AIM supports research activities that align with its mission to advance mathematical knowledge through collaboration and to broaden participation in the mathematical endeavor. About 1,000 mathematicians visit AIM each year to participate in focused workshops or small research groups called SQuaREs. Hundreds of other mathematicians are involved in virtual AIM Research Communities.
Workshops, SQuaREs, and AIM Research Communities are proposed by the mathematics community each year during our open Call for Proposals. Proposals are reviewed by AIM's Scientific Board, which selects approximately 20 workshops and 25 new SQuaREs to support each year.
AIM hosts focused workshops in all areas of the mathematical sciences. AIM workshops are distinguished by their emphasis on a specific mathematical goal, such as making progress on a significant unsolved problem, understanding the proof of an important new result, or examining the convergence of two distinct areas of mathematics.
AIM's process for supporting collaboration has been honed over many years and has evolved into a distinct "AIM-style of workshop." If you will be attending or proposing to organize an AIM workshop, we encourage you to read about what to expect here. [link AIM style of workshp page].
All AIM workshops have an open application process. Upcoming workshops marked with an asterisk (*) are still accepting applications. Successful applicants will communicate the alignment of their research interests with the topics in the workshop and their readiness to enter into collaborative research projects.
Pages to link to:
AIM style of workshop
AIM’s SQuaREs program allows a dedicated group of four to six mathematicians to pursue an ambitious research program. The group spends a week (Monday through Friday) at AIM’s facility in Pasadena, California collaborating on specific research goals. Members of a SQuaRE may have an existing collaboration from an AIM workshop or similar activity, or the SQuaRE may provide an opportunity for a new collaboration to grow.
AIM provides research facilities and financial support for each member of the group (travel and local expenses), and the group may return in future years to continue their collaboration. Each group will be supported for up to three meetings over three consecutive years.
AIM supports SQuaREs in all areas of pure and applied mathematics. AIM has a goal of increasing the participation of women, minorities, junior researchers, and faculty from primarily undergraduate institutions, and priority will be given to proposals which align with these goals. In addition, it is required that a majority of participants are from North America, with at least one participant from a US institution.
Pages to link to:
AIM Research Communities are larger collaborative efforts involving at least 40 people, organized around a particular area of research in 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 long lifetime and grow over time.
AIM Research Communities are tailored to the particular needs of the group. Some Communities have more emphasis on seminars and colloquia, while others focus more on small working groups. Some prefer to limit their scope, while others are open to incorporating new members and branching out in new directions. AIM Research Communities offer a platform for exploring new modes of collaboration.
Pages to link to:
New Research Communities
All AIM Research Communities
Research Experiences for Undergraduate Faculty (REUF) is a program of the American Institute of Mathematics (AIM) and the Institute for Computational and Experimental Mathematics (ICERM), made possible by the support from the National Science Foundation (NSF).
REUF encourages and supports mathematics faculty at colleges and universities that emphasize undergraduate education who want to engage their students in research activities. Each annual cycle includes a week-long REUF workshop during the summer and additional activities for participants afterwards to support continuation of research engagement sparked by the workshop. In addition, participants become members of the long-term REUF community. The REUF program actively recruits faculty from colleges and universities that serve large numbers of underrepresented minority students, students with disabilities, and/or first generation college students, as well as faculty who are members of underrepresented minorities.
The goals of REUF are:
The next REUF workshop will take place at ICERM in Summer 2025.
Page to link:
REUF webpage?
The Mathematical Sciences Institutes Diversity Initiative (MSIDI) is a collaboration among the US Mathematical Sciences Institutes, supported by a grant from the National Science Foundation, to increase the participation of underrepresented groups in the mathematical sciences, including women, underrepresented racial and ethnic minorities, and persons with disabilities. As part of this collaboration, AIM hosts two early graduate research workshops which support students in their transition to research. These workshops are designed to build a diverse, welcoming, and inclusive research community, particularly supportive of women and non-binary students of color. Each of these workshops meets biannually, with reuion meetings held in the off years.
The AMIGAs workshops (Applied Mathematics skills Improvement for Graduate studies Advancement) provide students with computational and professional skills to aid them in successfully entering an applied mathematics research environment. The program includes tutorials, professional development activities, and research talks related to the mathematics of data science and its applications.
The next AMIGAs workshop will take place at AIM from June 23 – 27, 2025.
Roots of Unity is a biannual workshop that aims to support graduate students in algebra, geometry, topology, combinatorics, and related fields in their transition to research. Mentors guide small groups of participants in developing the skills and confidence to read research articles. Sessions on norm setting, belongingness, and professional development foster lasting community among the participants, mentors, and organizers.
The next Roots of Unity workshop will take place at AIM from June 22 – 26, 2026.
Pages to link:
AMIGAs webpage
Roots of Unity webpage
The Alexanderson Award recognizes an outstanding scholarly article arising from research activities sponsored by the American Institute of Mathematics and published within the past three years. The award was established in 2018 to honor the contributions of Gerald Alexanderson, Professor of Mathematics at Santa Clara University and founding chair of AIM’s Board of Trustees. As its first chair, Jerry provided the stewardship that has distinguished AIM as an international center for mathematical research with a commitment to productive and creative collaboration.
AIM is pleased to announce the winners of the 2024 Alexanderson Award: The paper "Energy on spheres and discreteness of minimizing measures," by Dmitriy Bilyk, Alexey Glazyrin, Ryan Matzke, Josiah Park, and Oleksandr Vlasiuk and published in the Journal of Functional Analysis in 2021 was selected for recognition.
The award will be given at the Joint Mathematics Meetings Awards Celebration, to be held from 4:45 p.m. – 5:45 p.m. on Wednesday, January 8, 2025 in Seattle. Dmitriy Bilyk will deliver the AIM Alexanderson Award Lecture at the JMM on Thursday, January 9 from 10:50 a.m. – 11:55 a.m.
[Each of these should be a link to the story]
2024 Alexanderson Award: "Energy on spheres and discreteness of minimizing measures," by Dmitriy Bilyk, Alexey Glazyrin, Ryan Matzke, Josiah Park, and Oleksandr Vlasiuk.
2023 Alexanderson Award: “Higher uniformity of bounded multiplicative functions in short intervals on average,” by Kaisa Matomäki, Maksym Radziwiłł, Terence Tao, Joni Teräväinen, and Tamar Ziegler.
2022 Alexanderson Award: “Modularity of generating series of divisors on unitary Shimura varieties,” by Jan Bruinier, Benjamin Howard, Stephen S. Kudla, Michael Rapoport, and Tonghai Yang.
2020 Alexanderson Award: “Uniform Manin–Mumford for a family of genus 2 curves,” by Laura DeMarco, Holly Krieger, and Hexi Ye.
2019 Alexanderson Award: “Rank-finiteness for modular categories,” by Paul Bruillard, Siu-Hung Ng, Eric C. Rowell, and Zhenghan Wang.
2018 Alexanderson Award: “Free energy fluctuations for directed polymers in random media in 1+1 dimensions,” by Alexei Borodin, Ivan Corwin, and Patrik Ferrari.