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 h ...

. Since 2004, he has been a professor at

Princeton University Princeton University is a private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the ...

. 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 university, public research university based in Jerusalem, Israel. Co-founded by Albert Einstein ...

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. Biogra ...

, the namesake of the Johnson–Lindenstrauss lemma, 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) (bor ...

, 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 *Interaction ...

's Talpiot program, and studied at the

, 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 ...

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 schola ...

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 w ...

, 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 conside ...

. 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 dedicated to increasing and disseminating mathematical knowledge. Formerly based in Peterborough, New Hampshire, the corporate address is now in Denver, Colorado. CMI's sc ...

. 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 un ...

. 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 included ...

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 expr ...

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 integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Ma ...

. 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 the ...

) 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. Recently with

, 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, equidistri ...

, 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 In mathematics, the mean (topological) dimension of a topological dynamical system is a non-negative extended real number that is a measure of the complexity of the system. Mean dimension was first introduced in 1999 by Gromov. Shortly after it wa ...

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

, 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 disserta ...

and Barak Weiss.

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, excep ...

and won a bronze medal. *During his service in the

, he was awarded the Israel Defense Prize. *In 2003, he was awarded the

Salem Prize The Salem Prize, in memory of Raphael Salem, is awarded each year to young researchers for outstanding contributions to the field of analysis. It is awarded by the School of Mathematics at the Institute for Advanced Study in Princeton and was fou ...

jointly with Kannan Soundararajan. *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 The Israel Mathematical Union (IMU) ( he, הַאִיגּוּד הַיִשְׂרְאֵלִי לְמָתֶמָטִיקָה) is an association of pr ...

. *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 * Numbe ...

. *In 2010, he became the first Israeli to be awarded the

, ''for his results on measure rigidity in

, and their applications to

''.

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