| **41** | **Name: ** | Dr. Terence Tao | | **Institution: ** | University of California, Los Angeles | | **Year Elected: ** | 2012 | | **Class: ** | 1. Mathematical and Physical Sciences | | **Subdivision: ** | 104. Mathematics | | **Residency: ** | Resident | | **Living? : ** |
Living
| | **Birth Date: ** | 1975 | | | | | Terence Tao was born in Adelaide, Australia in 1975. He has been a professor of mathematics at UCLA since 1999, having completed his PhD under Elias Stein at Princeton in 1996. Tao's areas of research include harmonic analysis, PDE, combinatorics, and number theory. He has received a number of awards, including the Salem Prize in 2000, the Bochner Prize in 2002, the Fields Medal and SASTRA Ramanujan Prize in 2006, the MacArthur Fellowship and Ostrowski Prize in 2007, and the Waterman Award in 2008. Terence Tao also currently holds the James and Carol Collins chair in mathematics at UCLA, and is a Fellow of the Royal Society, the Australian Academy of Sciences (Corresponding Member), the National Academy of Sciences (Foreign member), and the American Academy of Arts and Sciences. He was named a Simons Investigator in 2012 by the Simons Foundation and was awarded the Crafoord Prize in Mathematics that same year. In 2014 he was awarded the Breakthrough Prize in Mathematics, established by Yuri Milner, along with four others. He was elected a member of the American Philosophical Society in 2012. | |
**42** | **Name: ** | Dr. Richard L. Taylor | | **Institution: ** | Stanford University | | **Year Elected: ** | 2018 | | **Class: ** | 1. Mathematical and Physical Sciences | | **Subdivision: ** | 104. Mathematics | | **Residency: ** | Resident | | **Living? : ** |
Living
| | **Birth Date: ** | 1962 | | | | | Richard Taylor is an algebraic number theorist, working primarily on the relationship between automorphic forms and Galois representations, sometimes called the `Langlands program'. He helped Andrew Wiles complete his proof of Fermat's Last Theorem; with Michael Harris he proved the local Langlands conjecture for GL(n); with various collaborators he proved the Sato-Tate conjecture and the potential automorphy of all regular, self-dual motives; and he helped construct Galois representations for all regular algebraic cuspidal automorphic representations on GL(n) over a CM field. Born in England he graduated from Cambridge University before earning a PhD from Princeton University under the guidance of Andrew Wiles. He has held posts at Cambridge, Oxford and Harvard Universities. He is a member of the Royal Society, the American Academy of Arts and Sciences and of the National Academy of Sciences. He has won various prizes including the Breakthrough Prize, the Shaw Prize, a Clay Research Award, the Dannie Heinemann Prize, the Cole Prize, the Fermat Prize and the Ostrowski Prize. | |
**43** | **Name: ** | Dr. John W. Tukey | | **Institution: ** | Princeton University & AT&T Bell Laboratories | | **Year Elected: ** | 1962 | | **Class: ** | 1. Mathematical and Physical Sciences | | **Subdivision: ** | 104. Mathematics | | **Residency: ** | Resident | | **Living? : ** |
Deceased
| | **Birth Date: ** | 1915 | | **Death Date: ** | July 26, 2000 | | | |
**44** | **Name: ** | Dr. Karen K. Uhlenbeck | | **Institution: ** | University of Texas, Austin | | **Year Elected: ** | 2007 | | **Class: ** | 1. Mathematical and Physical Sciences | | **Subdivision: ** | 104. Mathematics | | **Residency: ** | Resident | | **Living? : ** |
Living
| | **Birth Date: ** | 1942 | | | | | Many objects in mathematics and physics are described by nonlinear partial differential equations. The solutions to these equations often undergo a qualitative change, sometimes called ""bubbling off"" or ""blowing up"". Before Karen Uhlenbeck, no one knew how to treat this phenomenon rigorously. Then, in a series of papers, some of which were joint with Sacks, Uhlenbeck discovered how to predict these qualitative changes from the partial differential equation. In the intervening 25 years, Uhlenbeck's work has had a very large impact in mathematics and mathematical physics. The second woman ever (after Emmy Noether in 1932) to give a plenary address at the International Congress of Mathematicians, Uhlenbeck has done many things to further the education of women in mathematics, including the creation of the Program for Women and Mathematics run by the Institute for Advanced Study and Princeton University. In 2019 she became the first woman awarded the Abel Prize for Mathematics by the Norwegian Academy of Science and Letters. Karen Uhlenbeck has been Professor and Sid W. Richardson Foundation Regents Chair in Mathematics at the University of Texas, Austin, where she has taught since 1987. Since 2014 she has been Visitor at the Institute for Advanced Studies. She was elected a member of the American Philosophical Society in 2007. | |
**45** | **Name: ** | Dr. Hassler Whitney | | **Institution: ** | Institute for Advanced Study | | **Year Elected: ** | 1947 | | **Class: ** | 1. Mathematical and Physical Sciences | | **Subdivision: ** | 104. Mathematics | | **Residency: ** | Resident | | **Living? : ** |
Deceased
| | **Birth Date: ** | 1907 | | **Death Date: ** | 5/10/89 | | | |
**46** | **Name: ** | Dr. Shmuel Winograd | | **Institution: ** | IBM Thomas J. Watson Research Center | | **Year Elected: ** | 1989 | | **Class: ** | 1. Mathematical and Physical Sciences | | **Subdivision: ** | 104. Mathematics | | **Residency: ** | Resident | | **Living? : ** |
Deceased
| | **Birth Date: ** | 1936 | | **Death Date: ** | March 25, 2019 | | | | | One of the chief founders of the field of mathematics known as Computational Complexity, Shmuel Winograd joined IBM as a research staff member in 1961 and went on to direct the company's mathematical sciences department from 1970-74 and 1980-94. He was an IBM Fellow in the IBM Research Division of the Thomas J. Watson Research Center. Noted for his work on fast algorithms for arithmetic, particularly the Coppersmith-Winograd algorithm, he received his B.Sc. and M.Sc. in electrical engineering from MIT in 1959 and his Ph.D. in mathematics from NYU in 1968. Dr. Winograd is credited with answering a fundamental question of computational theory: how many logical steps are required to add or multiply numbers. In an elegant and completely general solution, he answered these key questions for any method of representing numbers and for any kind of circuit design. This work gave computer designers their first analytical tool for determining the ultimate speed of a given technology and also showed, contrary to widely held beliefs, that multiplication could be performed faster than addition. Continuing this work, Dr. Winograd went on to obtain very good estimates on the smallest number of arithmetic operations needed to do certain very frequently used mathematical computations. Dr. Winograd was a fellow of the IEEE and ACM and a member of SIAM, the National Academy of Sciences, and the American Academy of Arts & Sciences. | |
| |