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, mathematical structure, structure, space, Mathematica ...

, and a winner of the 2010 Fields Medal. 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 n ...

. 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 origins. He was also born into a mathematical family, the son of the mathematician Joram Lindenstrauss, the namesake of the Johnson–Lindenstrauss lemma, and computer scientist Naomi Lindenstrauss, both professors at the Hebrew University of Jerusalem. 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, where he earned his BSc in 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 rel ...

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 ...

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. 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 u ...

. Lindenstrauss is an editor for Duke Mathematical Journal and Journal d'Analyse Mathématique.

Research

Lindenstrauss works in the area of dynamics, particularly in the area of ergodic theory 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, "Math ...

. 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, 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'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 ...

. 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 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 numb ...

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 ...

. Together with Benjamin Weiss 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 was ...

introduced in 1999 by Mikhail Gromov. In related work he introduced and studied the

small boundary property In mathematics, the small boundary property is a property of certain topological dynamical systems. It is dynamical analog of the inductive definition of Lebesgue covering dimension zero. Definition Consider the category of topological dynamica ...

and stated fundamental conjectures. Among his co-authors are

, Manfred Einsiedler, Philippe Michel, Shahar Mozes, Akshay Venkatesh 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, except ...

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 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 fo ...

jointly with

. *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. *In 2009, he received the Fermat Prize. *In 2010, he became the first Israeli to be awarded the Fields Medal, ''for his results on measure rigidity in ergodic theory, 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