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 $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) Division of Mathematical Sciences awarded a 3-year, $309,585 Project Grant to The Ohio State University to conduct research in the field of hyperbolic dynamical systems, a branch of mathematics with applications in physics, chemistry, and engineering. The research project, titled "A Comprehensive Program in Rigidity," aims to investigate fundamental questions in hyperbolic dynamics, particularly focused on establishing stronger forms of...
This $326,187 National Science Foundation Project Grant supports research into the complex dynamics of large spatially-extended systems with long-range interactions. Funded under the NSF Engineering Directorate's $47.041 million Engineering program, the three-year award to Virginia Polytechnic Institute & State University will advance understanding of nonlinear dynamics in systems of societal importance like the atmosphere, oceans, and distributed networks. Principal investigators will use...
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...
The National Science Foundation Division of Mathematical Sciences awarded a $198,055 Project Grant to the Georgia Tech Research Corporation from September 1, 2023 through August 31, 2028 under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The award will support research investigating chaotic dynamics in dynamical systems with noise, and applying tools from smooth ergodic theory and probability theory to rigorously analyze chaotic behavior in practical systems....
Virginia Polytechnic Institute & State University (Virginia Tech) received a three-year, $113,763 Project Grant from the National Science Foundation Division of Mathematical Sciences. The grant supports research titled "PARAMETERIZATION AND REDUCTION FOR NONLINEAR STOCHASTIC SYSTEMS WITH APPLICATIONS TO FLUID DYNAMICS" from June 1, 2021 to May 31, 2024. The grant funds research into parameterization and reduction techniques for nonlinear stochastic systems, with a focus on...
This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $162,825 to support collaborative research in enumerative algebraic geometry at Virginia Polytechnic Institute and State University from August 1, 2022 to July 31, 2025. The research aims to resolve outstanding questions in enumerative algebraic geometry through investigations of intersection theory in moduli spaces of geometric figures including flag varieties, their cotangent bundles, bow...
This five-year $142,710 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support research at Rutgers, The State University developing new tools in harmonic analysis, ergodic theory, and convex geometry. The Principal Investigator will investigate questions in ergodic theory related to the Furstenberg-Bergelson-Leibman conjecture for dynamical systems with nilpotent group structure. In harmonic analysis, the research will examine...
This Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $205,601 to the University of Massachusetts for research related to enumerative, algebraic, and asymptotic combinatorics with connections to representation theory and geometry. Specifically, the award supports three research projects that will study problems in graph colorings, Schubert polynomials, and integer flows on graphs...