Project Grant 2546263
- 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 $260,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on geometric limits in low dimensional geometry and topology at Boston College. The key objectives of the project are to analyze the global topology of the "space of all hyperbolic manifolds" and study the relationship between the "rank" of closed hyperbolic 3-manifolds and their geometry. In addition to the research...
- The National Science Foundation (NSF) awarded a $149,826 Project Grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to Trustees of Boston College for the project "FLOER HOMOLOGY IN LOW-DIMENSIONAL TOPOLOGY." This 2-year project, running from August 1, 2025 to July 31, 2027, focuses on an area of mathematics called low-dimensional topology, which studies shapes and spaces in three and four dimensions. The research aims to unify various tools from...
- 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 $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...
- 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...
- 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 federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $300,000.00 in funding to Temple University to support research exploring new ways of understanding low-dimensional dynamical systems inspired by classical approaches. The key focus areas include: Classifying pseudo-Anosov flows transverse to taut foliations, by understanding the associated universal circles and building on recent advances....
- 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 $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...
This National Science Foundation (NSF) award under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) provides $300,000.00 to support a research project on topology and dynamics on metric spaces. The primary objectives are to develop new notions of how chaotic systems expand and stretch in different directions, and to quantify the "butterfly effect" where small changes in initial conditions lead to dramatically different future outcomes. The project will advance the theory of topological Lyapunov exponents, which measure distance growth rather than volume growth, for both smooth and non-smooth dynamical systems. This work has broader impacts through mentoring student researchers and exploring physical models to visualize the resulting fractal geometry patterns. The award is effective from July 15, 2025 through June 30, 2028, with the research to be conducted by Trustees of Boston College.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $300.0k | 8/14/25 |