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 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 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...
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...
This National Science Foundation project grant of $102,612 supports research at the University of Illinois from October 1, 2022 through May 31, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The award aims to advance understanding of dynamical systems and number theory through four objectives: developing methods in homogeneous dynamics to study rational points near manifolds and self-similar sets; techniques in random walk theory and representations of algebraic...
This three-year Project Grant from the National Science Foundation's Mathematical and Physical Sciences program, totaling $375,740, will support research into dynamical systems and their statistical properties. Specifically, the principal investigator at the University of Chicago will investigate questions around the stability, generic features, and rigid symmetries of smooth dynamical systems. This includes attempting to prove the symplectic version of the C1 Pugh-Shub conjecture regarding when...
The National Science Foundation Division of Mathematical Sciences awarded Indiana University a $246,244 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) for work on "COMPUTATIONAL AND COMBINATORIAL TECHNIQUES IN CONFORMAL DYNAMICS" from July 1, 2021 to June 30, 2024. The grant supports research using computational and combinatorial techniques to further understanding of major problems in conformal dynamics, consistent with the program's...
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 $256,573 National Science Foundation Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) will support research exploring algebraic aspects of chaotic dynamical systems with hyperbolic behavior at Texas A&M University from July 2022 through June 2025. Specifically, the award will fund investigations into the connections between hyperbolic dynamical systems and group theory, automata theory, and other branches of algebra. The research aims to clarify whether...
The National Science Foundation (NSF) awarded a $200,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to Amherst College for a research project titled "RUI: Arithmetic Dynamics: Algebraic and Analytic". The funding will support a 3-year research effort from September 1, 2024 to August 31, 2027 that aims to advance the mathematical field of arithmetic dynamics, which bridges number theory and dynamical systems. The project will focus on studying the...