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Bombieri–Vinogradov type theorem for smooth numbers. Harper Awarded SASTRA In addition, the prize recognizes Harper’s novel proof of a famous theorem of Halasz that led to two major joint pa- Ramanujan Prize pers on the ‘pretentious approach to number theory’ with Adam Harper of the University of Andrew Granville and Kannan Soundararajan in Compositio Warwick has been awarded the 2019 Mathematics (2019) and the Proceedings of the American SASTRA Ramanujan Prize for making Mathematical Society (2018). Finally, the prize recognizes “path-breaking contributions to ana- that Harper’s fundamental research spans several areas, lytic and probabilistic number theory such as the large sieve, in joint work with Ben Green in Geo- by establishing a number of deep metric and Functional Analysis (2014) and on prime number and surprising results.” The prize is races in joint work with Youness Lamzouri in Probability and awarded for outstanding contribu- Related Fields (2018) and with Kevin Ford and Lamzouri, tions by mathematicians age thirty- to appear in Mathematische Annalen. Harper’s pathbreaking results in analytic number theory using deep ideas from Adam Harper two or younger in areas of mathemat- ics influenced by Ramanujan. probability in novel ways is having a major impact on these The prize citation reads: “Adam Harper is awarded the fields and has resulted in an explosion of activity.” 2019 SASTRA Ramanujan Prize for several outstanding Adam Harper was born in Lowestoft, United Kingdom. contributions to analytic and probabilistic number the- He completed his PhD in 2012 at Cambridge University ory. The prize recognizes his marvelous 2012 PhD thesis under the guidance of Ben Green. He held a postdoctoral at Cambridge University and his paper of 2013 in Crelle’s fellowship at CRM Montreal with Andrew Granville in Journal [Journal for Pure and Applied Mathematics], in which, 2012–2013. He was a research fellow at Cambridge Uni- among other things, he disproved a widely believed conjec- versity in 2013–2016. ture on the normal distribution of partial sums of random The members of the prize committee for the 2019 multiplicative functions by novel use of deep probabilistic SASTRA Ramanujan Prize were: methods. The prize also recognizes Harper’s recent brilliant •• Krishnaswami Alladi, Chair, University of Florida proof of a conjecture of Helson that the partial sums have •• David Bressoud, Macalester College better than square-root cancellation using ideas on mul- •• Kevin Ford, University of Illinois, Urbana tiplicative chaos, and a related paper on higher moments •• Gerhard Frey, University of Essen of random multiplicative functions to appear in Algebra •• Robert Tijdeman, University of Leiden and Number Theory. The prize also recognizes Harper’s •• Shouwu Zhang, Princeton University seminal work using the Riemann Hypothesis to determine •• Maryna Viazovska, École Polytechnique, Lausanne the correct order upper bound for the higher moments of The previous winners of the SASTRA Ramanujan Prize the Riemann zeta function on the critical line. The prize are: also notes that Harper proved the upper bound part of a •• Manjul Bhargava and Kannan Soundararajan (two full conjecture of Fyodorov, Hiary, and Keating on the almost prizes), 2005 always maximum size of the Riemann zeta function in short •• Terence Tao, 2006 intervals on the critical line. The prize recognizes Harper’s •• Ben Green, 2007 ingenious work on S-unit equations and related results for •• Akshay Venkatesh, 2008 these equations over smooth numbers that significantly •• Kathrin Bringmann, 2009 improves earlier important work of Konyagin and Sound- •• Wei Zhang, 2010 ararajan. The prize notes that in his 2012 Journal of Number •• Roman Holowinsky, 2011 Theory paper, Harper established certain conjectures of •• Zhiwei Yun, 2012 Soundararajan on the equidistribution of smooth numbers •• Peter Scholze, 2013 and more recently that Harper has established a powerful •• James Maynard, 2014

96 Notices of the American Mathematical Society Volume 67, Number 1 Mathematics People NEWS

•• Jacob Tsimerman, 2015 •• Kaisa Matomaki and Maksym Radziwill (shared), 2016 Gouëzel Awarded Brin Prize •• Maryna Viazovska, 2017 Sébastien Gouëzel of the University •• Yifeng Lui and Jack Thorne, 2018 of Nantes has been awarded the eighth Michael Brin Prize in Dynam- —Krishnaswami Alladi, University of Florida ical Systems for his “groundbreaking and influential work on the spectral Ambrosio Awarded theory of transfer operators and on statistical properties of hyperbolic 2019 Balzan Prize dynamical systems and random walks on hyperbolic groups.” Luigi Ambrosio of Scuola Normale Sébastien Gouëzel Gouëzel received his PhD in 2004 Superiore di Pisa has been awarded from Université Paris XI under the the 2019 Balzan Prize for Theory of supervision of Viviane Baladi. He has held positions as Partial Differential Equations. Ac- CNRS “chargé de recherche” at the Universities of Rennes cording to the prize citation, Am- (2005–2015) and Nantes (2015–present). He was an in- brosio “is a remarkable mathema- vited speaker at the International Congress of Mathemati- tician whose astonishing capacity cians in Rio de Janeiro, Brazil, in 2018. for synthesis has made it possible to The Michael Brin Prize in Dynamical Systems was create hitherto unimaginable bridges endowed in 2008 by Michael Brin of the University of Luigi Ambrosio between partial differential equa- Maryland to recognize mathematicians who have made a tions and the calculus of variation. substantial impact in dynamical systems and related fields His influence on the analysis of very general spaces is at an early stage of their careers. It carries a cash award of exceptional.” Ambrosio was born in Piedmont, Italy, and US$18,000. received his PhD from Scuola Normale Superiore di Pisa in 1988 under the direction of Ennio De Giorgi. He has —Giovanni Forni, University of Maryland, College Park held positions at the University of Pisa, the University of Benevento, and the University of Pavia. His honors include the Caccioppoli Prize of the Italian Mathematical Union Wise Awarded 2019 (1998) and the Fermat Prize (2003). He is managing editor of the journal Calculus of Variations and Partial Differential Lobachevsky Medal Equations. Ambrosio tells the Notices, “My first contact and Daniel Wise of McGill University has excitement with mathematics came with my grandfather, been awarded the 2019 Lobachevsky showing to me tricky games with numbers. Mathematically, Medal for his work in geometric group I grew up in the Scuola Normale and at Pisa University. theory, metric spaces of nonpositive It has been very exciting for me to move across different curvature, residually finite groups, fields, from calculus of variations to geometric measure subgroup separability, 3-dimensional theory and, in the last few years, optimal transport and manifolds, and coherence, as well as probability.” for his general research in theory of Four Balzan Prizes are awarded annually by the Interna- infinite groups with applications to tional Balzan Prize Foundation in the broad categories of geometry and topology. He received Literature, Moral Sciences, and the Arts; and the Physical, Daniel Wise his PhD from Princeton University in Mathematical, and Natural Sciences and Medicine. Two 1996 under the direction of Martin Bridson. He received prizes in each category are awarded to scholars, artists, a National Science Foundation Postdoctoral Fellowship in and scientists who have distinguished themselves in their 1996–1997 and has held positions at Princeton University, fields on an international level. The Articles of the Balzan the University of California, Berkeley, Cornell University, Foundation stipulate that half the prize money be donated and Brandeis University. He joined the faculty at McGill to finance research projects preferably carried out by young in 2001. His honors include the Veblen Prize in Geometry scholars or scientists. (2013), the Jeffery-Williams Prize (2016), the CRM-Fields- PIMS Prize (2016), and a Guggenheim Fellowship (2016). —From a Balzan Prize Foundation announcement He is a Fellow of the Royal Society and of the Royal So- ciety of Canada. The Lobachevsky Medal is awarded for

January 2020 Notices of the American Mathematical Society 97 Mathematics People NEWS contributions to geometry and fundamental and applied mathematics. It carries a cash award of US$75,000. JOIN THE AMS... —Kazan State University announcement or renew your membership today 2020 AWM Fellows Chosen The Executive Committee of the Association for Women in Mathematics (AWM) established the AWM Fellows Pro- gram to recognize individuals who have demonstrated a sustained commitment to the support and advancement of women in the mathematical sciences, consistent with the AWM mission: “to encourage women and girls to study and to have active careers in the mathematical sciences, and to promote equal opportunity and the equal treatment of women and girls in the mathematical sciences.” MEMBER BENEFITS: The 2020 class of AWM Fellows are researchers, mentors, and educators who are recognized by their peers and stu- • Individual AMS members receive dents for their commitment to supporting women in the free standard shipping on orders mathematical sciences. delivered to addresses in the Following are the names and institutions of the 2020 United States (including Puerto AWM Fellows. Rico) and Canada •• Margaret Bayer, University of Kansas •• Joan S. Birman, Barnard College, Columbia University • Discounts on AMS publications •• Petra Bonfert-Taylor, Thayer School of Engineering, including MAA Press books Dartmouth College •• Susanne C. Brenner, Louisiana State University • Subscriptions to Notices •• Jennifer Chayes, Microsoft Research and Bulletin •• Alissa S. Crans, Loyola Marymount University •• Donatella Danielli, Purdue University • Discounted registration •• Sarah J. Greenwald, Appalachian State University for world-class meetings •• Leslie Hogben, Iowa State University and American and conferences Institute of Mathematics • Access to online AMS •• Fern Y. Hunt, National Institute of Standards and Tech- Member Directory nology

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Credits Photo of Luigi Ambrosio is courtesy of Giandonato Tartarelli, Scuola Normale Superiore di Pisa. Photo of Sébastien Gouëzel is courtesy of Renaud Le Guernic. Photo of Daniel Wise is courtesy of Yael Halevi-Wise.

98 Notices of the American Mathematical Society Volume 67, Number 1