The American Institute of Mathematics stands in solidarity with the Black community and with peaceful protesters across the nation and the world in outrage, grief, and despair over the brutal police killing of George Floyd and many other Black individuals before him.
We believe that mathematics is a fundamental human endeavor, and we reaffirm AIM’s commitment to diversity and inclusion as essential to the health and development of our discipline. For many of us, the beauty of mathematics often provides a silent refuge from the chaos of the world. Let us not retreat from this moment, however, but instead commit to draw upon the power of mathematics as we work together to bring about systemic change and greater justice in our society.
Call for Proposals: Due November 1
The American Institute of Mathematics seeks proposals for three new virtual research programs. Successful proposals will receive access to a dedicated online platform with integrated tools to support research collaboration, as well as logistical support and training in best practices for facilitating virtual research activities.
AIM Virtual Workshops are collaborative activities for 20-30 people, focused on a specialized area of research mathematics. Modeled after the AIM-style workshops, the main feature is plenty of time for groups of 4-6 people to work on interesting problems, supported by a few lectures and large groups discussions. The expectation is that work begun during the workshop will continue long after the initial week. Participation in AIM Virtual Workshops is by invitation only, but open applications are accepted for approximately 1/4 of the available positions. Learn more.
AIM Virtual SQuaREs are collaborations of 4-6 people, focused on very specific research problems. AIM Virtual SQuaREs meet for one week, with the possibility of additional week-long meetings one year and two years later. Subject to availability, meetings in subsequent years may be in-person. Participation is limited to the individuals named in the proposal. Learn more.
AIM Research Communities are larger collaborative efforts, typically involving 40-60 researchers, organized around a particular specialty area of the mathematical sciences. The purpose of an AIM Research Community is to support the ongoing research activities of its participants. It is expected that Research Communities have a multi-year lifetime and grow over time. Learn more.
Please see the description of AIM virtual activities.
The deadline for applications is November 1, 2020, for activities which will begin in 2021. Questions or comments to firstname.lastname@example.org .
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.
Thursday, September 10, 2020
All workshops through December have been rescheduled or will be held virtually. All registered participants should have received more information via email.
All SQuaREs scheduled through the end of January 2021 have been postponed or will be held virtually. All participants have been sent further information via email about their SQuaREs.
- Ehrhart polynomials: inequalities and extremal constructions
September 14-18, 2020. Rescheduled for May 9-13, 2022.
- Postbaccalaureate and bridge programs in mathematics
October 5-6, 2020. Online in Sococo.
- Special holonomy and branes
October 26-30, 2020. Online in Sococo.
- Delta symbols and the subconvexity problem
November 2-6, 2020. Online in Sococo.
- Stability in mirror symmetry
December 7-11, 2020. Online in Sococo.
- Mathematics of topological insulators
December 7-11, 2020. Online in Sococo.
- All Upcoming Workshops
AIM Summer School on
Dynamics, Data and the COVID 19 Pandemic
For six weeks this summer more than forty graduate students and advanced undergraduates took part in an online summer program on the mathematics of this critical and timely topic. Students learned the basic mathematical epidemiology underlying the models used in studying COVID19. The program director was Chris Jones (UNC-Chapel Hill).
Faculty: Linda Allen (Texas Tech), James Broda (Bowdoin), Pauline van den Driessche (UVic), Hans Engler (Georgetown), John Gemmer (Wake Forest), Hans Kaper (Georgetown), Richard McGehee (Minnesota), Jack O’Brien (Bowdoin), Nancy Rodriguez (CU-Boulder), Christian Sampson (UNC-Chapel Hill), Mary Silber (Chicago), Erik Van Vleck (Kansas), Jianhong Wu (YorkU), Abdul-Aziz Yakubu (Howard) and Mary Lou Zeeman (Bowdoin).
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…
Presentation of the 2019 Alexanderson Award
The American Institute of Mathematics has awarded the second annual Alexanderson Award. This 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.
Receiving this year’s award are Paul Bruillard, Siu-Hung Ng, Eric C. Rowell, and Zhenghan Wang for their paper “Rank-finiteness for modular categories” published in the Journal of the American Mathematics Society in 2016. The award was presented at the Alexanderson Award Ceremony and Lecture on the evening of October 4, 2019, in the Recital Hall of Santa Clara University. The lecture was given by Jordan Ellenberg, engaging author of the book How Not to Be Wrong.
Exploring the Mathematical Universe
A team of more than 80 mathematicians from 12 countries is charting the terrain of rich, new mathematical worlds, and sharing their discoveries on the Web. The “L-functions and Modular Forms Database (www.LMFDB.org)” started more than 5 years ago with funding to AIM from the National Science Foundation. The project has just announced its official release, providing a new and powerful tool for students and researchers in several areas of mathematics. Read more…
It is human nature to try to classify things–that is, to sort them into organized types. Many of the central problems in mathematics are problems of classification of various types of related mathematical objects. The classification of finite groups, for example, was a landmark accomplishment of the last century, and the classification of manifolds continues to challenge topologists.
The AIM SQuaRE “The global dynamics of Thurston’s pullback map” with participants, William Floyd, Gregory Kelsey, Sarah Koch, Russell Lodge, Walter Parry, and Kevin Pilgrim, sought to classify the particular dynamical systems known as nearly Euclidean maps. The late mathematician William Thurston studied—among many other things—dynamical systems resulting from repeated iteration of a mapping from the two-dimensional sphere to itself. Applying a mapping over and over again, and watching what happens to a point, can produce fantastic and beautiful patterns that are intriguing to mathematicians. He focused on some particularly nice ones, the Euclidean Thurston maps, which are fully understood and classified using the tools and concepts of linear algebra. But much less well-understood is the much larger family of nearly Euclidean Thurston (NET) maps—the very simplest generalizations of the Euclidean ones. These are the dynamical systems studied by this SQuaRE.
It turned out that the tools they used borrowed from an amazing range of areas of mathematics. Moreover, it also turned out that the classification of NET maps could be made practical in the sense that computer algorithms could be developed and used to systematically list and study examples. The elaborate web site produced by the participants shows the effectiveness of the algorithms that they developed for answering many basic questions. Read more…
Math Teachers’ Circle Network Named as Partner in 100Kin10
NEW YORK, Feb. 17, 2016 — 100Kin10, a national network coordinating and accelerating efforts to bring 100,000 new excellent science, technology, engineering, and math (STEM) teachers into schools by 2021, announced today that the Math Teachers’ Circle Network has been accepted as a partner. The Math Teachers’ Circle (MTC) Network is one of 49 new partners to join a network of now over 280 of the country’s top businesses, nonprofits, foundations and academic institutions to help achieve the goal of 100,000 excellent STEM teachers.
Established at AIM in 2006, Math Teachers’ Circles bring teachers together with mathematicians in a professional environment for mathematical problem solving. The goals are to engage teachers in thinking deeply about mathematics and to build a community of mathematics professionals dedicated to improving education for all students. The MTC Network helps start new MTCs across the U.S. and provides organizational resources to support their activities. As part of 100Kin10, the Math Teachers’ Circle Network has committed to reach 6,000 teachers and their 600,000 students by growing its national network from 80 to 300 Math Teachers’ Circles by 2020. Read more…
Math in the Quest for Sustainable Agriculture
Just sixty miles from AIM is the Pajaro Valley, one of the richest agricultural regions of the world, an ideal location for fresh berries, vegetables, and flowers. But the valley’s water source is a confined aquifer that is slowly being depleted. With California now in the third year of a serious drought, the problem is even more acute. There is hope, however, that the overdraft can be remedied and the water usage brought back into balance by using a combination of strategies. Mathematically, the problem can be modeled as a large constrained optimization problem, which is exactly what an AIM workshop began working on a little over two years ago.