Analysis

The Analysis Program, administered by the National Science Foundation (NSF) within the Directorate for Mathematical and Physical Sciences (Division of Mathematical Sciences), supports fundamental research in mathematical analysis. Its purpose is to advance understanding in core areas such as complex, harmonic, and real analysis; functional analysis; dynamical systems and ergodic theory; operator theory and operator algebras; mathematical physics; and the study of partial differential equations and the calculus of variations. This program aims to expand the theoretical foundations of analysis and its connections with other fields in mathematics and applied sciences, strengthening the nation’s mathematical research ecosystem. NSF, an independent federal agency, provides competitive grants to advance scientific progress across disciplines. The Analysis Program represents one of its central investments in pure mathematics, encouraging investigator-driven projects that address fundamental problems while fostering innovation and collaboration. NSF seeks to maintain a balance between traditional core research and emerging directions that may lead to breakthroughs across mathematics, physics, and engineering. Proposals to the Analysis Program must align with the NSF Proposal & Award Policies & Procedures Guide (PAPPG) and are accepted through Research.gov or Grants.gov. Each submission must clearly articulate the research objectives, intellectual merit, and broader impacts. Proposers are responsible for ensuring compliance with all format and submission requirements before the published deadline. Proposals submitted outside the designated window are returned without review. The program also supports conferences and workshops through a separate solicitation titled “Conferences and Workshops in the Mathematical Sciences,” which should be submitted at least eight months before the event start date. Applications for full research proposals follow a recurring annual window, typically open from September 16 through September 30 each year, closing at 5:00 PM local time of the submitting organization. This recurring schedule allows investigators to plan multi-year research projects and coordinate with institutional submission timelines. Projects funded through this program are selected through NSF’s merit review process, which evaluates intellectual merit and broader impacts. Award amounts vary based on project scope, duration, and institutional context. Eligible applicants include U.S.-based institutions of higher education, nonprofit research organizations, and qualified individuals as permitted under NSF policies. The Analysis Program supports work nationwide without geographic restriction. There is no cost-sharing or matching requirement. Principal Investigators may contact the program directors, Dr. Marian Bocea (mbocea@nsf.gov, 703-292-2595) or Dr. Wing Suet Li (winli@nsf.gov, 703-292-4630), for questions about project fit or proposal preparation. The program’s recurring structure and defined submission windows enable continuity in research planning for the mathematical sciences community.