Project Grant 2603581
- The National Science Foundation Division of Mathematical Sciences awarded The Trustees of Princeton University $150,000 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research in discrete geometry, extremal graph theory, and additive combinatorics. The project develops polynomial method tools to study high-dimensional incidence geometry, including applications to the Erdős distinct distances problem in dimensions three and higher, and examines...
- The National Science Foundation Division of Mathematical Sciences awarded The Trustees of Princeton University $180,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop new symplectic methods in low-dimensional Hamiltonian dynamics. The project aims to resolve four long-standing theoretical problems in Hamiltonian systems: Arnold's conjecture on magnetic geodesics on Riemannian surfaces, the distribution of periodic orbits for generic...
- The Trustees of Princeton University Office of Research and Project Administration, doing business as Princeton University, received a $370,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program. The award supports research to further develop Heegaard Floer homology, a topology invariant that can be used to study three- and four-dimensional phenomena in low-dimensional topology. The project aims to advance computational and...
- The National Science Foundation Division of Mathematical Sciences awarded The Trustees of Princeton University $300,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on metric space-valued hard analysis. The project addresses the development of analytic methods for studying mappings between geometric objects and collections of points in high-dimensional spaces. The investigators will devise approaches to extend classical harmonic...
- The Trustees of Princeton University received a $200,266 Project Grant award from the National Science Foundation Division of Mathematical Sciences. The grant falls under the NSF's Mathematical and Physical Sciences program (CFDA 47.049) to promote progress in these fields and enhance the Nation's scientific enterprise. The three-year award beginning July 1, 2021 will support research on Floer homology and immersed curve invariants in low dimensional topology conducted at Princeton University....
- The National Science Foundation Division of Mathematical Sciences awarded Massachusetts Institute of Technology $244,913 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to advance symplectic topology research connecting geometry, topology, number theory, and algebraic geometry. The award funds research in two directions. The investigator will study Frobenius structures on quantum D-modules and quantum connections from arithmetic, categorical, and...
- The National Science Foundation Division of Mathematical Sciences awarded Michigan State University $243,100 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on low-dimensional topology through Floer homology. The research investigates the classification and structure of three- and four-dimensional smooth manifolds using tools from gauge theory. The project explores homology cobordism groups, which enable three-manifolds to be studied...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Maryland, College Park $232,791 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support low-dimensional topology research focusing on the properties and symmetries of four-dimensional geometric objects using configuration spaces and gauge theory. The project runs through August 31, 2031, with performance at College Park, Maryland. Research encompasses three main...
- The National Science Foundation Division of Mathematical Sciences awarded The Trustees of Princeton University $300,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to study nonlinear phenomena in fluids and plasmas with applications to fusion research and astrophysics. The research addresses mathematical models and computational approaches to three core problems. The project includes a novel mathematical study of radiation effects on plasma dynamics;...
- Federal Grant Award Summary The National Science Foundation's Division of Mathematical Sciences awarded a Project Grant of $199,999 to Princeton University effective September 1, 2025, through August 31, 2028, under the Mathematical and Physical Sciences program (CFDA 47.049). The principal investigator will conduct fundamental research investigating the variational theory of minimal surfaces and their applications across differential geometry, topology, and mathematical physics. The research...
The National Science Foundation Division of Mathematical Sciences awarded The Trustees of Princeton University $100,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research in low-dimensional topology addressing diffeomorphisms of 4-manifolds, essential laminations, and geometric constraints on hyperbolic 3-manifolds. The research investigates smooth 4-manifold topology and foliation theory to globally understand three- and four-dimensional spaces. Specific objectives include developing methods to resolve the smooth 4-dimensional Schoenflies conjecture, discovering exotic smooth diffeomorphisms of the 4-sphere, investigating relations between taut foliations and transversely orientable essential laminations on hyperbolic 3-manifold groups, and examining Margulis numbers on hyperbolic 3-manifolds using techniques including artificial intelligence applications. The project incorporates undergraduate and beginning graduate student research and integrates background material and new findings into graduate-level instruction. No subawards are planned. Work is performed in Princeton, New Jersey. The period of performance runs September 1, 2026 through August 31, 2027.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $100.0k | 8/5/26 |