Project Grant 2601918
- Federal Project Grant Award Summary Kansas State University received a $232,711 Project Grant from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective September 1, 2025 through August 31, 2028. The award supports fundamental research in multiplicative number theory, specifically investigating distribution questions in L-functions and multiplicative functions. The research program focuses on analyzing...
- 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 Directorate for Mathematical and Physical Sciences awarded Kansas State University $251,327 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research in quasiconformal geometry of random and deterministic spaces. The project investigates conformal and quasiconformal mappings in spaces arising from complex analysis, geometric function theory, probability, and low-dimensional topology. The work emphasizes...
- 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 Division of Mathematical Sciences awarded New York University $163,189 on January 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop connections between analytic number theory and other areas of mathematics, specifically dynamics and probability theory. The research explores how deterministic processes randomize when sampled at regularly spaced intervals (the integers), and applies techniques from probability and mathematical...
- The National Science Foundation Division of Mathematical Sciences awarded a $208,579 project grant to the University of Mississippi from July 1, 2021 to June 30, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support research into the distribution of zeros of L-functions and related questions. The Mathematical and Physical Sciences program aims to strengthen the nation's scientific enterprise by promoting progress in mathematics and physical sciences...
- The National Science Foundation (NSF) awarded a $220,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to Duke University. The funding will support research by the principal investigator to develop generalized Poisson summation formulae, which are expected to establish the properties of certain L-functions critical to advancing the Langlands functoriality conjecture - a central problem in mathematics with broad implications across fields ranging from number...
- The National Science Foundation Division of Mathematical Sciences awarded Kansas State University $362,021 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to operate the REU SITE: Summer Undergraduate Mathematics Research at Kansas State University (SUMAR at K-State) program. The award funds a ten-week summer research program that recruits ten undergraduate students annually to conduct mentored mathematics research on the Kansas State campus in Manhattan,...
- Federal Project Grant Award Summary The National Science Foundation (NSF) Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), awarded Kansas State University $270,619 on August 15, 2025, for collaborative research on higher-dimensional holomorphic dynamics. The project, funded jointly with the Romanian Executive Agency for Higher Education, Research, Development and Innovation Funding (UEFISCDI), will advance mathematical understanding of...
- 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...
The National Science Foundation Division of Mathematical Sciences awarded Kansas State University $253,204 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research on analytic theory of L-functions and related problems in number theory. The funded research addresses fundamental questions about families of L-functions, which connect classical number theory with representation theory, algebraic geometry, harmonic analysis, and theoretical physics. Work focuses on two related areas: subconvexity bounds and the distribution of values and zeros of L-functions. The principal investigator will pursue subconvex problems through moment calculations and novel applications of delta symbols, and will prove asymptotics for the sixth and eighth moments of an orthogonal family of L-functions for the first time, thereby testing predictions from random matrix theory. The project includes mentorship of graduate and undergraduate students, organization of conferences and seminars, and contributions to extracurricular outreach activities. Performance occurs in Manhattan, Kansas over the period August 1, 2026 through July 31, 2029. This is a Project Grant assistance type.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $253.2k | 7/22/26 |