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Focused Collaborative Research

The American Institute of Mathematics

Research Communities

AIM Research Communities (ARCs) are virtual 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. Most ARCs accept applications when they are starting and some accept applications periodically; please check the webpage associated with each ARC for information about how to apply to that ARC.  There are three main types of ARCs:  

  • The primary outcome of a Research Group  ARC is the production of research results and their dissemination via publications. Such ARCs often resemble an AIM workshop, but expanded in time, reduced in intensity, and held completely online.   This type of ARC often continues for years.

  •  A Research Learning Community ARC usually provides guided collaborative learning for graduate students and other junior researchers, often with mini-courses, tutorials, reading groups, etc.  This type of ARC usually lasts between one semester and one year..

  • A Research Network  ARC focuses on supporting the development of a particular research area through building a network, often bringing together experts in different areas who can help bridge gaps and strengthen collaborations among those with different scientific backgrounds.  This type of ARC often continues for years. 

For more information, please contact Leslie Hogben, Director of Research Communities, hogben@aimath.org.

AIM Quantum Research Community
Orly Alter, Ortwin Hess
Started Jan 2026 – Jan 2028
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In 1960, the quantum mechanist Eugene P. Wigner famously wrote about "The Unreasonable Effectiveness of Mathematics in the Natural Sciences." He was referring to the …

Arizona Winter School research community
Renee Bell, Brandon Levin
Started Apr 2025 – Apr 2027
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is a virtual companion to the Arizona Winter School, centered around two short courses each Fall aimed at advanced undergraduate and beginning graduate students broadly …

Consortium of digital ecosystems for mathematics
Steven Clontz, David Lowry-Duda
Started Apr 2025 – Apr 2027
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is dedicated to the advancement of mathematical research through the development of high-quality sociotechnical infrastructure, including mathematics software, databases, documentation, communities, and more. <p> We …

Ecology meets infectious diseases
Folashade Agusto, Eric Numfor
Started Apr 2025 – Apr 2027
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provides training in mathematical modeling of infectious diseases, ecological dynamics, and eco-epidemiological systems. <p> Over the course of one year, starting in August 2025, the …

Graph Polynomials and Invariants
Aihua Li, Sarita Nemani
Started Jan 2026 – Jan 2028
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Latinx mathematicians research community
Jesus De Loera, Pamela Harris
Started Jun 2021 – Jun 2027
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Little school dynamics
Kimberly Ayers, Han Li
Feb 2021 – Dec 2025
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Inverse eigenvalue problems for graphs
Jane Breen, Mary Flagg
Feb 2021 – Dec 2025
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Rethinking Number Theory
Heidi Goodson, Allechar Serrano Lopez
Jan 2022 – Dec 2025
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Link homology
Nicolle Gonzalez, Eugene Gorsky
May 2021 – Apr 2025
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4-dimensional topology
Miriam Kuzbary, Maggie Miller
Feb 2021 – Feb 2025
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Mathematics and climate research network
Kate Meyer, James Broda
Jan 2024 – Dec 2024
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provides intellectual support and mentoring to researchers at all career stages who are eager to identify and tackle mathematical questions raised by the urgent climate …

Fourier restriction conjecture and related problems
Alan Chang, Zane Kun Li
Mar 2022 – Mar 2024
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Big ideas in dynamics
Benjamin Call, Noelle Sawyer
Feb 2023 – Feb 2024
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focuses on collaborative learning among graduate students in dynamical systems, specifically smooth dynamics, ergodic theory, and homogeneous dynamics. There are three main goals to this …

Complex and Arithmetic Dynamics Research Environment
Laura DeMarco, Patrick Ingram
Jan 2022 – Jan 2023
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Representation theory and noncommutative geometry
Pierre Clare, Nigel Higson
Jan 2021 – Dec 2022
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