Project Grant 2453689
- This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences (CFDA 47.049) program provides $300,000.00 in funding to The Pennsylvania State University to conduct collaborative research on the geometric properties of stationary measures for smooth iterated function systems in the field of dynamical systems. The research aims to study the regularity and dimension of these stationary measures, particularly when the underlying maps are real-analytic and...
- The National Science Foundation (NSF) awarded a $333,182 Project Grant through its Mathematical and Physical Sciences (CFDA 47.049) program to the University of Wisconsin - Madison. This grant supports research at the interface of several complex variables, differential geometry, and dynamical systems. The project aims to study the smoothness of transformations on complex-valued function domains, analyze resonance phenomena and singularities, and investigate the stability of holomorphic...
- The National Science Foundation (NSF) awarded a $112,949 Project Grant to The Trustees of the Stevens Institute of Technology to conduct research under the Mathematical and Physical Sciences (CFDA 47.049) program. The project, titled "Uniformization of Surfaces and Mapping Problems in Metric Spaces", aims to develop new mathematical approaches for understanding the geometry of non-smooth spaces, building on the classical Uniformization Theorem. The research will investigate methods for...
- 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 $450,287 Project Grant was awarded by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research at The Johns Hopkins University to advance the theory of harmonic maps, which have practical applications in areas like medical imaging and computer vision. Specifically, the research focuses on three key areas: (1) developing non-abelian Hodge theory to connect topological data of Kähler...
- 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...
- The National Science Foundation (NSF) awarded a $350,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to The Johns Hopkins University. The grant supports a research program to develop "Any-Dimensional Equivariant Learning" algorithms that can effectively handle input data of varying sizes, addressing a key limitation of modern artificial intelligence (AI) systems. The project aims to create parameterized families of solution mapping...
- The National Science Foundation awarded The Johns Hopkins University a $320,648 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support research into various aspects of the theory of partial differential equations as they relate to the dichotomy between regularity and singularity formation. The Principal Investigator will pursue research in regularity theory and geometric properties for partial differential equations arising in the theory of...
- The National Science Foundation (NSF) awarded a $267,481 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the University of California, Berkeley. This grant, entitled "DYNAMICAL RIGIDITY THROUGH INCIDENCE GEOMETRY", will develop analytical methods to approximate the state of certain dynamical systems to within manageable errors, with an eye towards computational feasibility. The project will further the understanding of quantitative...
- The National Science Foundation (NSF) awarded a Project Grant of $349,929.00 on June 1, 2024 to Northwestern University under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The grant supports a 3-year research program focused on advancing the structural understanding of measurable and topological dynamical systems. The research aims to gain deeper insights into the interactions among different dynamical properties, using a combinatorial and symbolic approach. The...
The National Science Foundation (NSF) awarded a $275,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to The Johns Hopkins University. The grant supports collaborative research on "Geometric Properties of Stationary Measures for Smooth Iterated Function Systems" in the field of dynamical systems. The research aims to study the regularity and dimension of stationary measures arising from nonlinear actions, such as self-conformal systems and random matrix products, with a focus on developing methods from hyperbolic dynamics, harmonic analysis, homogeneous dynamics, spectral theory of transfer operators, and additive combinatorics. The grant has an award date of August 15, 2025 and an ultimate completion date of July 31, 2028. The research will involve the training of graduate students and postdoctoral fellows and promote collaborative ties between research groups working in dynamics, geometry, and analysis.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $275.0k | 8/15/25 |