Project Grant 2503694
- The National Science Foundation Division of Mathematical Sciences awarded a $191,555 Project Grant to the University of South Carolina under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The three-year award, issued on September 1, 2021 and concluding on August 31, 2024, will support quantitative research into arithmetic statistics. As part of the Mathematical and Physical Sciences program's goal of strengthening the nation's scientific enterprise through...
- This federal Project Grant award, valued at $200,000.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049). The award funds collaborative research on non-homogeneous harmonic analysis, focused on matrix weights, Banach space valued Calderón–Zygmund operators, and singular integrals on graphs with cycles. The research aims to advance the mathematical understanding of various types of waves, which have broad...
- This $140,000 project grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) will develop new techniques in the study of harmonics and their applications to the structure of prime numbers. The research will focus on improving the understanding of p-adic geometry and its connections to automorphic forms, which have important applications in signal processing and cryptography. The project will provide training opportunities for...
- This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program provides funding for research on quantum analogues of low-complexity functions on the Hamming cube. The $171,227 award, effective June 15, 2025 through May 31, 2028, will be performed by the University of South Carolina. The goal is to extend classical Fourier analysis tools to the quantum setting, addressing challenges that arise when the dimension...
- This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) is focused on three distinct problems in number theory, combinatorics, and ergodic theory. The $184,738 award will support research on generalizations of Szemerédi's Theorem, which concerns the existence of long arithmetic progressions in sufficiently large sets of integers. The investigator will also study the size and structure of integer distance sets. Additionally, the...
- This Project Grant award of $193,010.00 from the National Science Foundation's (NSF) Division of Mathematical Sciences under the CFDA 47.049 Mathematical and Physical Sciences program supports research to develop connections between number theory and physics. The project aims to explore the representation theory of quantum groups and their applications in explaining the bridge between special functions in number theory and statistical mechanics. The research will provide training opportunities...
- This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program provides $182,494 to the University of South Carolina to conduct research on extremal problems related to cycles and spanning structures in graphs and hypergraphs. The research will explore classical extremal problems for Hamiltonian cycles and related topics such as pancyclicity, long cycles, and other spanning substructures in graphs. The project will also...
- This $227,796 Project Grant awarded by the National Science Foundation's (CFDA 47.049 - Mathematical and Physical Sciences) focuses on developing new mathematical techniques to more effectively analyze signals by carefully isolating their distinct parts in time, space, or frequency. The research aims to improve understanding of spatio-spectral limiting operators, which can significantly enhance everyday technologies like MRI machines, wireless communications, and scientific imaging. In...
- This federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $137,739 to support collaborative research on the interactions between algebra and geometry. The project aims to develop new mathematical tools that bridge these two foundational areas of mathematics, exploring connections through the lens of physics and homological mirror symmetry. Key objectives include advancing understanding in multigraded...
- The National Science Foundation (NSF) awarded a $310,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to The Washington University's Office of Sponsored Research Services Division. The grant supports fundamental mathematical research at the intersection of analytic function theory, harmonic analysis, and operator theory. The proposed work aims to leverage "testing theorems" to address open questions in these areas, which have applications in...
This Project Grant award, funded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049), provides $263,153 to the University of South Carolina to conduct research in arithmetic statistics and Fourier analysis. The research aims to explore connections between these fields, with a focus on developing coursework, hosting external speakers, and conducting outreach activities. Key research components include finite Fourier transform computations, improving error terms in number field counting results, and studying Sato-Shintani zeta functions outside their regions of absolute convergence. The award period runs from September 1, 2025 to August 31, 2028. No subawards are planned under this grant.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $263.2k | 7/30/25 |