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Menu Programs Workshops SQuaREs Research Communities Alexanderson Award Problem Lists AIM Preprint Series Published Papers Five Year Fellows Projects Math Communities Math Circle Network Global Math Project Math Monday Morgan Hill Math Alliance of Indigenous Math Circles REUF Mathematics of Planet Earth Open Textbook Initiative UTMOST Math Careers Advice Knowls Library Books Reprint Collection Online Resources Videos Visitors Map: AIM Pasadena Directions: AIM Pasadena The AIM Facility in Pasadena Travel Restrictions Accessibility Child Care Code of Conduct FAQ About Contact AIM’s Mission Staff Post Doctoral Staff Governance Diversity History News News Stories Newsletters Donate Home The American Institute of Mathematics is a mathematical sciences research institute supported by the National Science Foundation and housed on the campus of Caltech in Pasadena, CA. Alexanderson Award The American Institute of Mathematics has announced the fifth Alexanderson Award. The award is given in honor of Gerald Alexanderson, Professor of Mathematics at Santa Clara University and founding chair of AIM’s Board of Trustees. The Alexanderson Award recognizes outstanding research articles arising from AIM research activities that have been published within the past three years. The recipients of this year’s Alexanderson Award are Kaisa Matomäki, Maksym Radziwiłł, Terence Tao, Joni Teräväinen, and Tamar Ziegler for their paper Higher uniformity of bounded multiplicative functions in short intervals on average” published in the Annals of Mathematics in 2023. The research originated from a working group at the AIM workshop Sarnak’s conjecture” in December, 2018 On January 3, 2024, all five recipients were honored at the Prize Session of the 2024 Joint Mathematics Meetings in San Francisco, and on January 4 Joni Teräväinen delivered the Alexanderson Award Lecture. Read more… AIM Director Brian Conrey with two of the award winners Terence Tao and Joni Teräväinen Congratulations to Rina Foygel Barber! On October 4, 2023, the John D. and Catherine T. MacArthur Foundation announced the 2023 MacArthur Fellows. Among this distinguished group is Rina Foygel Barber, Professor of Statistics at the University of Chicago and a member of AIM’s Scientific Research Board. Rina was also the organizer of an AIM SQuaRE. For a brief description of her work see the MacArthur Foundation announcement . AIM has moved to Pasadena! After more than two decades in the Bay Area, AIM has moved to its new home on the Caltech campus in Pasadena. On July 10, 2023, AIM began operating in the new Richard Merkin Center for Pure and Applied Mathematics, a research center and conference space that has been established in connection with AIM’s move to Caltech, with support from Richard N. Merkin and the Merkin Family Foundation. More information can be found under Visitors in theabove and also in the original announcement of the new AIM-Caltech partnership. 50 Years of Number Theory and Random Matrix Theory This past summer from June 21 to 24, the Institute for Advanced Study (IAS) in Princeton hosted a conference to celebrate the conversation between Hugh Montgomery and Freeman Dyson that took place in the IAS tea room in April 1972. It was then that anyone first realized that the distribution of distances between pairs of zeros of the Riemann zeta-function behaves (after rescaling) like the distribution of distances between the eigenvalues of large random Hermitian matrices. That conversation began what is now a 50 year long dialog between the areas of number theory and random matrix theory. The conference covered the history of the interaction, explored the current research, and presented many open questions of interest that promise to keep the dialog going into the future. For a list of speakers and titles see the conference website . The problem list from the conference is available.Math activities for students, teachers, families — just about everyone! AIM’s Math Communities website has a new calendar of upcoming math activities you can take part in. Math that feels good Creating learning resources for blind students Martha Siegel, Professor Emerita from Towson University in Maryland, was working with a blind student who needed a statistics textbook for a required course. The Braille version of the textbook required six months to prepare, a delay which caused the student a significant delay in her studies. Siegel reached out to Al Maneki, a retired NSA mathematician who is blind, and the two of them decided to do something about it. Focusing on math textbooks initially, Siegel and Maneki pulled together a collaborative team intent on solving the problem. We were shocked to realize there did not already exist an automated method for producing mathematics Braille textbooks,” said Alexei Kolesnikov, a colleague of Siegel at Towson University and member of the team. Read more… Upcoming Workshops The workshops marked with an * below are still accepting applications. Successful applicants receive funding for travel and accommodations. High-dimensional phenomena in discrete analysis . May 13-17, 2024 Groups of dynamical origin . June 3-7, 2024 Symmetry-breaking of optimal shapes . June 17-21, 2024 Formalising algebraic geometry . June 24-28, 2024 Culturally responsive and cognitively demanding informal mathematics tasks . June 30-July 2, 2024 Scissors congruences, algebraic K-theory and Steinberg modules . July 8-12, 2024 PreTeXt for small documents . July 15-19, 2024 Graph Theory: structural properties, labelings, and connections to applications . July 22-26, 2024 Research experiences for undergraduate faculty . July 29-August 2, 2024 Open source mathematics curriculum and assessment tools . August 5-9, 2024 PDE methods in complex geometry . August 26-30, 2024 Finite tensor categories: their cohomology and geometry . September 16-20, 2024 * Higher-dimensional log Calabi-Yau pairs . September 30-October 4, 2024 * Albertson conjecture and related problems . October 14-18, 2024 * Higher Du Bois and higher rational singularities . October 28-November 1, 2024 * Nilpotent counting problems in arithmetic statistics . November 11-15, 2024 * Low-degree polynomial methods in average-case complexity . December 9-13, 2024 * Motives and mapping class groups . January 27-31, 2025 * Geometric partial differential equations from unified string theories . February 10-14, 2025 AIM Newsletters AIM Now a Partner in the Joint Mathematics Meetings Along with 13 other mathematics organizations AIM became a partner in the Joint Mathematics Meetings beginning with the meeting in Boston, January 4-7, 2023. AIM’s partnership with the JMM will primarily highlight three initiatives: the Alexanderson Award and Lecture, the Math Circle Network, and the Open Textbook Initiative. More detail is available in the AMS News. Perspectives on the Riemann Hypothesis Held at the Heilbronn Institute, University of Bristol, in the summer of 2018, this was the fourth in a series of meetings devoted to progress on the Riemann Hypothesis. Read more… A Brief History of AIM Established in 1994 by businessman and math enthusiast John Fry, the American Institute of Mathematics is now located in Pasadena, California, on the Caltech campus. Originally located in Palo Alto, AIM moved to San Jose in 2015 and then to Pasadena in 2023. AIM’s mission is to advance mathematical knowledge through collaboration, to broaden participation in the mathematical endeavor, and to increase awareness of the contributions of the mathematical sciences to society. Since 2002 AIM has been part of the Mathematical Sciences Institutes program in the Division of Mathematical Sciences of the National Science Foundation. Read more... AIM receives major funding from the National Science Foundation and the Fry Foundation. AIM is one of the NSF Mathematical Sciences...