Project Grant 2453796
- This Project Grant award of $293,046 from the National Science Foundation's (NSF) Division of Mathematical Sciences, under the Mathematical and Physical Sciences (CFDA 47.049) Federal Grant Program, supports fundamental research on higher-dimensional spaces and their applications. The principal investigator (PI) at Kansas State University (KSU) will investigate problems related to four-dimensional spaces, including detecting differences between smooth geometric objects and studying stabilization...
- 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 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 $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 (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 $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...
- The National Science Foundation awarded the University of Chicago a $369,956 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research into dynamical systems and Hodge theory through the study of low-dimensional dynamical systems using tools from algebraic geometry and Hodge theory. Specifically, the Principal Investigator will examine the relationship between Hodge theory and Anosov representations, which were recently connected by the PI...
- This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences (CFDA 47.049) program provides $300,000.00 in funding to The Pennsylvania State University to conduct collaborative research on the geometric properties of stationary measures for smooth iterated function systems in the field of dynamical systems. The research aims to study the regularity and dimension of these stationary measures, particularly when the underlying maps are real-analytic and...
- This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $236,282 to the University of Kansas Center for Research Inc. to study the dynamics of partial differential equations (PDEs) in bounded domains. The project will yield a universal methodology for analyzing PDEs in one and higher spatial dimensions, addressing fundamental questions about the existence, uniqueness, and stability of solutions. It will...
- 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 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 the structure of dynamical systems near fixed points and extending concepts like "hedgehogs" to higher dimensions, particularly in the setting of conservative holomorphic germs. The project will also analyze the dynamics and bifurcations of polynomial automorphisms of two-dimensional complex space. In addition to research, the award will provide training opportunities for graduate students and postdoctoral researchers. The project period runs from August 15, 2025 to July 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $270.6k | 8/14/25 |