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conjecture. In addition, the prize notes that he has made Liu and Thorne Awarded inroads also into non-Archimedean geometry, as evidenced by his 2011 paper in the Journal of Differential Geometry, SASTRA Ramanujan Prize where he has established a non-Archimedean analogue of the famous Calabi Conjecture for abelian varities over Yifeng Liu of Yale University and p-adic fields with complete degeneration. Thus he has Jack Thorne of Cambridge University established himself as a leading and influential figure in have been named the recipients of arithmetic geometry, automorphic representations and the 2018 SASTRA Ramanujan Prize. number theory, and his work is expected to have major The prize citation for Liu reads as impact in these areas in the future.” follows: “Yifeng Liu is awarded the The citation for Thorne reads: “Jack Thorne is awarded 2018 SASTRA Ramanujan Prize for the 2018 SASTRA Ramanujan Prize for his far-reaching his many spectacular contributions contributions to number theory, representation theory and to arithmetic geometry and num- arithmetic geometry, especially to the modularity of Galois Yifeng Liu ber theory. The prize recognizes his representations and arithmetic invariant theory. The prize marvelous 2012 PhD thesis at Co- recognizes his outstanding 2012 PhD thesis at Harvard lumbia University entitled ‘Arith- University entitled ‘The Arithmetic of Simple Singularities’; metic Inner Product Formula for one outcome of this was his 2013 paper on arithmetic in- Unitary Groups,’ which includes his variant theory that appeared in Algebra and Number Theory, fundamental work on arithmetic which leads to new bounds on the sizes of certain Selmer theta lifting and L-derivatives that groups, and on the number of rational and integral points appeared in two substantial papers on various classes of algebraic curves. The prize notes that in Algebra and Number Theory in concerning modularity of Galois representations, Thorne 2011. The prize also recognizes his has been a central force in eliminating restrictions on the Jack Thorne subsequent three papers pertaining Taylor-Wiles method, as evidenced in his three seminal to Bessel and Fourier-Jacobi mod- papers with Laurent Clozel on level raising and symmetric els that appeared in Journal of Functional Analysis in 2013 power functoriality in Compositio Mathematica in 2014, (coauthored with Binyong Sun), Manuscripta Mathematica the Annals of Mathematics in 2015, and the Duke Journal in 2014, and Crelle's Journal [Journal for Pure and Applied in 2017. Of note in his joint work with Clozel is Thorne’s Mathematics] in 2016, in which he made major progress discovery and use of a surprising automorphy lifting the- on the Gan-Gross-Prasad conjectures in the representation orem that was established in his 2015 paper in the Journal theory of classical groups. The prize also notes that in his of the American Mathematical Society. The works of Thorne 2018 paper in the Duke Mathematics Journal (coauthored and of Clozel-Thorne are expected to greatly extend the with Shouwu Zhang and Wei Zhang), important p-adic scope of the Taylor-Wiles method. The prize recognizes versions of theorems of Waldspurger and Gross-Zagier that Thorne’s 2015 joint work with Chandrashekhar Khare are established, generalizing earlier fundamental work of on potential automorphy and the Leopoldt conjecture, to Bertolini, Darmon, and Prasanna. In the ’80s, Gross-Zagier appear in the American Journal of Mathematics, has led to a and Kolyvagin proved some amazing theorems which im- proof of a potential version of the Shimura-Taniyama con- plied the celebrated Birch–Swinnerton-Dyer conjecture for jecture for elliptic curves over imaginary quadratic fields, certain elliptic curves. The prize recognizes that in his 2016 in a major project involving several researchers, including paper in Inventiones Mathematicae, as well as in a paper to Thorne. Finally, the prize notes that Thorne’s recent paper appear in the Journal of the EMS, and in subsequent joint to appear in the European Journal of Mathematics establish- work, Liu has extended Kolyvagin type results to higher ing that all elliptic curves over Q∞ are modular is another ranks in the general framework of the Beilinson-Bloch-Kato major breakthrough. With his outstanding contributions to

January 2019 Notices of the American Mathematical Society 113 Mathematics People NEWS two distinct areas of number theory/arithmetic geometry, fundamental problem in theoretical computer science to and his ability to overcome technical obstacles, Thorne has one in statistical physics. To solve these problems that have become one his generation's leaders in the field of algebraic confounded many strong mathematicians before him, Sly number theory.” develops novel tools with broad applicability. For example, The prize committee for the 2018 SASTRA Ramanujan he has introduced an innovative strategy called “infor- Prize consisted of: mation percolation” to analyze the cutoff phenomenon •• Krishnaswami Alladi, Chair, University of Florida in Ising-Glauber models (the existence or not of a sharp •• David Bressoud, Macalester College transition within a short time window from an unmixed •• Gerhard Frey, University of Essen state to the mixed equilibrium state), new graphical meth- •• Andrew Granville, University of Montreal; University ods for the proof of the satisfiability conjecture, and a new College, London geometric approach to the slow bond problem. •• Alex Lubotzky, Hebrew University “Through conceptual breakthroughs in methodology, •• Philippe Michel, Ecole Polytechnique, Lausanne Sly is making fundamental progress on important and dif- •• Gisbert Wustholz, ETH Zurich ficult problems that are of central interest to mathematics •• Previous winners of the SASTRA Ramanujan Prize are: and have important applications in many other fields.” •• Manjul Bhargava and Kannan Soundararajan (two full Allan Sly received his PhD in statistics from the Univer- prizes), 2005 sity of California at Berkeley in 2009 under the direction of •• Terence Tao, 2006 Elchanan Mossel. He was a postdoctoral fellow at Microsoft •• Ben Green, 2007 Research (2009–2011) and a member of the Department •• Akshay Venkatesh, 2008 of Statistics at the University of California at Berkeley •• Kathrin Bringmann, 2009 (2011–2016) before joining the faculty at Princeton Uni- •• Wei Zhang, 2010 versity, where he is currently a professor in the Department •• Roman Holowinsky, 2011 of Mathematics. •• Zhiwei Yun, 2012 •• Peter Scholze, 2013 —From a MacArthur Foundation announcement •• James Maynard, 2014 •• Jacob Tsimerman, 2015 •• Kaisa Matomaki and Maksym Radziwill (shared), 2016 Logunov Awarded 2018 •• Maryna Viazovska, 2017 Salem Prize —Krishnaswami Alladi, University of Florida Alexander Logunov of the Institute for Advanced Study and Princeton Sly Awarded MacArthur University has been awarded the 2018 Salem Prize for his work Fellowship on the conjectures of Yau and Nadirashvili on the volumes Allan Sly of Princeton University has of the zero sets of Laplacian been awarded a MacArthur Fellow- eigenfunctions. His work centers ship, popularly known as a “genius on harmonic analysis, potential grant,” for 2018. Alexander Logunov theory, and geometric analysis. According to the prize citation, He received his PhD from St. “Allan Sly is a mathematician Petersburg State University in 2015 under the supervision and probability theorist resolving of Viktor Havin. He spent two years as a postdoctoral long-standing open problems in sta- fellow at Tel Aviv University before moving to Princeton. tistical physics and theoretical com- In 2017 he received the Clay Research Award jointly Allan Sly puter science. with Eugenia Malinnikova for their introduction of “Sly’s accomplishments include novel geometric-combinatorial methods for the study of important findings pertaining to the threshold for re- elliptic eigenvalue problems, and he has been appointed covering clusters in the sparse stochastic block model; as a Clay Research Fellow for a two-year term beginning pathbreaking work on cutoff in Markov chains; and the in July 2018.The prize, in memory of Raphael Salem, discovery of a key to constructing embeddings of random is awarded yearly to young researchers for outstanding sequences into random sequences. He has also determined contributions to the field of analysis. a proof of the satisfiability conjecture for large k, linking a —From a Salem Prize announcement

114 Notices of the American Mathematical Society Volume 66, Number 1 Mathematics People NEWS

•• Pao-sheng Hsu, Independent Håstad Awarded Knuth Prize •• Ellen E. Kirkman, Wake Forest University •• Maria M. Klawe, Harvey Mudd College Johan Håstad of KTH Royal Institute • nne eggett of Technology, Stockholm, Sweden, • A M. L , Loyola University Chicago • agnhild ien has been awarded the 2018 Donald • M L , California State University, Northridge E. Knuth Prize “for his long and •• Maeve Lewis McCarthy, Murray State University sustained record of milestone break- •• Dusa McDuff, Barnard College, Columbia University throughs at the foundations of com- •• Irina Mitrea, Temple University puter science, with huge impact on •• Alice Silverberg, University of California Irvine many areas including optimization, •• Audrey Terras, University of California San Diego cryptography, parallel computing, •• Marie A. Vitulli, University of Oregon •• Judy Leavitt Walker, University of Nebraska-Lincoln Johan Håstad and complexity theory.” The prize is sponsored jointly by ACM SIGACT •• Lesley Ward, University of South Australia and IEEE TCMF. According to the prize citation, his “mul- •• Ulrica Wilson, Morehouse College tiple seminal works have not only resolved longstanding deepest problems central to circuit lower bounds, pseudo- —From an AWM announcement random generation, and approximability, but also intro- duced transformative techniques that have fundamentally influenced much of the subsequent work in these areas.” ICIAM Prizes for 2019 Håstad received his PhD from the Massachusetts Institute of Technology in 1986. In his spare time, Håstad enjoys a Announced glass of good wine, picking wild mushrooms,and skating The International Council for Industrial and Applied on the frozen lakes of Sweden in the winter. Mathematics (ICIAM) has announced several major prizes to be awarded at its 2019 Congress in Valencia, Spain, in —From an ACM announcement July 2019. Siddhartha Mishra of ETH Zurich receives the Collatz Prize “for his breakthrough contributions that skillfully 2019 AWM Fellows Chosen combine modeling of real-world problems and rigorous The Executive Committee of the Association for Women mathematical analysis with the development of efficient in Mathematics (AWM) established the AWM Fellows Pro- and accurate numerical schemes and high-performance gram to recognize individuals who have demonstrated a computing.” The prize recognizes scientists under forty-two sustained commitment to the support and advancement years of age for outstanding work in industrial and applied of women in the mathematical sciences, consistent with mathematics. the AWM mission: “to encourage women and girls to study George Papanicolaou of Stanford University was named and to have active careers in the mathematical sciences, and the recipient of the Lagrange Prize “for his brilliant use of to promote equal opportunity and the equal treatment of mathematics to solve important problems in science and women and girls in the mathematical sciences.” engineering; in particular, problems involving inhomoge- The 2019 class of AWM Fellows are researchers, mentors, neity, wave propagation, random media, diffusion, scatter- and educators who are recognized by their peers and stu- ing, focusing, imaging, and finance.” The prize recognizes dents for their commitment to supporting women in the mathematicians who have made exceptional contributions mathematical sciences. to applied mathematics throughout their careers. Following are the names and institutions of the 2019 Claude Bardos of Université Paris Denis Diderot (Paris AWM Fellows. 7) is recognized with the Maxwell Prize “for his seminal •• Hélène Barcelo, Mathematical Sciences Research In- contributions to nonlinear partial differential equations, stitute kinetic theory, and mathematical fluid mechanics.” The •• Lida Kittrell Barrett prize honors a mathematician who has demonstrated •• Sun-Yung Alice Chang, Princeton University originality in applied mathematics. •• Amy Cohen, Rutgers University Yvon Maday of the Sorbonne and the Université Pierre •• Ingrid Daubechies, Duke University et Marie Curie has been selected to receive the Pioneer •• Chandler Davis, University of Toronto Prize “in recognition of his leading role in the introduction •• Jacqueline Dewar, Loyola Marymount University of powerful methods for numerical simulation, such as •• Edray Herber Goins, Pomona College spectral methods, reduced order modeling, domain de- •• Judy Green, Marymount University composition, models and simulation in medical sciences,

January 2019 Notices of the American Mathematical Society 115 Mathematics People NEWS fluid-structure interaction, and ab-initio chemistry.” The LEARN ABOUT prize is awarded for pioneering work introducing applied mathematical methods and scientific computing tech- niques to an industrial problem area or a new scientific field of applications. Giulia di Nunno of the University of Oslo receives the AMS eBOOKS Su Buchin Prize “for her long-lasting record of actively and efficiently encouraging top-level mathematical research and education in developing African countries.” The prize recognizes outstanding contributions by individuals in the application of mathematics to emerging economies and human development, in particular at the economic and cultural levels in developing countries.

—From an ICIAM announcement

Photo credits Photo of Yifeng Liu credit Shiyue Li. Photo of Jack Thorne, no credit. Photo of Allan Sly courtesy of John D. and Catherine T. MacArthur Foundation Photo of Alexander Logunov, no credit. Photo of Johan Håstad Courtesy of Andreas Bergsten and KTH Royal Institute of Technology

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116 Notices of the American Mathematical Society Volume 66, Number 1