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Home , Andrew Wiles, Claire Voisin, Demetrios Christodoulou, George Lusztig, Henryk Iwaniec, Shaw Prize

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Kollár and Voisin Awarded

The Shaw Foundation has for showing that a variety is not rational, a breakthrough announced the awarding of that has led to results that would previously have been the 2017 Shaw Prize in Math- unthinkable. A third remarkable result is a counterexam- ematical Sciences to János ple to an extension of the Hodge , one of the Kollár, professor of mathe- hardest problems in (it is one of the Clay matics, , Mathematical Institute’s seven Millennium Problems); and , professor the counterexample rules out several approaches to the and chair in algebraic geom- conjecture.” etry, Collège de , “for their remarkable results in Biographical Sketch: János Kóllar János Kollár many central areas of algebraic János Kollár was born in 1956 in Budapest, . He geometry, which have trans- received his PhD (1984) from Brandeis University. He was formed the field and led to the a research assistant at the Hungarian Academy of Sciences solution of long-standing prob- in 1980–81 and a junior fellow at Harvard University from lems that had appeared out of 1984 to 1987. He was a member of the faculty of the Uni- reach.” They will split the cash versity of Utah from 1987 to 1999. In 1999 he joined the award of US$1,200,000. faculty of Princeton University, where he was appointed The Shaw Foundation char- Donner Professor of Science in 2009. He was a Simons acterizes Kollár’s recent work Fellow in Mathematics in 2012. He received the AMS Cole as standing out “in a direction Prize in Algebra in 2006 and the Nemmers Prize in Math- that will influence algebraic ematics in 2016. He is a member of the National Academy geometry deeply in the de- of Sciences and a Fellow of the American Academy of Arts Claire Voisin cades to come, as an important and Sciences. He was named a Fellow of the AMS in 2012. complement of the minimal model program: the definition and study of moduli of Biographical Sketch: Claire Voisin higher-dimensional varieties, which can be thought of Claire Voisin was born in France in 1962. She obtained as sophisticated geometrical structures whose points her PhD (1986) from the Université Paris-Sud. She was a represent equivalence classes of these varieties. The im- member of the Centre National de la Recherche Scien- portance of this area can be seen in the immense wealth tifique (CNRS) from 1986 to 2016 and also was Researcher of papers on the moduli problem in dimension 1, which at the Université Paris-Sud and then Senior Researcher and today occupies topologists, combinatorialists, and, per- Directrice de Recherche at the Institut de Mathématiques haps most of all, . Already for surfaces the de Jussieu. At the Collège de France, she has held the chair treatment of moduli is an extremely subtle and difficult in algebraic geometry since 2016. Her honors include the problem. Kollár’s ideas have almost defined the field of European Mathematical Society Prize (1992), the Sophie higher-dimensional moduli.” Germain Prize (2003), the Ruth Lyttle Satter Prize (2007), Regarding Voisin’s work, the foundation’s statement a (2008), and the Heinz Hopf Prize reads: “Among Voisin’s major achievements is the solution (2015). In 2016 she was awarded the Gold Medal of the of the Kodaira problem, which starts with the observation CNRS, the highest scientific award in France. She is a mem- that every deformation of a complex projective ber of the Académie des Sciences and foreign associate is a Kähler manifold (which, roughly speaking, means a member of the US National Academy of Sciences. geometric set that locally has a structure compatible with the complex numbers) and asks whether the converse is About the Prize true. She found counterexamples: that is, Kähler mani- The Shaw Prize is an international award established to folds that not only fail to be deformations of projective honor individuals who are currently active in their respec- but are not even topologically equivalent to tive fields and who have achieved distinguished and signif- projective manifolds. Another of Voisin’s pioneering ac- icant advances, who have made outstanding contributions complishments is the establishment of a new technique in culture and the arts, or who have achieved excellence

922 Notices of the AMS Volume 64, Number 8 COMMUNICATION A m e r i c A n m At h e m At i c A l S o c i e t y in other domains. The award is dedicated to furthering societal progress, enhancing quality of life, and enriching humanity’s spiritual civilization. Preference is given to Do you attend JMM? individuals whose significant work was recently achieved. The Shaw Prize consists of three annual awards: the How about any Prize in , the Prize in Science and , and the Prize in Mathematical Sciences. Established under the AMS Sectional Meetings? auspices of Run Run Shaw in November 2002, the prize is managed and administered by the Shaw Prize Foundation based in . Did you know that your Previous recipients of the Shaw Prize in Mathematical Sciences are: savings from attending these • Nigel J. Hitchin, 2016 • and , 2015 meetings will practically pay • , 2014 • David L. Donoho, 2013 for your AMS membership? • , 2012 • and Richard S. Hamilton, 2011 • , 2010 With your membership you will • Simon K. Donaldson and Clifford H. Taubes, 2009 receive special discounts and free • and Ludwig Faddeev, 2008 • and Richard Taylor, 2007 shipping at any on-site AMS • and Wen-Tsun Wu, 2006 exhibit bookstore. • , 2005 • Shiing-Shen Chern, 2004

Photo Credits Photo of János Kóllar courtesy of William Crow/Princeton Uni- versity. Photo of Claire Voisin courtesy of Patrick Imbert/Collège de France.

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September 2017 Notices of the AMS 923