Project Grant 2610240
- This National Science Foundation (NSF) Project Grant award under CFDA 47.049 - Mathematical and Physical Sciences provides $200,000 in funding to Amherst College from September 1, 2024 to August 31, 2027 to support research in the field of arithmetic dynamics. The project will focus on open problems at the interface of number theory and dynamical systems, exploring both the algebraic and analytic aspects of this area and the interactions between them. The principal investigator will also...
- This Project Grant award, valued at $250,000.00, was provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program to Brown University. The primary focus of this 3-year project is to conduct research in the areas of moduli theory and birational geometry within the field of algebraic geometry, which has important applications in coding, industrial control, computation, and theoretical physics. Key research activities include studying the...
- This $130,611 Project Grant award from the National Science Foundation's (NSF) Division of Mathematical and Physical Sciences (CFDA 47.049 - Mathematical and Physical Sciences) supports a collaborative research project exploring the connections between algebra, dynamics, and operator algebras. The project aims to advance fundamental knowledge in pure mathematics by studying mathematical structures known as operator algebras, which arise from dynamical systems and self-similar groups. The...
- This three-year Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $145,260 to Tufts University to investigate questions in arithmetic statistics through September 2025. Specifically, the grantee will study how arithmetic statistical objects decompose into simpler components and apply uniform bounds to number fields, class groups, and Artin L-functions. This work aims to further...
- This $199,890.00 Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences (CFDA 47.049 - Mathematical and Physical Sciences) supports a collaborative research project exploring the connections between algebra and dynamics through the study of operator algebras. The project aims to advance fundamental knowledge in pure mathematics by investigating how symmetry and complexity interact in mathematical systems, with applications in areas like data...
- This three-year Project Grant from the National Science Foundation's Mathematical and Physical Sciences program, totaling $210,000, will support research into the geometry and arithmetic of Brill-Noether loci and curves. Specifically, the award recipient, Brown University, will initiate an arithmetic Brill-Noether theory program to elucidate the structure of rational points on Brill-Noether loci in the Picard variety of a curve, with applications to determining low degree points on curves...
- This Project Grant award of $125,986 from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support the principal investigator's research in number theory. The research will focus on studying p-adic properties of algebraic automorphic forms, which provide a bridge between Selmer groups and L-functions for Galois representations arising from automorphic representations. Key technical components include investigating p-adic deformations of geometric...
- This federal Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) to Brown University will support research into rational points on modular curves and related uniformity questions in number theory. The $188,325 award, spanning August 1, 2025 to July 31, 2028, will leverage the geometry of elliptic curves to study solutions to families of polynomial equations and advance the understanding of uniformity properties. The project will also...
- This $150,000 federal Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) to Brown University supports research on compactifications of moduli spaces and their tropicalizations within the field of algebraic geometry. The research program will develop and employ modern techniques to make new progress on the study of moduli spaces, which are parameter spaces for certain geometric objects with deep connections to mathematics, physics, and...
- This Project Grant award of $184,738 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research at Stanford University focused on three main areas: (1) generalizing Szemerédi's theorem on arithmetic progressions in large sets of integers; (2) studying the size and structure of sets of integer distances; and (3) using the results from these investigations to make progress on a conjecture in ergodic theory. The award will also fund...
This Project Grant award of $102,758 from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research in the emerging field of arithmetic dynamics. The project, led by researchers at Brown University, focuses on three main areas: 1) studying the fields of definition and S-integrality of points of small canonical height on abelian varieties, 2) relating Arakelov invariants on curves over number fields and function fields to the arithmetic of small points on Jacobians, and 3) investigating the relationship between dynamical complexity and the heights of certain subvarieties. The funding will facilitate training graduate students and early career researchers through courses, workshops, and collaborations across adjacent fields. The project aims to advance scientific knowledge in arithmetic dynamics and develop innovative techniques with potential for broader applications in areas such as arithmetic geometry.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $102.8k | 12/15/25 |