The National Science Foundation (NSF) awarded a Project Grant of $349,929.00 on June 1, 2024 to Northwestern University under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The grant supports a 3-year research program focused on advancing the structural understanding of measurable and topological dynamical systems. The research aims to gain deeper insights into the interactions among different dynamical properties, using a combinatorial and symbolic approach. The...
The National Science Foundation awarded Northwestern University a $355,745 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) from June 1, 2021 through May 31, 2024. The grant funds research on combinatorial and algebraic structures in dynamics, advancing the program's goal of strengthening the nation's scientific enterprise through increased understanding of major problems. The university will utilize the three-year funding period to investigate major open...
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...
The National Science Foundation (NSF) awarded a $369,218 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of California, San Diego (UCSD) to develop analytical methods for approximating the state of certain dynamical systems. The project aims to advance the understanding of quantitative aspects of the analysis of dynamical systems, with a focus on rigidity phenomena in the dynamics of group actions on structured spaces. Key research areas include...
The National Science Foundation Division of Mathematical Sciences awarded $270,000 under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to Northwestern University from July 1, 2021 to June 30, 2024. The Project Grant funding will support research into Linear Partial Differential Equations on Singular Spaces. The Mathematical and Physical Sciences program aims to strengthen the nation's scientific enterprise through advancing knowledge and understanding of major...
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 $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...
The National Science Foundation awarded Northwestern University a $404,999 project grant under the Mathematical and Physical Sciences program (CFDA 47.049) to support research titled "Nonlinear Dynamics of Colloidal Rotors: Chaos and Order" from September 1, 2021 through August 31, 2024. The grant will fund research into the nonlinear dynamics exhibited by colloidal particles that rotate when subjected to an external torque. The Mathematical and Physical Sciences program aims to...
The National Science Foundation (NSF) awarded a $204,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the Regents of the University of Michigan to investigate rigidity phenomena in geometry and dynamics, with a focus on actions of higher rank abelian and semi-simple Lie groups and their lattices. This 3-year research project, with an award period from June 2024 to May 2027, will explore topics such as the classification of higher-rank...