Bombieri and Tao Receive King Faisal Prize

The King Faisal Foundation annu- functions and the local Bieberbach conjecture, in ally presents the King Faisal Inter- theory of functions of several complex variables, national Prize to reward dedicated and in theory of partial differential equations and men and women whose contribu- minimal surfaces—in particular, to the solution of tions make a positive difference, Bernstein’s problem in higher dimensions. including to scientists and scholars In the past decade, his main contributions whose research results in signifi- have been in the active area of Diophantine ap- cant advances in specific areas that proximation and Diophantine geometry, exploring benefit humanity. The prize carries questions of how to solve equations and inequali- a cash award of approximately ties in integers and rational numbers. Many topics US$200,000. related to prime number theory have potential Photo by Cliff Moore. Two mathematicians shared practical applications to cryptography and security Enrico Bombieri the 2010 prize in science: Enrico of data transmission and identification. Bombieri and Terence Tao. The Bombieri received the 2008 AMS Doob Prize for science prize is given alternately in the book Heights in Diophantine Geometry, writ- mathematics, chemistry, physics, ten with Walter Gubler. The citation read, in part: and biology. “The book is a research monograph on all aspects Enrico Bombieri is IBM Von Neu- of Diophantine geometry, both from the perspec- mann Professor at the Institute for tive of arithmetic geometry and of transcendental Advanced Study, Princeton Uni- number theory.… One gets the sense that every versity. He has made pioneering lemma, every theorem, every remark has been care- contributions to various branches fully considered, and every proof has been thought of mathematics. His work is char- through in every detail. There are well-chosen acterized by originality, power, and illuminating examples throughout every chapter. clarity of exposition, addressing The book is a masterpiece in terms of its original fundamental and difficult prob- approach, its unrivalled comprehensiveness, and

Photo by Reed Hutchinson/UCLA. lems in number theory, algebraic the sheer elegance of the exposition. There can be Terence Tao geometry, complex analysis, and no doubt that this book will become the basis for minimal surfaces. His work ranges the future development of this central subject of from analytic number theory to algebra and alge- modern mathematics.” braic geometry and the partial differential equa- Bombieri received his Ph.D. from the University tions of minimal surfaces. of Milan in 1963. He has held positions at the A major contribution has been his work on the University of Milan, the University of Cagliari, the large sieve and its application to the distribution of University of Pisa and Scuola Normale Superiore, prime numbers. Given an arithmetic progression, Pisa, as well as at the Institute for Advanced Study. the large sieve provides information about the Along with the Fields Medal and the Doob Prize, distribution of an arbitrary finite set of integers. other awards include the Feltrinelli Prize (1976), Bombieri applied this improved large-sieve method the Balzan Prize (1980), and the Cavaliere di Gran to prove what is now called “Bombieri’s mean Croce al Merito della Repubblica, Italy (2002). He value theorem”, which concerns the distribution is a member of the Accademia Nazionale, Rome; of primes in arithmetic progressions. the Accademia Nazionale dei Lincei, Italy; and Aca- In 1974 he was awarded the Fields Medal, the demia Europaea and a foreign member of the Royal highest award in mathematical sciences, for his Swedish Academy and of the French Académie major contributions in the primes, in univalent des Sciences. He is a member of the U.S. National

642 NOTICES OF THE AMS VOLUME 57, NUMBER 5

Academy of Sciences and a fellow of the American Advertise in Academy of Arts and Sciences. Terence Tao is professor of mathematics at the University of California Los Angeles. He is the a world-renowned mathematician working in a Notices number of branches of mathematics, including harmonic analysis, partial differential equations, of the American Mathematical Society combinatorics, number theory, and signal process- ing. He is known for his highly original solutions of very difficult and important problems and for his technical brilliance in the use of the necessary mathematical machinery. Working with Ben Green, he proved there are arbitrarily long arithmetic pro- gressions of prime numbers—a result now known Target your as the Green–Tao theorem. Tao has shown extraordinary mathematical message abilities since early childhood. Born in Adelaide, 33,000 Australia, in 1975, he was taking university-level to mathematics courses at the age of nine, after hav- active readers! ing scored a 760 on the mathematics section of the SAT at the age of eight. He competed in his first International Mathematical Olympiad in 1986 when he was ten years old. Over three years he won a bronze, silver, and gold medal. At thirteen, he was the youngest gold medalist in the history of the competition and remains so to this day. He received his bachelor’s and master’s degrees at the age of seventeen from Flinders University. He Make an impact through completed his Ph.D. at age twenty-one at Princeton University under Elias Stein. He was appointed full Display Advertising professor at UCLA at age twenty-four, the youngest Increase your sales and connect with new to hold that rank at the university. customers. Tao’s areas of research include harmonic analy- sis, partial differential equations, combinatorics, Th e Notices of the AMS has the largest and number theory. He has held Sloan Foundation circulation of any publication in the fi eld. (1999–2001) and Packard (1999–2006) fellowships. He was awarded the Salem Prize in 2000 for his Select premium positions are available. work in Lp harmonic analysis and on related ques- tions in geometric measure theory and partial dif- Target your audience through ferential equations. He received the Bôcher Prize in 2002 for his breakthrough on the problem of Classifi ed Advertising critical regularity in Sobolev spaces of the wave An eff ective and economical way to get the maps equations. In 2006 he received the Fields most applicants for your open position. Medal for his contributions to partial differential equations, combinatorics, harmonic analysis, “We have been a long-time advertiser in the and additive number theory; he was awarded the SASTRA Ramanujan Prize in the same year. In 2007 Notices and consider it a highly eff ective way he was awarded a MacArthur Fellowship and the to reach our customers in the mathematical Ostrowski Prize, and he received the Waterman community.” Award in 2008. He is a Fellow of the Royal Society, —Cambridge University Press the Australian Academy of Sciences (correspond- ing member), the National Academy of Sciences Please contact Anne Newcomb to create a program that (foreign member), and the American Academy of will address your advertising needs. Arts and Sciences. He is an associate editor of the Anne Newcomb American Journal of Mathematics (2002–) and of Phone: 401-455-4084 Dynamics of Partial Differential Equations (2003–) Email: [email protected] and an editor of the Journal of the American Mathematical Society (2005–2010) and of Analysis & PDE (2007–). Please visit our online media kit: http://www.ams.org/notices/adnot.html

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