Project Grant 2452462
- The National Science Foundation (NSF) awarded a $133,000 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to the University of California, Davis (UC Davis) for research in analytic number theory. The funding will support efforts to develop and exploit new analytical methods to study arithmetic problems that are at the boundary of classical techniques, with the goal of advancing understanding in areas such as cryptography, information theory, physics,...
- 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 $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...
- The National Science Foundation (NSF) awarded a $246,000 Project Grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to Princeton University. The grant, with a period of performance from July 1, 2025 to June 30, 2027, supports fundamental research in number theory. The principal investigator will develop new probabilistic models and multiple Dirichlet series to advance the understanding of Galois groups and L-functions, which have applications to prime number...
- This $210,000 Project Grant awarded by the National Science Foundation Division of Mathematical Sciences under the CFDA Program 47.049 "Mathematical and Physical Sciences" will fund research in algebraic combinatorics and braid varieties. The project aims to use algebraic methods to produce new combinatorial results with applications in areas like cryptography, protein folding, high-energy physics, and quantum computing. Specifically, the funds will support exploring the use of braid...
- The National Science Foundation Division of Mathematical Sciences awarded a $141,400 Project Grant to the University of Illinois under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support research into Galois structures and arithmetic statistics in number theory from August 15, 2022 to July 31, 2025. Specifically, the principal investigator and collaborators will modify non-abelian Cohen-Lenstra heuristics when the base field contains roots of unity;...
- This $150,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on two open problems in algebraic combinatorics that intersect representation theory and algebraic geometry. The principal investigator and collaborators aim to use combinatorics to better understand these abstract mathematical objects in a more concrete way, with potential applications in mathematics, physics, and human-machine...
- This federal Project Grant award, valued at $232,711.00 and funded by the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049), supports research by the principal investigator at Kansas State University on distribution questions in L-functions and multiplicative functions in number theory. The research aims to provide insight into the properties and structures of families of L-functions, which have applications in areas such as cryptography and prime number...
- 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 from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $205,601 to the University of Massachusetts for research related to enumerative, algebraic, and asymptotic combinatorics with connections to representation theory and geometry. Specifically, the award supports three research projects that will study problems in graph colorings, Schubert polynomials, and integer flows on graphs...
This federal Project Grant award of $288,480.00 from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support fundamental mathematical research to advance the understanding of the connections between addition and multiplication in number systems. The principal investigator will develop new techniques in additive combinatorics and multiplicative number theory to tackle complex problems involving prime numbers, smooth numbers, and general multiplicative functions. The findings could benefit fields like cybersecurity by leading to stronger encryption methods, as well as enhance data transmission and storage systems through improved reliability. The project will also train students and contribute to educational outreach through math competitions and K-12 programs. This award to the University of Kentucky Research Foundation is scheduled to run from August 15, 2025 to July 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $288.5k | 8/5/25 |