ergodic theory
Ergodic theory (Greek: ' "work", ' "way") is a branch of mathematics that studies statistical properties of deterministic dynamical systems; it is the study of ergodicity. In this context, statistical properties means properties which are expres ...
, and their applications to
number theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777 ...
''.
References
External links
Homepage at Hebrew University*
*
{{DEFAULTSORT:Lindenstrauss, Elon
1970 births
Living people
20th-century Israeli mathematicians
21st-century Israeli mathematicians
Dynamical systems theorists
Fields Medalists
Institute for Advanced Study visiting scholars
Einstein Institute of Mathematics alumni
Hebrew University of Jerusalem faculty
International Mathematical Olympiad participants
Israel Defense Prize recipients
Israeli Jews
Israeli people of German-Jewish descent
Scientists from Jerusalem
Princeton University faculty
Erdős Prize recipients