Project Grant 2453797
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a 3-year, $309,585 Project Grant to The Ohio State University to conduct research in the field of hyperbolic dynamical systems, a branch of mathematics with applications in physics, chemistry, and engineering. The research project, titled "A Comprehensive Program in Rigidity," aims to investigate fundamental questions in hyperbolic dynamics, particularly focused on establishing stronger forms of...
- This $282,660 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research at The Ohio State University in the field of ergodic geometry. The project encompasses a research program on the long-term behavior of dynamical systems arising in geometry, particularly the geodesic flow which has important connections to the underlying space's geometry and topology. The principal investigator will pursue two main research...
- This $575,244 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research into complex dynamics in higher dimensions at Indiana University from July 1, 2022 to June 30, 2025. The award will fund Ph.D. students' research into topics including holomorphic group actions on complex surfaces from Painlevé 6 differential equations, Migdal-Kadanoff renormalization mappings in statistical physics, and ergodic theory of rational maps...
- This Project Grant award from the National Science Foundation's (NSF) Division of Mathematical and Physical Sciences (CFDA 47.049 - Mathematical and Physical Sciences) provides $270,619 in funding to Kansas State University for collaborative research on higher-dimensional dynamical systems. The project aims to advance the understanding of dynamics in several complex variables by bridging the gap between one-dimensional and higher-dimensional holomorphic dynamics. Key goals include characterizing...
- This federal Project Grant award for $200,000.00, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049), supports research on hyperbolic behavior and chaotic systems. The project aims to gain a better understanding of the set of all possible invariant measures for such systems, which is crucial for making valid predictions about their behavior. The research involves the use of probability theory and ergodic theory to study these...
- 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 three-year, $369,435 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support research into holomorphic dynamics and related themes in dynamical systems at Stony Brook University. The principal investigator will investigate renormalization as a tool for elucidating small-scale structure in one-dimensional dynamical objects like the Mandelbrot set. Specific topics include a semi-local theory of neutral maps and bounds for...
- 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 from the National Science Foundation Division of Mathematical Sciences, under the Mathematical and Physical Sciences federal grant program (CFDA 47.049), provides $284,000 to The Ohio State University from August 15, 2022 to July 31, 2025. The award will support research into non-perturbative analysis of physical and mathematical models, with a focus on developing methods to extract information from limited data with high accuracy and confidence outside the range of...
- 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...
This $199,758 Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) will support collaborative research on higher-dimensional dynamical systems. The principal investigators will advance the understanding of holomorphic dynamics in several complex variables, with a focus on characterizing the structure and bifurcations of higher-dimensional systems, particularly those with neutral fixed points. The project will also provide training opportunities for graduate students and postdoctoral researchers. The award was made to The Ohio State University, a prominent public research institution, and will be performed at their facility in Columbus, Ohio. This collaborative international research effort is jointly funded by the NSF and the Romanian Executive Agency for Higher Education, Research, Development and Innovation Funding (UEFISCDI).
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $199.8k | 8/14/25 |