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 $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 $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 (NSF) awarded a $394,473 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Oklahoma's Office of Research Administration. The grant will fund research by the Principal Investigator on rigidity properties of hyperbolic manifolds, which are multi-dimensional shapes with negative curvature. The projects aim to advance understanding of rigidity and flexibility phenomena in the fundamental groups of real and complex...
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...
The National Science Foundation Division of Mathematical Sciences awarded The Pennsylvania State University a $224,283 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support research into topics in smooth ergodic theory including stochastic properties, thermodynamic formalism, and essential coexistence of hyperbolic and non-hyperbolic dynamical behavior from June 1, 2022 to May 31, 2025. Key areas of focus include developing...
The National Science Foundation Division of Mathematical Sciences awarded Florida State University a $280,000 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) for the period of July 1, 2021 through June 30, 2024. The grant funds research on partially hyperbolic diffeomorphisms, foliations, and flows. The Mathematical and Physical Sciences program aims to advance scientific knowledge and understanding in these fields through support of basic research and related...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $170,443 Project Grant to the University of Massachusetts Boston (UMass Boston) under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research in "Critical Symplectic Geometry, Lagrangian Cobordisms, and Stable Homotopy Theory." The project aims to incorporate ideas from homotopy theory and category theory into symplectic geometry to prove structural results about...
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...