The National Science Foundation (NSF) Algebra and Number Theory program funds research in algebra, algebraic and arithmetic geometry, number theory, and representation theory. Designed to support cutting-edge theoretical and applied research, this program encourages advancements in these areas to improve foundational knowledge and foster innovation in mathematical sciences. Researchers focused on algebraic structures, computational techniques, and number theory applications are prime candidates for this funding, which seeks to promote comprehensive studies and discoveries within these specialized mathematical disciplines.

The program also funds conferences, workshops, and related events in algebra and number theory, allowing for academic exchange and collaboration. For conference proposals under $50,000, applicants must submit six to twelve months prior to the event, while requests over $50,000 require nine to twelve months’ notice. These events must align with the goals of advancing mathematical science research and fostering communication within the academic community. Event organizers should follow specific guidelines outlined in the NSF’s “Conferences and Workshops in the Mathematical Sciences” program solicitation.

This program supports a range of projects, including standard research grants, collaborative groups, and training fellowships. Awards may be allocated to individual investigators, teams, or institutions focusing on any relevant aspect of algebra and number theory. Additionally, the NSF offers complementary programs that intersect with this initiative, such as the Faculty Early Career Development Program (CAREER) and Research Training Groups in the Mathematical Sciences (RTG). These programs may provide funding and training resources for early-career faculty, graduate students, and postdoctoral researchers to strengthen the mathematical sciences workforce.

Eligible applicants for research funding include institutions of higher education, independent researchers, and other qualified organizations or individuals actively engaged in mathematical research. The NSF emphasizes diversity, equity, and inclusion and encourages submissions from minority-serving institutions, women, and underrepresented groups in STEM fields.

To apply, applicants must follow the guidelines in the NSF Proposal & Award Policies & Procedures Guide (PAPPG) and submit proposals through Research.gov or Grants.gov. Research proposals should target the program's annual deadline, the second Friday in October. Extensions are rare and only granted for exceptional cases with prior approval from the program director.

Evaluation criteria include intellectual merit, potential impact on the field, and alignment with NSF’s broader mission to advance scientific knowledge. Proposals are reviewed based on innovation, research quality, and feasibility, as well as the qualifications of the principal investigator and their potential to contribute to the academic community.

The next target submission date is October 10, 2025, with annual deadlines on the second Friday in October thereafter.