The National Science Foundation (NSF) offers funding through its Topology program, which supports research in various subfields of topology. This includes algebraic topology, differential topology, geometric group theory, and general topology, as well as continua theory. The program covers a broad range of topics such as homotopy theory, homology and cohomology theories (both ordinary and extraordinary), cobordism theory, K-theory, topological manifolds, cell complexes, fiberings, knots, and links. Research in the differential topology field may include studies on the actions of transformation groups, and the program also seeks to foster advancements in geometric group theory.

Proposals for funding are accepted for both research projects and conferences, workshops, and other educational activities in topology. Conference and travel proposals must adhere to specific submission windows, which are open from September 1 to 30 and April 1 to 30 annually. Proposals with a budget under $50,000 must be submitted at least six months in advance of the event, while those with budgets exceeding $50,000 should be submitted at least eight months before the event. These guidelines ensure that sufficient time is allocated for reviewing the proposals and preparing for the events. Principal Investigators (PIs) are urged to carefully follow the NSF Proposal & Award Policies & Procedures Guide (PAPPG) to meet all necessary submission requirements. Additionally, travel support for international events requires adherence to specific criteria outlined in the solicitation.

The next target date for submitting full research proposals is November 5, 2024, a deadline that recurs annually on the first Tuesday of November. Applications can be submitted through either Research.gov or Grants.gov, using the guidelines specific to each platform. Researchers interested in submitting proposals must ensure that their applications comply with the policies in effect for the relevant submission window.

The program is managed by the Division of Mathematical Sciences (DMS) within the Directorate for Mathematical and Physical Sciences (MPS). For specific inquiries, applicants may contact program directors, whose contact details are provided on the NSF website. Additionally, potential applicants can explore past projects and awards funded through the Topology program, which may offer useful insights and examples of successful proposals.

This funding opportunity is designed for researchers, scholars, and academic institutions involved in the study of topology. By fostering high-level research and collaborative events, the program aims to support the continued growth and development of this foundational area of mathematics. Applicants should focus on how their proposals can contribute to advancements in the theoretical and applied aspects of topology, ensuring alignment with the goals of the NSF and the broader mathematical sciences community.