Elon Lindenstrauss (; 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, mathematical structure, structure, space, Mathematica ...
, 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 Mathematicians, International Congress of the International Mathematical Union (IMU), a meeting that takes place e ...
.
Since 2004, he has been a professor at
Princeton University
Princeton University is a private university, private Ivy League research university in Princeton, New Jersey, United States. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial ...
. In 2009, he was appointed as a Professor at the
Einstein Institute of Mathematics at the
Hebrew University
The Hebrew University of Jerusalem (HUJI; ) is an Israeli public research university based in Jerusalem. Co-founded by Albert Einstein and Chaim Weizmann in July 1918, the public university officially opened on 1 April 1925. It is the second-ol ...
. In 2024 he was appointed a permanent faculty member in the School of Mathematics of the
Institute for Advanced Study
The Institute for Advanced Study (IAS) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey. It has served as the academic home of internationally preeminent scholars, including Albert Ein ...
.
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 CE, and continued through the Early Middle Ages (5th to 10th centuries CE) and High Middle Ages (c. 1000–1299 CE) when Jewish immigrants founded the Ashkenazi Jewish commu ...
origins, the son of the mathematician
Joram Lindenstrauss, 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 ...
, and computer scientist Naomi Lindenstrauss, both professors at the
Hebrew University of Jerusalem
The Hebrew University of Jerusalem (HUJI; ) is an Israeli public university, public research university based in Jerusalem. Co-founded by Albert Einstein and Chaim Weizmann in July 1918, the public university officially opened on 1 April 1925. ...
. His sister Ayelet Lindenstrauss is also a mathematician. He attended the
Hebrew University Secondary School. In 1988 he was awarded a bronze medal at the International Mathematical Olympiad. He enlisted to the
IDF's
Talpiot program and studied at the
Hebrew University of Jerusalem
The Hebrew University of Jerusalem (HUJI; ) is an Israeli public university, public research university based in Jerusalem. Co-founded by Albert Einstein and Chaim Weizmann in July 1918, the public university officially opened on 1 April 1925. ...
, where he earned his BSc in
Mathematics
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
and
Physics
Physics is the scientific study of matter, its Elementary particle, 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 whi ...
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) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey. It has served as the academic home of internationally preeminent scholars, including Albert Ein ...
in
Princeton, New Jersey
The Municipality of Princeton is a Borough (New Jersey), borough in Mercer County, New Jersey, United States. It was established on January 1, 2013, through the consolidation of the Borough of Princeton, New Jersey, Borough of Princeton and Pri ...
, then a Szego Assistant Prof. at
Stanford University
Leland Stanford Junior University, commonly referred to as Stanford University, is a Private university, private research university in Stanford, California, United States. It was founded in 1885 by railroad magnate Leland Stanford (the eighth ...
. From 2003 to 2005, he was a Long Term Prize Fellow at the
Clay Mathematics Institute.
Academic career
In Fall 2014, he was a Visiting Miller Professor at the
University of California, Berkeley
The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California), is a Public university, public Land-grant university, land-grant research university in Berkeley, California, United States. Founded in 1868 and named after t ...
. 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. The first issue inclu ...
and
Journal d'Analyse Mathématique
The ''Journal d'Analyse Mathématique'' is a triannual peer-reviewed scientific journal published by Springer Science+Business Media on behalf of Magnes Press (Hebrew University of Jerusalem). It was established in 1951 by Binyamin Amirà.
The jo ...
.
Lindenstrauss works in the area of dynamics, particularly in the area of
ergodic theory
Ergodic theory is a branch of mathematics that studies statistical properties of deterministic dynamical systems; it is the study of ergodicity. In this context, "statistical properties" refers to properties which are expressed through the behav ...
and its applications in
number theory
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example ...
. With
Anatole Katok and
Manfred Einsiedler, he made progress on the
Littlewood conjecture.
In a series of two papers (one co-authored with
Jean Bourgain
Jean Louis, 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, ergodi ...
) he made major progress on
Peter Sarnak's Arithmetic Quantum Unique Ergodicity conjecture. The proof of the conjecture was completed by
Kannan Soundararajan
Kannan Soundararajan (born December 27, 1973) is an Indian-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 had also ...
.
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
Hermann Minkowski (22 June 1864 – 12 January 1909) was a mathematician and professor at the University of Königsberg, the University of Zürich, and the University of Göttingen, described variously as German, Polish, Lithuanian-German, o ...
and
Yuri Linnik
Yuri Vladimirovich Linnik (; January 8, 1915 – June 30, 1972) was a Soviet mathematician active in number theory, probability theory and mathematical statistics.
Biography
Linnik was born in Bila Tserkva, in present-day Ukraine. He went to ...
.
Together with
Benjamin Weiss 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.
Awards and recognition
*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. It is widely regarded as the most prestigious mathematical competition in the wor ...
and won a bronze medal.
*During his service in the
IDF, he was awarded the
Israel Defense Prize.
*In 2003, he was awarded the
Salem Prize jointly with
Kannan Soundararajan
Kannan Soundararajan (born December 27, 1973) is an Indian-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 had also ...
.
*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 curren ...
Prize.
*In 2008, he received the
Michael Bruno Michael Bruno may refer to:
* Michael Bruno (economist) (1932–1996), Israeli economist
* Michael Bruno (entrepreneur), American entrepreneur
* Kalani Das (born Michael Bruno), American percussionist, author and educator
* Michael-Bruno ...
Memorial Award.
*In 2009, he was awarded the
Erdős Prize.
*In 2009, he received the
Fermat Prize
The Fermat prize of mathematics, 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 geo ...
.
*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 Mathematicians, International Congress of the International Mathematical Union (IMU), a meeting that takes place e ...
, ''for his results on measure rigidity in
ergodic theory
Ergodic theory is a branch of mathematics that studies statistical properties of deterministic dynamical systems; it is the study of ergodicity. In this context, "statistical properties" refers to properties which are expressed through the behav ...
, and their applications to
number theory
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example ...
''.
See also
*
List of second-generation Mathematicians
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
Institute for Advanced Study faculty
Einstein Institute of Mathematics alumni
Academic staff of the Hebrew University of Jerusalem
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
Talpiot program alumni
Hebrew University Secondary School alumni