This $300,000 federal Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental mathematical and computational research on complex stochastic systems with infinite degrees of freedom. The project aims to develop new theoretical frameworks and analytical techniques for studying the asymptotic behavior of stochastic partial differential equations (SPDEs) with multiple scales and conservation laws. The...
The University of Maryland, College Park received a $300,000 Project Grant award from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The award will fund research into free boundary problems for aggregation phenomena and partial differential equations from August 1, 2023 through July 31, 2026. Specifically, the university will study relationships between local interactions and collective motion in...
This $215,673 National Science Foundation award under the Mathematical and Physical Sciences program (CFDA 47.049) funds research at the University of Maryland, College Park focusing on chaotic properties of smooth dynamical systems on manifolds. The three-year project grant beginning June 1, 2023 supports developing a framework for understanding chaotic behavior in dynamical systems, with potential applications in mathematics, physics, economics and other fields. It also involves training...
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...
This three-year Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $659,740 to the University of North Carolina at Chapel Hill to support research centered around stochastic dynamical systems describing interacting particle behavior. The research aims to characterize typical behavior, fluctuation probabilities, and large deviations for such systems as the number of particles...
The National Science Foundation (NSF) Division of Mathematical Sciences has awarded a $300,000 Project Grant to Cornell University to support research on stochastic models and their properties. The key objectives of this 3-year grant, which runs from July 15, 2023 to June 30, 2026, are to: Develop novel methodologies to characterize different types of orbits exhibited by Markov semigroups on Hilbert spaces, providing a comprehensive understanding of these structures. Utilize the classification...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $250,000 Project Grant to Yale University from September 1, 2023 to August 31, 2026 under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports the development of a new perturbation theory to improve statistical analysis of large data matrices, particularly those with low-rank structure and random noise. Key anticipated outcomes include optimal error bounds for matrix parameters like...
The University of Maryland, College Park (UMCP) received a $438,654 Project Grant award from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The award funds research from July 1, 2023 to June 30, 2026 to develop methods for precise computation of statistical quantities associated with chaotic behavior in deterministic dynamical systems. Specifically, the Principal Investigator will study...
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 National Science Foundation Project Grant of $219,896 will fund research into pattern formation in singularly perturbed partial differential equations under the Mathematical and Physical Sciences program (CFDA 47.049). The University of California Irvine will investigate spatiotemporal pattern formation mechanisms in reaction-diffusion systems arising in biology, ecology, and chemistry. Key research areas include pattern-forming instabilities at bistable interfaces, temporal pulse...