Project Grant 2513833
- This Project Grant award of $300,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research at Yale University to develop new mathematical tools for understanding the dynamics and rigidity of complex mathematical systems. The work aims to advance the frontier of pure mathematics, with a focus on exploring infinite-volume homogeneous spaces and the dynamics of Kleinian groups, Anosov subgroups, and arithmetic lattices. Expected...
- This Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $211,013 to Wesleyan University to support research into rigidity and boundaries in non-positive curvature geometry. The Principal Investigator will investigate asymptotic invariants and rigidity phenomena for finitely generated groups and their large-scale geometry. This includes studying graphical discreteness to unify notions...
- This federal Project Grant award of $300,000.00 from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support research on quantitative symplectic geometry in higher dimensions. The principal investigator will develop new tools and paradigms to study the quantitative aspects of symplectic geometry, including initiating the study of digital symplectic geometry to link geometric methods with numerical simulations and machine learning. The award will...
- The National Science Foundation (NSF) awarded a $215,057 project grant to William Marsh Rice University, doing business as Rice University, through the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The grant funds research to study singularity, rigidity, and extremality phenomena in minimal hypersurfaces, which are generalizations of minimal surfaces important in areas like general relativity and phase transition theory. This 3-year research project will further...
- This $299,999 Project Grant award from the National Science Foundation's (CFDA 47.049) Mathematical and Physical Sciences program supports research on the rigidity and bounded cohomology of groups acting on nonpositively curved spaces. The principal investigator (PI) will focus on understanding the fundamental dynamical, topological, and geometric properties of infinite transformation groups that act in a distance-preserving manner on spaces like Euclidean and hyperbolic spaces. Key components...
- This $353,236 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research at Northwestern University focused on questions at the interface of dynamical systems and the rigidity of group actions. The project aims to employ tools from dynamical systems to study group actions, with the goal of classifying certain actions, the underlying spaces they act on, and invariant geometric structures. The research will also...
- 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...
- 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...
- The National Science Foundation (NSF) awarded a $394,473 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Oklahoma's Office of Research Administration. The grant will fund research by the Principal Investigator on rigidity properties of hyperbolic manifolds, which are multi-dimensional shapes with negative curvature. The projects aim to advance understanding of rigidity and flexibility phenomena in the fundamental groups of real and complex...
- The National Science Foundation (NSF) awarded a $376,177 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to Sam Houston State University (SHSU) for the project "PRIMES: Geometry, Topology, and Dynamics of Higher Rank Character Varieties". The funding will support fundamental research by the Principal Investigator (PI) on the topological complexity and symmetries of surfaces using tools from geometry, algebra, and dynamical systems. Key project...
This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $180,000 to William Marsh Rice University to conduct research on "New Frontiers in Rigidity in Geometry and Dynamics." The key products and services to be delivered include: The project investigates ways of characterizing, describing, and studying spaces with many symmetries across dynamical, geometric, and topological settings. This involves learning and applying ideas and techniques from multiple areas of mathematics, including differential equations, theoretical computer science, descriptive set theory, and number theory. The research has a particular focus on studying group actions on manifolds, the structure of negatively curved manifolds, and how hidden symmetries relate to classical questions in geometry, topology, and group theory. The PI will also continue organizing conferences, summer schools, and other events to increase participation in mathematics. No sub-awards are planned under this grant, which has an award date of August 15, 2025 and an ultimate completion date of July 31, 2027.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $180.0k | 8/15/25 |