Project Grant 2556024
- The National Science Foundation Division of Mathematical Sciences awarded Saint Louis University a three-year Project Grant totaling $332,696 under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant supports research into expanding the mathematical theory of phase retrieval and saturation recovery using techniques from frame theory, probability, and Banach space geometry. Key products include identifying the exact redundancy necessary for phase retrieval and...
- Federal Grant Award Summary The National Science Foundation (NSF), Division of Mathematical Sciences, awarded $200,000 to the University of California, Los Angeles under the Mathematical and Physical Sciences program (CFDA 47.049) for the period July 1, 2026 through June 30, 2029. The project, "Interactions of Fourier Restriction with Fractal Geometry and Number Theory," delivers mathematical research and analysis focused on understanding the refined behavior of the Fourier transform...
- Federal Project Grant Award Summary The National Science Foundation's Division of Mathematical Sciences awarded Princeton University a $300,000 project grant effective July 15, 2025, through June 30, 2028, under the Mathematical and Physical Sciences program (CFDA 47.049). This award supports the development of novel computational methods and robust mathematical theory for signal recovery from highly corrupted and distorted data. The project will produce advanced algorithms capable of extracting...
- Federal Grant Award Summary The National Science Foundation (NSF) Division of Mathematical Sciences awarded $209,660 to the University of California Irvine under CFDA 47.049 (Mathematical and Physical Sciences) on August 1, 2026, for the project "Stochastics for Generative Modeling and Applications to Inverse Problems." This three-year project (through July 31, 2029) develops novel mathematical and artificial intelligence (AI) methodologies to enhance imaging technologies used in...
- Federal Grant Award Summary Louisiana State University received a $215,830 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective July 1, 2025 through June 30, 2028. The award funds fundamental research in harmonic analysis on manifolds, with a focus on developing mathematical tools to study the regularity properties and space-time behavior of solutions to the linear Schrödinger...
- Federal Grant Award Summary The National Science Foundation (NSF) Division of Mathematical Sciences awarded the University of Massachusetts $100,000 under the Mathematical and Physical Sciences (CFDA 47.049) program for a two-year project grant effective September 1, 2025 through August 31, 2027. This project delivers fundamental research and educational products in low-dimensional topology and geometry, with particular focus on advancing understanding of four-dimensional manifolds equipped with...
- Federal Grant Award Summary The University of Missouri System received a $140,000 Project Grant from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective August 1, 2025, through July 31, 2028. This collaborative research initiative focuses on advancing the theoretical understanding of flow-based generative models, including diffusion models, through geometric mathematical perspectives. The research...
- Federal Grant Award Summary The National Science Foundation (NSF) awarded The Leland Stanford Junior University a $677,600 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) effective September 15, 2025, with a completion date of August 31, 2028. The project, titled "AIMING: AI Theorem Proving Beyond Limited Data: Efficient Learning of Mathematicians' Ecosystem," develops artificial intelligence (AI) systems designed to accelerate mathematical research and...
- Federal Grant Award Summary The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $159,995 Project Grant to Washington University (awarded July 1, 2025; completion June 30, 2027) under the Mathematical and Physical Sciences program (CFDA 47.049) to support fundamental research on algebraic cycles and normal functions. The project applies Hodge theory techniques to analyze solutions of differential equations across mathematics and physics, with particular focus on...
- Federal Grant Award Summary Georgetown University received a $201,757 Project Grant award from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective July 1, 2026, through June 30, 2029. The award funds theoretical and computational research on weak convergence effects of vector fields constrained by general linear partial differential equations (PDEs). The project delivers research outputs that...
Saint Louis University received a $200,000 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective July 15, 2026, with completion targeted for June 30, 2029. The project addresses phase retrieval and nonlinear frame theory, developing advanced mathematical methods that extend classical frame theory to nonlinear mappings formed by composing linear analysis operators with Banach lattice operations. The research aims to establish mathematical foundations for analyzing the composition of linear maps with nonlinear functions, with applications spanning signal processing, data science, and artificial intelligence (AI). The project delivers fundamental mathematical research products addressing critical gaps between applied tools and existing mathematical theory in several domains. Primary deliverables include new analytical methods connecting frame theory, Banach space geometry, and probability theory to characterize signal recovery from corrupted or incomplete data—applicable to digital imaging saturation problems, X-ray crystallography magnitude-only measurements, and neural network structure analysis underlying modern AI systems. The grant also supports workforce development through graduate student and early-career researcher training at the intersection of pure and applied mathematics, contributing to building scientific expertise in these foundational mathematical domains.Federal Grant Award Summary
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 7/7/26 |