Project Grant 2453562
- This $215,673 National Science Foundation award under the Mathematical and Physical Sciences program (CFDA 47.049) funds research at the University of Maryland, College Park focusing on chaotic properties of smooth dynamical systems on manifolds. The three-year project grant beginning June 1, 2023 supports developing a framework for understanding chaotic behavior in dynamical systems, with potential applications in mathematics, physics, economics and other fields. It also involves training...
- This National Science Foundation Project Grant award of $424,370 provides funding over five years from June 2022 through May 2027 under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports research at the University of Maryland, College Park to advance fundamental knowledge of dynamical systems through the study of long-term behavior of parabolic systems, which display sub-exponential divergence of orbits in contrast to hyperbolic systems. The...
- 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 federal Project Grant award of $300,000.00 from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support research on quantitative symplectic geometry in higher dimensions. The principal investigator will develop new tools and paradigms to study the quantitative aspects of symplectic geometry, including initiating the study of digital symplectic geometry to link geometric methods with numerical simulations and machine learning. The award will...
- This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences (CFDA 47.049) program seeks to advance the understanding of dynamical systems and the evolution from ordered to chaotic behavior. The $249,103 award to the Research Foundation of the City University of New York, effective July 1, 2024 through June 30, 2026, will support research aimed at developing new conceptual ideas, approaches, and theoretical frameworks to transcend the limitations of...
- This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $300,000.00 to the University of Maryland, College Park to advance the understanding of three classes of nonlinear partial differential equations in multiple spatial dimensions. The research aims to address fundamental questions in modeling emergent phenomena, conservation laws, and the pressureless early universe model. Specifically, the project will study the...
- The National Science Foundation (NSF) awarded a $267,481 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the University of California, Berkeley. This grant, entitled "DYNAMICAL RIGIDITY THROUGH INCIDENCE GEOMETRY", will develop analytical methods to approximate the state of certain dynamical systems to within manageable errors, with an eye towards computational feasibility. The project will further the understanding of quantitative...
- This $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research into new theoretical approaches for understanding large systems of interacting particles, known as many-particle or many-body systems. The research aims to develop more accurate representations of these complex systems, which arise in diverse applications such as biosciences, physics, and fluid mechanics. The principal investigator will focus...
- This National Science Foundation (NSF) Project Grant Award, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $210,000.00 in funding to the University of Maryland, College Park to support research on the interplay between polylogarithms, cluster algebras, and hyperbolic geometry. The key objectives are to investigate key conjectures, find new examples of hyperbolic manifolds, and compute invariants using cluster coordinates. The project will involve both graduate and...
- This $204,372 federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research on the potential theoretic aspects of complex geometry. The principal investigator will employ methods from potential theory, infinite-dimensional geometry, and geometric analysis to investigate a cluster of interconnected questions and conjectures in complex geometry. The project aims to advance scientific knowledge in this...
This federal Project Grant award of $338,937.00 from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research on the stability, rigidity, and dynamics of complex mathematical and physical systems. The principal investigator intends to investigate topics such as energy transfer in Hamiltonian systems, instability of equilibria, and KAM (Kolmogorov-Arnold-Moser) stability without transversality conditions. This research will provide opportunities for graduate student training and advance the mathematical theory of dynamical systems, which has broad applications in classical mechanics and other areas of mathematical physics. The project will be conducted at the University of Maryland, College Park, a prominent research university with extensive capabilities in areas like quantum computing, advanced materials, and artificial intelligence, and will run from August 1, 2025 to July 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $338.9k | 7/18/25 |