Project Grant 2502599
- This $194,933 federal Project Grant award was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program. The grant is being awarded to the University of Illinois to support research on the non-vanishing of L-functions, which are fundamental objects in number theory with applications in areas like cryptography and the distribution of prime numbers. The project has three main components: 1) Developing new techniques to establish strong...
- 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 Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program will support research by the principal investigator on p-adic L-functions and Selmer groups in number theory. The $125,986 award, with a performance period from August 15, 2025 to July 31, 2027, will fund investigations into connections between the arithmetic properties of polynomial equations and the behavior of their associated L-functions. The research will...
- This $126,180 National Science Foundation Project Grant, awarded on July 1, 2024 through the Mathematical and Physical Sciences (CFDA #47.049) program, supports research at the University of Mississippi on the properties of L-functions and their connections to classical problems in number theory. The project aims to use tools from Fourier analysis, zeros of L-functions, and modular forms to investigate topics such as bounding the least quadratic non-residue modulo a prime, the least prime in...
- 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...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research into analytical problems involving automorphic forms and L-functions, which are important tools for understanding the distribution of prime numbers. The $152,334 award to Rutgers, The State University will fund work to develop properties of new families of L-functions, study high moments of L-functions, and establish large sieve inequalities for...
- This Project Grant award of $293,046 from the National Science Foundation's (NSF) Division of Mathematical Sciences, under the Mathematical and Physical Sciences (CFDA 47.049) Federal Grant Program, supports fundamental research on higher-dimensional spaces and their applications. The principal investigator (PI) at Kansas State University (KSU) will investigate problems related to four-dimensional spaces, including detecting differences between smooth geometric objects and studying stabilization...
- This $119,000 Project Grant award from the National Science Foundation's (CFDA 47.049) Mathematical and Physical Sciences program concerns research in number theory. The principal investigator will seek to advance the boundaries of "large sieve inequalities" - an important mathematical tool used to study arithmetic sequences over prime numbers and the values of L-functions. The research aims to make progress on fundamental problems in number theory, including predictions about...
- This $174,000 federal Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences supports research on the Langlands program, a foundational area of mathematics with connections to physics and computer science. The principal investigator (PI) will explore the representation theory of reductive groups and the theory of automorphic forms, with the primary objectives of studying the multiplicity problem for spherical varieties and using the relative trace...
- 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 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 distribution. Additionally, the project will explore the statistical phenomenon known as Benford's Law in the context of multiplicative functions. The award will facilitate research training and collaboration opportunities for students and postdocs, as well as outreach activities for middle school students and math circles.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $232.7k | 8/14/25 |