Project Grant 2604230
- The University of California Santa Cruz (UCSC) received a $340,433 project grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support research to develop new methods utilizing ideas from topological data analysis to study topological entropy of Hamiltonian dynamical systems from the perspective of Floer theory. Specifically, the grant will fund research using barcode...
- The National Science Foundation Division of Mathematical Sciences awarded The University of Central Florida Board of Trustees $100,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop new methods for studying periodic orbits and topological entropy in Hamiltonian dynamical systems by incorporating topological data analysis. The research will investigate the topological entropy of compactly supported Hamiltonian diffeomorphisms and certain Reeb...
- The National Science Foundation Division of Mathematical Sciences awarded the University of California Irvine $100,000 on September 1, 2026, for research in geometrization, torsion, and mathematical physics under the Mathematical and Physical Sciences program (CFDA 47.049). The award funds research addressing open questions in geometry and development of novel general-purpose tools in this area, with particular focus on Ricci curvature, Einstein metrics, and Ricci flow incorporating torsion....
- The National Science Foundation Division of Mathematical Sciences awarded The Regents of the University of California, doing business as University of California, Berkeley, $300,000 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate strongly nonlinear dispersive flows and develop mathematical methods governing wave motion and interaction in complex environments. The project addresses fundamental mathematical principles underlying water waves in...
- The National Science Foundation awarded a $120,000 Project Grant to the University of California, San Diego for work related to topological dynamics and countable combinatorics. The grant was awarded on July 1, 2021 under the Mathematical and Physical Sciences program (CFDA 47.049) and will support research through June 30, 2024. The Mathematical and Physical Sciences program aims to promote progress in these fields to strengthen the nation's scientific enterprise. It is reasonable to infer...
- The National Science Foundation Division of Mathematical Sciences awarded the University of California, Berkeley $100,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop and apply the iterated true-stage method and topological game meta-theorem—tools from computable structure theory—to advance results in descriptive set theory. Both tools enable construction of continuous functions using information that lies high in the Borel hierarchy, bridging...
- 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...
- Federal Grant Award Summary The National Science Foundation's Division of Mathematical Sciences awarded $304,917 to the University of California, Berkeley on November 1, 2025, under CFDA 47.049 (Mathematical and Physical Sciences) to support collaborative research on non-perturbative analysis methods for multi-dimensional quasiperiodic systems. The project, which extends through June 30, 2026, focuses on developing and refining advanced Green's function estimation techniques as alternatives to...
- The University of California Santa Cruz will receive $220,000 in funding from the National Science Foundation under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) for the project "GENERAL CORRELATED COUNT STATISTICAL STRUCTURES" from July 1, 2021 to June 30, 2024. This Project Grant aims to promote progress in the mathematical and physical sciences by increasing scientific knowledge and enhancing understanding of major problems through statistical analysis...
- The University of Central Florida Board of Trustees Office of Research Division, doing business as UCF, was awarded a $247,552 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will fund research to develop new methods and tools utilizing ideas from topological data analysis to study topological entropy of Hamiltonian dynamical systems from the perspective of Floer...
The National Science Foundation Division of Mathematical Sciences awarded the University of California, Santa Cruz $210,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049). The award funds research on symplectic dynamics in higher dimensions and Floer theory, focusing on the study of periodic orbits and topological entropy in Hamiltonian dynamical systems. The research will develop new methods incorporating topological data analysis to extract structural information from complex data, with potential applications to image and pattern recognition, machine learning, and artificial intelligence. The work addresses the interaction between filtered Floer theory and Hamiltonian dynamics, investigating topological entropy of compactly supported Hamiltonian diffeomorphisms and certain Reeb flows through barcode entropy. The project integrates research with education and training of early-career scientists. Performance will occur at Santa Cruz, California, with work running through August 31, 2029.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $210.0k | 7/28/26 |