AMR Newsletter
September 2025
Here are the latest updates from the AMR as we start the 2025-26 academic year.
AMR Prize in the Mathematics of Artificial Intelligence
The AMR will be awarding the second annual Prize in the Mathematics of Artificial Intelligence in 2025. It will be awarded for research performed in the last 10 years in mathematics relevant to artificial intelligence and machine learning, or in AI research relevant to mathematics. The prize carries an award of $50,000. We are soliciting nominations, which should include a brief note describing the qualifications of the nominee as well as the research for which the prize could be awarded. Nomination letters for the 2025 Prize should be sent to aiprize@amathr.org and be received by September 30, 2025 to assure full consideration.
New book!
“Fraternal Twins: the Unreasonable Resemblance of the Ricci and Mean Curvature Flows” by Mat Langford is the sixth volume in the AMR’s Research Monograph Series. The book aims to “……provide an introduction to geometric evolution equations through a study of these twin flows.” Mat Langford is a Research Fellow at the Mathematical Sciences Institute of the Australian National University. Other books in the AMR catalog are here; all are available at no cost.
Updates on Journals
We encourage you to submit your high-quality papers to the AMR’s six Diamond Open Access journals. Four have recently published new issues with tables of contents listed below. We’re particularly pleased to bring the inaugural issue of the Journal of Open Mathematical Problems to your attention.
JAMR publishes research articles in all branches of mathematics at the level of the best specialized journals. Volume 3 Issue 2 is now online: |
Table of contents: Leonardo Dinamarca Opazo, Andrés Navas On the GL(2n) eigenvariety: branching laws, Shalika families and p-adic L-functions Daniel Barrera-Salazar, Mladen Dimitrov, Andrew Graham, Andrei Jorza, Chris Williams Family Bauer–Furuta invariant, Exotic Surfaces and Smale conjecture Jianfeng Lin, Anubhav Mukherjee |
JXM publishes research articles in all branches of mathematics that feature experimental results with important implications. The second issue is now available: |
Table of contents: Greenberg’s conjecture for real quadratic number fields Pietro Mercuri, Maurizio Paoluzi, René Schoof Maximal number of subword occurrences in a word Wenjie Fang In Search of Approximate Polynomial Dependencies Among the Derivatives of the Alternating Zeta Function Yuri Matiyasevich A Bicycle Correspondence on Polygons and its Continuous Limit Maxim Arnold, Lael Edwards-Costa, Serge Tabachnikov A hyperelliptic saga on a generating function of the squares of Legendre polynomials Mark H. F. van Hoeij, Duco van Straten, Wadim Zudilin Smale’s 6th Problem for Generic Masses Anders Jensen, Anton Leykin Hilbert Coefficients of Quadratic Algebras Ralf Fröberg Limit Heights and Special Values of the Riemann Zeta Function Roberto Gualdi, Martín Sombra Random Graphs from Random Matrices Igor Rivin |
JOMP publishes surveys that are centered on notable problems in all areas of mathematics. The first issue of JOMP has appeared: |
Table of contents: Numbers in Ramsey theory Fan Chung Hodge and generalized Hodge conjectures, coniveau and algebraic cycles Claire Voisin Characterizing the 4-sphere, S^4 Joel Hass, Robion Kirby |
The Arnold Mathematical Journal, previously published by Springer/Nature, is now published by the AMR. The journal is owned by the Institute of Mathematical Sciences at Stony Brook University and has been published since 2015. The second issue of 2025 is now available. |
Table of contents: Non-fillability of overtwisted contact manifolds via polyfolds Wolfgang Schmaltz, Stefan Suhr and Kai Zehmisch
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AMR Governance
We are delighted to announce that Alex Kontorovich will be the next President of the AMR, starting a 2-year term in January 2026. Alex is the AMR’s second President, following the term of Founding President Joel Hass.
Alex is the winner of multiple awards, including most recently being selected to speak at the 2026 ICM. From the ICM website: “Alex Kontorovich is a Distinguished Professor of Mathematics at Rutgers University. He received a BA from Princeton and PhD from Columbia, and previously taught at Brown, Stony Brook, and Yale. Kontorovich’s research interests are in number theory, geometry, and dynamics, as well as formalized mathematics and applications to AI. He is the recipient of the American Mathematical Society’s Levi Conant Prize, a Sloan Research Fellowship, several Simons Foundation Fellowships, and a von Neumann Fellowship at the Institute for Advanced Study in Princeton. Kontorovich is a Kavli Fellow of the National Academy of Sciences and a Fellow of the American Mathematical Society. He serves on the Board of Directors of the Association for Mathematical Research, the Editorial Board of the Annals of Formalized Mathematics, and the Scientific Advisory Boards of Quanta Magazine and the Lean Focused Research Organization. Kontorovich is also active in outreach efforts, including serving as the 2020-2021 Distinguished Visiting Professor for the Public Dissemination of Mathematics at the National Museum of Mathematics in NYC, and founding the Rutgers branch of the renowned Math Corps summer day camp. He has collaborated with YouTube channels Veritasium, 3blue1brown, and others on videos that have collectively been viewed over 100 million times.”
2025 Mathematical Congress of the Americas
The fourth quadrennial Mathematical Congress of the Americas (MCA) took place in Miami from July 21 to July 25, 2025, with close to a thousand mathematicians attending. These events are held under the auspices of the Mathematical Council of the Americas (MCofA) of which AMR is an affiliate member. Mathematicians came from across the Americas and beyond and showcased the extraordinary depth and breadth of mathematics across the Americas.
Support the AMR
All AMR activities are run by volunteers and membership is free. All our books, journals and lectures are free to authors and readers. We have no paid staff, but we do have a variety of ongoing costs, including the costs of maintaining our journals, primarily for EditFlow and website hosting. Please consider donating to our newly-established endowment fund or becoming a sustaining member to help expand our activities and build an organization focused on mathematical research and scholarship. If you are interested in opportunities to participate in AMR activities, send an email to contact@amathr.org. The AMR is a 501(c)(3) non-profit organization and donations are tax deductible as allowable by law.
Best wishes for a productive academic year from the AMR Board. | |
Colin ADAMS, Williams College | |
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