Project Grant 2506489
- This Project Grant award from the National Science Foundation (NSF) Division of Mathematical Sciences supports research on the theory of dynamical systems and conformal dynamical systems. The award, totaling $262,205 over 3 years starting on August 1, 2024, will fund work to address longstanding conjectures and open new research directions in this field. The project will leverage tools from complex analysis, hyperbolic geometry, and arithmetic geometry to study moduli spaces of one-dimensional...
- 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 $279,965.00 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support research at the University of Michigan to investigate open questions in the areas of complex analysis and geometry using innovative non-Archimedean methods. The key focus areas include studying the Yau--Tian--Donaldson conjecture on an algebro-geometric criterion for the existence of constant scalar curvature metrics, examining the existence of...
- 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 federal Project Grant award, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program, will support research at New York University (NYU) to advance the theory of dynamical systems and investigate its applications in fields such as engineering and the biological sciences. The $375,506 award, effective from July 1, 2024 to June 30, 2029, will fund four primary research projects: Extending finite-dimensional dynamical systems...
- 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 Project Grant award, with a total funding amount of $166,285, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports the development of new mathematical approaches for analyzing complex bifurcations in high-dimensional dynamical systems. This work aims to enable quantitative and qualitative progress in the study of data-driven, detailed, and phenomenologically-reduced models with complex...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will provide $218,760 to Michigan State University to develop novel analytical frameworks for studying rigidity phenomena in weakly chaotic dynamical systems. The research project aims to advance both theoretical insights and practical applications in areas such as weather prediction, power grid stability, encrypted communications, and spacecraft navigation. The...
- 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 $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 Project Grant award of $199,999.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on dynamical systems and postcritically finite rational maps. The award aims to extensively study postcritically finite parameters and record essential data that uniquely encode them, with the goal of improving the understanding of the global structure of the parameter space in complex dynamics. The project will leverage research at the University of Michigan to investigate and explore dynamical data associated with postcritically finite maps. Broader impacts include mentoring at multiple educational levels, such as a math camp for middle school students and high school mentors from Ypsilanti, Michigan. The award period is from Sep 1, 2025 to Aug 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 8/15/25 |