Project Grant 2401311
Award Date 8/1/24
Completion Date 7/31/27
Dollars Obligated $195K
Federal Agency
Federal Grant Program
Assistance Type
Project Grant
Place of Performance
Urbana, IL 61801, USA
Similar Awards
- 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...
- 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 $133,000 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program supports research in analytic number theory. The goal is to develop new analytical methods to study arithmetic problems that are at the boundary of classical techniques. Key aspects of the work include: Exploring interactions between analytic number theory and the theory of automorphic forms, using tools like the Kloosterman refinement of the circle method and...
- 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...
- The National Science Foundation (NSF) awarded a $210,000 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to the University of Chicago. The grant, with a performance period from July 2025 to June 2027, will support research on the p-adic aspects of the Langlands program in number theory. The principal investigator will study the relationship between number theory and harmonic analysis, with a focus on constructing a categorical p-adic local Langlands...
- This $125,986 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support the principal investigator's research in number theory. The key technical components of the research include studying p-adic deformations of geometric Maass-Shimura differential operators, generalizing the construction of p-adic L-functions, and investigating the p-adic properties of Eisenstein series to produce inputs for bounding Selmer...
- This federal Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) provides $232,711 to Kansas State University from September 1, 2025 to August 31, 2028 to support research on the distribution of L-functions and multiplicative functions, which are central topics in multiplicative number theory. The project aims to explore the statistical properties of L-functions, such as the distribution of their zeros and values, and to study the...
- This $242,337 federal Project Grant award was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program. The grant supports collaborative research to improve lattice-based cryptography, which is critical for secure digital communication and resistant to attacks from quantum computers. The project aims to develop more efficient lattice constructions, faster algorithms for lattice arithmetic, and improved cryptographic applications using...
- 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...
- This National Science Foundation project grant of $102,612 supports research at the University of Illinois from October 1, 2022 through May 31, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The award aims to advance understanding of dynamical systems and number theory through four objectives: developing methods in homogeneous dynamics to study rational points near manifolds and self-similar sets; techniques in random walk theory and representations of algebraic...