乔治·卢斯蒂格1946—

生平

卢斯蒂格生于罗马尼亚蒂米什瓦拉，1968年从布加勒斯特大学本科毕业，之后前往英国沃威克大学和牛津大学进修。1969年移居美国，与新泽西州普林斯顿普林斯顿高等研究院的迈克尔·阿蒂亚进行两年的合作。他早期研究椭圆算子的指标定理，后来凭借此课题，在威廉·布劳德和迈克尔·阿蒂亚的指导下拿到普林斯顿大学博士学位。

就职于沃威克大学的七年间，卢斯蒂格历任研究员（1971-72）、数学讲师（1972-74）和数学教授（1974-78），1978年获麻省理工学院教席。

卢斯蒂格最知名的研究是表示论，特别是与代数群相关的对象方面，比如李型群、黑克代数、P进数群、量子群和魏尔群等方面。这些研究提出了新的基础概念，包括矩阵等价、德利涅-卢斯蒂格定理和卡日丹-卢斯蒂格多项式。

1983年，卢斯蒂格当选皇家学会会员、1985年获得柯尔奖。1992年当选美国国家科学院院士，1999年获布劳维尔奖章，2008年获勒罗伊·斯蒂尔奖数学终生成就奖。2012年当选美国数学学会会员。2014年获邵逸夫奖数学奖。

George Lusztig (born Gheorghe Lusztig, May 20, 1946) is a Romanian-born Hungarian-American mathematician and Abdun Nur professor at the Massachusetts Institute of Technology (MIT). He was a Norbert Wiener professor in the Department of Mathematics from 1999 to 2009.

Education and career

Born in Timișoara to a Hungarian-Jewish family, he did his undergraduate studies at the University of Bucharest, graduating in 1968. Later that year he left Romania for the United Kingdom, where he spent several months at the University of Warwick and Oxford University. In 1969 he moved to the United States, where he went to work for two years with Michael Atiyah at the Institute for Advanced Study in Princeton, New Jersey. He received his PhD in mathematics in 1971 after completing a doctoral dissertation, titled "Novikov's higher signature and families of elliptic operators", under the supervision of William Browder and Michael Atiyah.

Lusztig worked for almost seven years at the University of Warwick. His involvement at the university encompassed a Research Fellowship, (1971–72); lecturer in Mathematics, (1972–74); and Professor of Mathematics, (1974–78). In 1978, he accepted a chair at MIT.

Contributions

He is known for his work on representation theory, in particular for the objects closely related to algebraic groups, such as finite reductive groups, Hecke algebras, p -adic groups, quantum groups, and Weyl groups. He essentially paved the way for modern representation theory. This has included fundamental new concepts, including the character sheaves, the Deligne–Lusztig varieties, and the Kazhdan–Lusztig polynomials.

Awards and honors

In 1983, Lusztig was elected as a fellow of the Royal Society. In 1985, Lusztig won the Cole Prize (Algebra). He was elected to the National Academy of Sciences in 1992. He received the Brouwer Medal in 1999, the National Order of Faithful Service in 2003 and the Leroy P. Steele Prize for Lifetime Achievement in Mathematics in 2008. In 2012, he became a fellow of the American Mathematical Society and in 2014, he received the Shaw Prize in Mathematics. In 2022, he received the Wolf Prize in Mathematics. In 2024, he received the Gold Medal of the UVT (Western University of Timisoara). In 2025, he received the Basic Science Lifetime Award.