Geometric Analysis

The Geometric Analysis program is a funding initiative under the National Science Foundation (NSF), specifically within the Directorate for Mathematical and Physical Sciences and its Division of Mathematical Sciences. As a federal agency, NSF plays a pivotal role in promoting the progress of science, advancing national health, prosperity, and welfare, and securing national defense. This program aligns with NSF’s overarching mission by supporting foundational research in geometric analysis, a field intersecting differential geometry, partial differential equations, and modern mathematical physics. It aims to deepen understanding and foster innovation in geometric group theory, symplectic geometry, geometric data analysis, and global analysis, including convex, complex, integral, and information geometries. The scope of the Geometric Analysis program encompasses both theoretical research and applied methodologies that bridge mathematics with other scientific disciplines. It encourages proposals that explore the interaction of geometry with variational principles and partial differential equations, contributing to fields such as theoretical physics and data science. The program also funds geometric methods used in modern mathematical physics, reinforcing interdisciplinary collaborations. Importantly, the program extends support to conferences, workshops, and academic schools, thereby nurturing community-building, knowledge exchange, and mentorship in the discipline. For conference and travel-related proposals, applicants must submit under the program element code PD 22-1265 via Research.gov. Specific submission windows are provided: proposals with budgets up to $50,000 must be submitted during a window at least six months prior to the event, while those exceeding $50,000 should be submitted at least eight months in advance. These proposals must adhere to NSF’s Proposal & Award Policies & Procedures Guide (PAPPG), particularly regarding travel support for international events. Compliance with updated NSF research security policies is mandatory, including annual certification for foreign talent program disclosures and adherence to prohibited affiliations. The primary deadline for full proposals falls on the first Tuesday in November each year, with the upcoming due date set for November 3, 2026. This indicates a recurring submission cycle, allowing researchers to plan for subsequent rounds. All applicants must ensure that their proposals meet the NSF’s evolving requirements, including those outlined in the PAPPG in effect at the time of submission. Submissions through both Research.gov and Grants.gov are accepted, with guidelines applicable to each platform. Evaluation of proposals will be based on NSF’s standard merit review criteria, focusing on intellectual merit and broader impacts. Principal Investigators are advised to consult the program directors for further guidance. Contact details include Swatee Naik ([email protected]), Eriko Hironaka ([email protected]), Qun Li ([email protected]), and Paulo M. Lima-Filho ([email protected]). While the performance period is not explicitly mentioned, typical NSF projects range from one to five years depending on scope and complexity. Overall, the Geometric Analysis program is a critical opportunity for researchers to advance the frontiers of mathematics through both individual and collaborative efforts. By funding theoretical and applied work, it strengthens foundational knowledge while promoting interdisciplinary engagement across mathematical and physical sciences. Its structured deadlines and clearly defined eligibility ensure a transparent and accessible process for applicants nationwide.