ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society April 2017 Volume 64, Number 4 AMS Prize Announcements page 311 Spring Sectional Sampler page 333 AWM Research Symposium 2017 Lecture Sampler page 341 Mathematics and Statistics Awareness Month page 362 About the Cover: How Minimal Surfaces Converge to a Foliation (see page 307) MATHEMATICAL CONGRESS OF THE AMERICAS MCA 2017 JULY 2428, 2017 | MONTREAL CANADA MCA2017 will take place in the beautiful city of Montreal on July 24–28, 2017. The many exciting activities planned include 25 invited lectures by very distinguished mathematicians from across the Americas, 72 special sessions covering a broad spectrum of mathematics, public lectures by Étienne Ghys and Erik Demaine, a concert by the Cecilia String Quartet, presentation of the MCA Prizes and much more. SPONSORS AND PARTNERS INCLUDE Canadian Mathematical Society American Mathematical Society Pacifi c Institute for the Mathematical Sciences Society for Industrial and Applied Mathematics The Fields Institute for Research in Mathematical Sciences National Science Foundation Centre de Recherches Mathématiques Conacyt, Mexico Atlantic Association for Research in Mathematical Sciences Instituto de Matemática Pura e Aplicada Tourisme Montréal Sociedade Brasileira de Matemática FRQNT Quebec Unión Matemática Argentina Centro de Modelamiento Matemático For detailed information please see the web site at www.mca2017.org. AMERICAN MATHEMATICAL SOCIETY PUSHING LIMITS From West Point to Berkeley & Beyond PUSHING LIMITS FROM WEST POINT TO BERKELEY & BEYOND Ted Hill, Georgia Tech, Atlanta, GA, and Cal Poly, San Luis Obispo, CA Recounting the unique odyssey of a noted mathematician who overcame military hurdles at West Point, Army Ranger School, and the Vietnam War, this is the tale of an academic career as noteworthy for its o beat adventures as for its teaching and research accomplishments. This book is co-published with the Mathematical Association of America. 2017; approximately 334 pages; Hardcover; ISBN: 978-1-4704-3584-4; List US$45; AMS members US$36; Order code MBK/103 … captivating memoir reveals an intriguing character who is part Ren- aissance Man, part Huckleberry Finn. Fast-paced and often hilarious … provides some penetrating and impious insights into some of our more revered institutions. PUSHING —RickLIMIT Atkinson, three-time PulitzerS Prize winner, author of The Long Gray Line Ted Hill is the Indiana Jones of mathematics. A West Point graduate, From West[he] Poin served int Vietnam,to Be swamrkeley with sharks & Bein theyond Caribbean, and has resolutely defi ed unreasoned authority. With this same love of adven- ture, he has confronted the sublime challenges of mathematics. Whether it’s discovering intellectual treasures or careening down jungle trails, this real life Dr. Jones has done it all. —Michael Monticino, professor of mathematics and special assistant to the president, U. North Texas Pre-order your copy today at bookstore.ams.org/mbk-103 facebook.com/amermathsoc (800)321-4267 (US & Canada) @amermathsoc (401)455-4000 (Worldwide) plus.google.com/+AmsOrg Notices of the American Mathematical Society April 2017 FEATURED 341 239347 26362 AWM Research Symposium A New Golden Age of Math Awareness Month Lecture Sampler Minimal Surfaces The World War II Origins of Mathematics Awareness Introduction by Kristin Lauter and Ami Joaquín Pérez by Michael J. Barany Radunskaya Searching for Hyperbolicity by Ruth IMAGINARY—Let's Make Math Charney Exhibitions! by Andreas Daniel Matt Localizations of Eigenfunctions by Svitlana Mayboroda Opinion: A National Mathematics Inference of the Functional Network Festival and a Movement by David Controlling Circadian Rhythm by Linda Eisenbud and Kirsten Bohl Petzold Opinion: A Great Time to be a Statistician by Ronald L. Wasserstein Most fitting celebrations of April as Mathematics and Statistics Awareness Month are the AMS prize announcements, the spring sectional meetings (sampled herein for all), and the Association for Women in Mathematics Research Symposium (also sampled herein). After an article tracing the history of Mathematics Awareness Month back to World War II, we have a report from IMAGINARY on how to share mathematics with the world, and an opinion piece on the National Math Festival. The BackPage announces the January caption contest winner and the new April contest. Celebrate with us, and add your own contributions to the commentary on the Notices webpage. —Frank Morgan, Editor-in-Chief 333 SPRING SECTIONAL SAMPLER ALSO IN THIS ISSUE Spectra for Non-self-Adjoint Operators and Integrable 386 Strengthening Doctoral Programs in Mathematics Dynamics by Michael Hitrik Education: A Continuous Process – Barbara Reys and Robert Reys 2 n Closed Range of ∂ in L on Domains in ℂ by Andrew Raich 359–361 JMM 2017 Collage-Key and Collage Spread Noncommutative Projective Surfaces by Daniel Rogalski 407 BookShelf Postcritical Sets in Complex Dynamics by Sarah C. Koch FROM THE SECRETARY 380 GRADUATE STUDENT SECTION 390 Call for Nominations WHAT IS...Tropical Geometry by Eric Katz 398 NEW Opportunity: Ulf Grenander Prize Underrepresented Students in Topology and Algebra Research Symposium (USTARS) by Candice Price 400 NEW Opportunity: Bertrand Russell Award Notices AMERICAN MATHEMATICAL SOCIETY of the American Mathematical Society FROM THE SECRETARY, CONT'D. Announcements of winners for the : 311 2017 Leroy P. Steele Prizes 316 2017 Ruth Lyttle Satter Prize 317 2017 BÔcher Memorial Prize 319 2017 Frank Nelson Cole Prize in Number Theory 321 2017 Leonard Eisenbud Prize for Mathematics and Physics 324 2017 Levi L. Conant Prize 327 2017 Joseph L. Doob Prize 330 2017 Frank and Brennie Morgan Prize for From Groups to Outstanding Research in Mathematics by an Undergraduate Student Geometry and Back Vaughn Climenhaga, University of Houston, TX, and Anatole Katok, Pennsylvania State University, University IN EVERY ISSUE Park While exploring the connections between group theory and 392 Mathematics People geometry, this book introduces some of the main ideas of transformation groups, algebraic topology, and geometric 395 Mathematics Opportunities group theory. The material is accessible to undergraduate students (and anyone else) with a background in calculus, 399 Inside the AMS linear algebra, and basic real analysis, including topological notions of convergence and connectedness. 401 Mathematics Calendar Student Mathematical Library, Volume 81; 2017; approxi- mately 433 pages; Softcover; ISBN: 978-1-4704-3479-3; List US$58; All individuals US$46.40; Order code STML/81 405 Classified Advertising 409 New Publications Offered by the AMS 419 Meetings and Conferences of the AMS Now available for pre-order! 432 The Back Page Also available Reserve your copy at as an bookstore.ams.org/stml-81 ABOUT THE COVER eBook! The cover illustration shows how embedded minimal disks in R3 or in balls of increasing radius can converge to a smooth foliation while the curvature blows up along a vertical axis. Inside a ball of fixed radius, curvature blow up can occur along infinitely many arcs. On the other hand, if the curvature is bounded, the convergence is smooth. Joaquín Pérez's survey (Section 4, page 347) describes such results from the work of (800)321-4267 (US & Canada) Colding and Minicozzi on limits of embedded minimal disks (401)455-4000 (Worldwide) and more recent results with Bill Meeks and Antonio Ros. AMERICAN MATHEMATICAL SOCIETY Find past themes and current resources at www.mathstatmonth.org Mathematics and Statistics Awareness Month April marks a time to increase the understanding and appreciation of mathematics and statistics. Why? Both subjects play a signifi cant role in addressing many real-world problems—internet security, sustainability, disease, climate change, the data deluge, and much more. Research in these and other areas is ongoing, revealing new results and applications every day in fi elds such as medicine, manufacturing, energy, biotechnology, and business. Mathematics and statistics are important drivers of innovation in our technological world, in which new systems and methodologies continue to become more complex. Organize and host activities in April for Mathematics and Statistics Awareness Month! Past activities have included workshops, competitions, festivals, lectures, symposia, department open houses, math art exhibits, and math poetry readings. Share your activities on social media. MathStatMonth @MathAware Mathematics and Statistics Awareness Month is a program of the Joint Policy Board for Mathematics (JPBM)—a collaborative effort of the American Mathematical Society, the American Statistical Association, the Mathematical Association of America, and the Society for Industrial and Applied Mathematics. Notices of the American Mathematical Society EDITOR-IN-CHIEF CONTACTING THE NOTICES Frank Morgan SUBSCRIPTION INFORMATION ASSOCIATE EDITORS Subscription prices for Volume 64 (2017) are US$637 list; Benjamin Braun, US$509.60 institutional member; US$382.20 individual mem- Alexander Diaz-Lopez, Thomas Garrity, Joel Hass, ber; US$573.30 corporate member. (The subscription price for Stephen Kennedy, Florian Luca, Steven J. Miller, members is included in the annual dues.) A late charge of 10% of Harriet Pollatsek, Carla Savage (ex officio), the subscription price will be imposed upon orders received from Cesar E. Silva, Christina Sormani, Daniel J. Velleman non-members after January 1 of the subscription year. Add for CONSULTANTS postage: Surface delivery