Project Grant 2546241
- 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...
- 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 (NSF) Division of Mathematical Sciences awarded a $200,000 Project Grant to the Regents of the University of California, doing business as the University of California, Berkeley. This grant is funded under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to strengthen the nation's scientific enterprise through advances in mathematical and physical sciences. The grant supports the development of "homotopical methods in...
- This federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $160,000.00 to the University of California, Berkeley (UC Berkeley) for the research project "LANDSCAPES, GAMES AND PERMUTATIONS: SCALED RANDOM DYNAMICS IN STATISTICAL MECHANICS". The award will fund investigations into scaling limits and random dynamic enhancements of statistical mechanical systems, including the study of random scaled...
- The National Science Foundation awarded a $361,459 Project Grant to the University of California, San Diego under the Mathematical and Physical Sciences program (CFDA 47.049) to expand the scope of rigidity in von Neumann algebras and uncover new applications to group theory, ergodic theory, and C*-algebras from June 1, 2022 to May 31, 2025. Specifically, the award will support research investigating rigidity properties for group von Neumann algebras and related topics, such as Hilbert-Schmidt...
- 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,...
- This $353,236 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research at Northwestern University focused on questions at the interface of dynamical systems and the rigidity of group actions. The project aims to employ tools from dynamical systems to study group actions, with the goal of classifying certain actions, the underlying spaces they act on, and invariant geometric structures. The research will also...
- 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 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...
- This $199,999 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on dynamical systems and their applications. The project, conducted by the Regents of the University of Michigan, aims to extensively study postcritically finite parameters, which encode important information about the global structure of parameter spaces in complex dynamics. The research will record essential data on these special parameters...
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 the quantitative understanding of the behavior of orbits in the dynamics of group actions on homogeneous spaces and moduli spaces. The award period is from July 1, 2025 to June 30, 2027 and will provide opportunities for training and mentoring early career researchers, especially graduate students, as well as the dissemination of mathematical knowledge through conferences, workshops, and research programs.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $267.5k | 9/11/25 |