埃隆·林登施特劳斯1970—

生平

出生于以色列耶路撒冷城。获得以色列耶路撒冷希伯来大学数学和物理学理学学士学位、数学硕士学位（1995年）。完成硕士学位后，在以色列国防部服兵役，期间获得以色列国防奖（Israel Defense Prize）。1999年，在希伯来大学完成博士论文，论文课题“Entropy properties of dynamical systems”，博士导师本杰明·魏兹教授（Prof. Benjamin Weiss）。

完成博士论文后，埃隆前往美国普林斯顿高等研究所从事数学研究，之后来到美国加州，成为斯坦福大学助理教授。2003年至2005年，是克雷数学研究所研究员。2004年，成为普林斯顿大学教授。2009年，成为希伯来大学数学教授。

荣誉

1988年：国际数学奥林匹克竞赛，铜牌（代表以色列国家队参赛）；

2003年：塞勒姆奖（和印度数学家卡纳安·桑德拉让一同获得）；

2004年：欧洲数学会奖（European Mathematical Society Prize）

2008年：布鲁诺纪念奖（Michael Bruno Memorial Award）

2009年：厄尔多斯奖

2009年：费尔马奖

2010年：菲尔兹奖（在印度海得拉巴举行的国际数学家大会上获得），时年40岁。

Elon Lindenstrauss (Hebrew: אילון לינדנשטראוס; born August 1, 1970) is an Israeli mathematician, and a winner of the 2010 Fields Medal.

Since 2004, he has been a professor at Princeton University. In 2009, he was appointed as a Professor at the Einstein Institute of Mathematics at the Hebrew University. In 2024 he was appointed a permanent faculty member in the School of Mathematics of the Institute for Advanced Study.

Biography

Lindenstrauss was born into an Israeli-Jewish family with German Jewish origins, 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 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 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.

Academic career

In Fall 2014, he was a Visiting Miller Professor at the University of California, Berkeley. Lindenstrauss is an editor for Duke Mathematical Journal and Journal d'Analyse Mathématique.

Lindenstrauss works in the area of dynamics, particularly in the area of ergodic theory and its applications in number theory. 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) he made major progress on Peter Sarnak's Arithmetic Quantum Unique Ergodicity conjecture. The proof of the conjecture was completed by Kannan Soundararajan.

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.

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 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.

In 2004, he was awarded the European Mathematical Society 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 number theory.