Project Grant 2555541
- This $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research to develop new tools for studying the geometry and dynamics of physical systems. Key research focus areas include: Investigating the existence and properties of periodic orbits in four-dimensional phase spaces with three-dimensional energy levels Studying the geometry of phase spaces to determine when dynamical systems are equivalent...
- The National Science Foundation (NSF) awarded a $302,028 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the University of California, Berkeley (UC Berkeley) to conduct fundamental research on nonlinear hyperbolic and dispersive partial differential equations (PDEs) arising in physics. The 3-year project, spanning from July 2025 to June 2028, aims to deepen the rigorous mathematical understanding of these PDEs by investigating key problems...
- This $270,000 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research in geometric representation theory and symplectic geometry at the University of California, Berkeley. The research aims to develop new tools and solve open problems in these mathematical fields, which draw inspiration from theoretical physics. Key research themes include investigating the cocenter of the affine Hecke category,...
- The National Science Foundation awarded a $413,959 Project Grant to Texas A&M University from July 1, 2021 to June 30, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports collaborative research on non-perturbative analysis for multi-dimensional quasiperiodic systems. The Mathematical and Physical Sciences program aims to advance scientific knowledge and understanding in these fields. Under this award, Texas A&M University researchers will work to...
- This Project Grant award of $154,019 was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049). The award funds a research project at the University of California, Davis that focuses on studying contact and symplectic geometry, an area of mathematics with applications in modeling physical phenomena like optics and thermodynamics. The project develops new mathematical methods and diagrams to enable more efficient...
- The National Science Foundation awarded Michigan State University a $438,999 project grant under the Mathematical and Physical Sciences program (CFDA 47.049) for research titled "COLLABORATIVE RESEARCH: NON-PERTURBATIVE ANALYSIS FOR MULTI-DIMENSIONAL QUASIPERIODIC SYSTEMS" from July 1, 2021 to June 30, 2024. The grant aims to advance understanding of major problems in the mathematical and physical sciences through supporting progress in mathematics and statistics. Specifically, the...
- This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) provides $267,481.00 to The Regents of the University of California, doing business as the University of California, Berkeley, for the project "DYNAMICAL RIGIDITY THROUGH INCIDENCE GEOMETRY". The project aims to develop analytical methods to approximate the state of certain dynamical systems with manageable errors, focusing on computational feasibility. It seeks to advance...
- This federal Project Grant award of $275,000 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research on the geometric properties of stationary measures for smooth iterated function systems. The research, conducted by a team from the United States and Israel, focuses on the regularity and dimension of stationary measures arising from nonlinear actions, such as self-conformal systems and random matrix products. The...
- This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $215,830.00 to Louisiana State University to conduct research on harmonic analysis and the behavior of quantum waves governed by the Schrödinger equation on curved spaces. The project aims to develop new mathematical tools to study wave behavior and derive space-time estimates for the linear Schrödinger equation under varying geometric assumptions,...
- This Project Grant award of $147,731 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research on computational methods for solving extremal eigenvalue problems involving geometric constraints. The research activities aim to advance computational mathematics and mathematical physics, with potential applications in areas such as light propagation, mechanical vibrations, and liquid sloshing. The project will develop new...
This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $304,917 to the University of California, Berkeley for collaborative research on non-perturbative analysis of multi-dimensional quasiperiodic systems. The research aims to develop and refine new methods for studying quasiperiodic Schrödinger operators and nonlinear partial differential equations, with potential applications in fields like celestial mechanics, biology, solid state physics, and mathematical physics. The award supports activities to obtain previously inaccessible multi-dimensional and arithmetic results in these areas, advancing the state of the art in non-perturbative analysis of quasiperiodic systems. The project period runs from November 1, 2025 to June 30, 2026.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $304.9k | 11/25/25 |