Project Grant 2554859
- Chapman University received a $110,798 Project Grant award from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) for the period of September 1, 2022 through August 31, 2025. The award will support fundamental mathematical research on multilinear harmonic analysis and its applications to ergodic theory and combinatorics. Key products and services include the development of integral transformations...
- Federal Project Grant Award Summary The National Science Foundation (NSF), Division of Mathematical Sciences, awarded $300,000 to the University of California Irvine on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research in discrete approximation theory through July 31, 2029. The research program develops mathematical tools and theoretical frameworks for analyzing functions on discrete and Gaussian spaces, with applications to machine learning,...
- Federal Project Grant Award Summary The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $300,000 project grant to the University of California, Irvine effective July 1, 2025, through June 30, 2028, under the Mathematical and Physical Sciences program (CFDA 47.049). This award supports fundamental mathematical research organized around two complementary research streams: higher Lie theory and resolvent problems. The principal investigator will develop new theoretical...
- This National Science Foundation Project Grant award of $120,720 supports research and educational activities in the field of harmonic analysis at the University of Massachusetts Lowell from September 2022 through August 2025. The award is funded through the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to advance scientific knowledge and understanding in these fields. Specifically, the award will support research on several topics in real and discrete harmonic...
- 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 Grant Award Summary The National Science Foundation (NSF) Division of Mathematical Sciences awarded $217,008 to the University of Massachusetts Lowell under the Mathematical and Physical Sciences program (CFDA 47.049) for a three-year Project Grant spanning September 1, 2026, through August 31, 2029. This award supports foundational research in real and discrete harmonic analysis, focusing on the theoretical development of mathematical operators that decompose, filter, and detect...
- This $246,525 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will support fundamental research at the University of California, Irvine (UC Irvine) in the areas of spectral theory, several complex variables, and the geometry of Laplacian eigenfunctions. The key research objectives include investigations into the inverse spectral problem, the structure of Laplacian eigenfunctions, and the asymptotic behavior of Bergman...
- This three-year, $298,267 National Science Foundation Project Grant supports research at Michigan State University on non-homogeneous harmonic analysis, spectral theory, and weighted norm estimates as they relate to singular integrals. Singular integrals are mathematical objects that feature in the study of partial differential equations with diverse applications. This award will further the understanding of singular integrals in non-smooth settings through consideration of weighted...
- This federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $399,625 to California State University Channel Islands (CSUCI) to explore the intersections of nonlocal vector calculus and the mathematics of intelligences. The research aims to advance mathematical theories and models to contribute to fields ranging from artificial intelligence to natural and cognitive sciences. The project will formulate new...
- Project Grant Summary Ball State University received a $125,349 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences (CFDA 47.049: Mathematical and Physical Sciences) beginning July 1, 2026, and concluding June 30, 2029. The award funds research on "Mappings and Flatness in Non-Smooth Geometry," which extends classical calculus and analysis tools to non-smooth functions, sets, and abstract geometric spaces. The principal investigator is advancing...
Project Grant Summary: Multilinear Singular Integrals and Applications Chapman University received $133,477 in funding from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) for a three-year project period beginning July 1, 2026 and concluding June 30, 2029. The project delivers foundational mathematical research and scholarly outputs focused on developing new inequalities for integral transformations within harmonic analysis—a core mathematical discipline with applications to signal processing, medical imaging, communications technology, and quantum physics. The research specifically addresses multilinear singular integrals and their implications for ergodic theory, dynamical systems convergence questions, and combinatorial problems involving arithmetic and geometric configurations within large sets. The award supports multiple research outputs and scholarly activities, including the development and formal verification of mathematical theorems using computer-assisted verification methods to contribute to the emerging field of formally verified mathematics. The project incorporates efforts to build machine-verifiable libraries of mathematical results that support future research reliability and accessibility. Additionally, the funding supports the organization of seminars and workshops that facilitate knowledge exchange and collaboration among mathematicians, thereby advancing the broader harmonic analysis research community and enhancing dissemination of project findings.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $133.5k | 6/25/26 |