Project Grant 2604754
- 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 $133,960 under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) for the project "K-STABILITY AND HIGHER DIMENSIONAL GEOMETRY" from June 1, 2021 to May 31, 2022. The award aimed to advance understanding of major problems in mathematics through research on K-stability and higher dimensional geometry to be conducted at Princeton University in...
- Federal Project Grant Award Summary The National Science Foundation's Division of Mathematical Sciences awarded Princeton University $350,000 under the Mathematical and Physical Sciences program (CFDA 47.049) for a three-year project beginning July 1, 2025 and concluding June 30, 2028. The project, titled "Distortion Growth," addresses fundamental research challenges in understanding how geometric spaces with distance-based structures can be embedded into simpler, more...
- The National Science Foundation Division of Mathematical Sciences awarded The Trustees of Princeton University $350,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop innovative methods for analyzing complex, heterogeneous datasets represented as non-negative matrices or tensors. The project addresses analytical challenges posed by relational data such as health records, social networks, and ranking systems that exhibit sparse signals,...
- 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...
- The Trustees of Princeton University were awarded a $364,540 Project Grant from the National Science Foundation Division of Mathematical Sciences on August 1, 2021 to complete the project by July 31, 2024. The grant supports the project "UNUSUAL CONCENTRATION PHENOMENA IN PROBABILITY, ANALYSIS, AND GEOMETRY" under the Mathematical and Physical Sciences program (CFDA 47.049). This program aims to promote progress in the mathematical and physical sciences to strengthen the nation's...
- The National Science Foundation Division of Mathematical Sciences awarded Princeton University a $101,060 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to support the research project "Geometric Analysis of Einstein Manifolds and Their Generalizations" from October 1, 2021 through May 31, 2022. Under this award, Princeton University researchers conducted mathematical and physical sciences research focused on geometric analysis of...
- The National Science Foundation Division of Mathematical Sciences awarded The Trustees of Princeton University a $285,000 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) for work on "Stochastic Optimal Control with High Dimensional Data." This three-year award, which began on June 15, 2021 and runs through May 31, 2024, will support Princeton University's efforts to promote progress in the mathematical and physical sciences through...
- 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 National Science Foundation Division of Mathematical Sciences awarded The Trustees of Princeton University $180,000 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate extremal combinatorics, including old and new problems in combinatorics and discrete geometry, erasure codes and their connection to hypercube extremal problems, and geometric and combinatorial designs. The project will examine graph codes as a natural variant of classical...
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 analysis techniques—which rely on linear structure and frequency decomposition—to nonlinear and curved geometries where such concepts lack conventional meaning. The work focuses on proving metric Poincaré inequalities for mappings into nonlinear target spaces, with applications to numerical estimation problems on curved surfaces, network analysis, and statistical inference from high-dimensional datasets. Performance occurs at Princeton, New Jersey through August 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $300.0k | 7/24/26 |