Project Grant 2212924
- 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 $300,000 National Science Foundation award under the Mathematical and Physical Sciences program (CFDA 47.049) supports research and education activities in the area of automorphic forms and exceptional algebraic structures at the University of California, San Diego from July 1, 2022 to June 30, 2027. The principal investigator will conduct three related research projects investigating half-integral weight modular forms on exceptional groups, modular forms on the exceptional group G2 with...
- 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 $172,000 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research by Michigan State University on the birational classification of algebraic varieties. The key goals are to investigate the moduli theory and boundedness of Fano varieties over the integers, explore connections between birational geometry and commutative algebra/arithmetic geometry, and apply new techniques from derived algebraic geometry to study...
- This National Science Foundation Project Grant award in the amount of $241,311 provides funding from June 1, 2022 through May 31, 2025 to support research into arithmetic questions in the theory of linear algebraic groups at Michigan State University. The principal investigator will investigate the arithmetic, geometric, and structural aspects of algebraic groups over higher-dimensional fields, with a focus on various finiteness properties. Specific objectives include establishing finiteness...
- This $279,965.00 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support research at the University of Michigan to investigate open questions in the areas of complex analysis and geometry using innovative non-Archimedean methods. The key focus areas include studying the Yau--Tian--Donaldson conjecture on an algebro-geometric criterion for the existence of constant scalar curvature metrics, examining the existence of...
- 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'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 $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...
This National Science Foundation Project Grant of $121,754 awarded on September 1, 2022 will support research into number theory through August 31, 2024 under the Mathematical and Physical Sciences CFDA 47.049 program. Specifically, the University of Michigan-Dearborn will extend prior work on Bianchi modular forms, elliptic Dedekind sums, and L-functions over imaginary quadratic fields. The Principal Investigator will study generalizations of Szeché's Eisenstein cocycles with applications to p-adic L-functions, elliptic Dedekind sums attached to discrete subgroups of SL(2,C) with potential applications to conjectures of Sharifi, and Bianchi period polynomials associated to binary Hermitian forms and their relation to special values of L-functions. Broader impacts include undergraduate research training in number theory at a primarily undergraduate institution.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $121.8k | 3/24/22 |