Project Grant 2604231
- 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...
- The National Science Foundation Division of Mathematical Sciences awarded The University of Central Florida Board of Trustees $155,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) for collaborative research quantifying habitat fragmentation impacts on ecological dynamics using a trait-based framework. The project develops and validates mathematical models incorporating species-specific traits—particularly dispersal and reproductive strategies—to...
- The University of Central Florida Board of Trustees Office of Research Division was awarded a $254,125 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences (47.049) federal grant program. The grant will support research investigating several aspects of stochastic optimal control problems with infinite time horizons, including optimal control of linear stochastic differential equations involving average quadratic costs...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Central Florida Board of Trustees $199,852 on July 1, 2026, to develop scalable algorithmic frameworks for large-scale tensor data analysis under the Mathematical and Physical Sciences program (CFDA 47.049). The project advances mathematical foundations and computational tools for extracting reliable information from high-dimensional, noisy, and partially corrupted multidimensional datasets. Research...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Florida $200,001 on August 15, 2026, for research in free analysis and adjacent topics in mathematics under the Mathematical and Physical Sciences program (CFDA 47.049). The award funds advancement of mathematical foundations of free analysis, with emphasis on connections to random matrix theory, free probability, quantum information theory, and other pure and applied areas. The project will explore...
- The University of Central Florida Board of Trustees was awarded a $133,000 Project Grant from the National Science Foundation Division of Mathematical Sciences. The grant supports research titled "PATH-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS AND OPTIMAL CONTROL" from September 1, 2021 through August 31, 2024. The grant funds mathematical research into path-dependent partial differential equations and optimal control under the NSF's Mathematical and Physical Sciences program (CFDA...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Maryland, College Park $200,000 on August 15, 2026, as a project grant under the Mathematical and Physical Sciences program (CFDA 47.049) to research random and stochastic dynamical systems whose evolution laws change with time. The recipient will study the dynamics of systems with time-varying rules, focusing on random dynamical systems and the emergence of chaotic behavior through statistical...
- This $125,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will enable the Florida Institute of Technology Inc. (Florida TECH) to utilize advanced machine learning algorithms to efficiently analyze and predict information within high-dimensional data matrices and tensor computations related to state-space dynamical systems. The key objectives are to: (I) utilize machine learning to predict future states of dynamical...
- The National Science Foundation Division of Mathematical Sciences awarded $200,000 to Harvard College on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to fund research on special varieties in algebraic dynamics. The project investigates mathematical structures governing dynamical systems defined by repeated application of algebraic rules, with focus on identifying when such systems exhibit hidden geometric structure rather than generic chaotic behavior....
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 flows through barcode entropy and explore connections between barcode growth in filtered Floer and symplectic homology and Hamiltonian dynamics. Work is performed in Alafaya, Florida, with a period of performance from September 1, 2026, through August 31, 2029. The project integrates research with education and training of young scientists and has potential applications to image and pattern recognition, machine learning, and artificial intelligence.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $100.0k | 7/28/26 |