Project Grant 2505914
- 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 $204,372 federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research on the potential theoretic aspects of complex geometry. The principal investigator will employ methods from potential theory, infinite-dimensional geometry, and geometric analysis to investigate a cluster of interconnected questions and conjectures in complex geometry. The project aims to advance scientific knowledge in this...
- This federal Project Grant award in the amount of $177,469.00 was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Grant Program (CFDA #47.049). The award will support research into the geometry of moduli spaces from low-dimensional topology and applications, with a focus on three main directions: studying higher algebraic structures in instanton Floer homology, analyzing the properties of generalized Seiberg-Witten equations, and exploring the...
- This $299,877 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research at Yale University across two major areas. In the first part, the Principal Investigator (PI) aims to prove new formulas for solutions to an equation describing the geometry and curvature of space-time, first studied by Einstein. The second part focuses on studying two-dimensional systems with scale invariance, which the PI will analyze by...
- 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...
- This federal Project Grant award of $117,892 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on the geometry of mapping class groups and surface bundles, which are fundamental concepts in mathematics. The research project, conducted by the Regents of the University of California at Riverside, aims to develop combinatorial techniques for studying the geometry of these mathematical objects. Additionally, the educational...
- This federal Project Grant award, valued at $200,000.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049). The award funds collaborative research on non-homogeneous harmonic analysis, focused on matrix weights, Banach space valued Calderón–Zygmund operators, and singular integrals on graphs with cycles. The research aims to advance the mathematical understanding of various types of waves, which have broad...
- The National Science Foundation awarded a $199,581 Project Grant to Texas A&M University under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The grant supports research focused on using curvature-like inequalities to study the distortion of geometric structures when mapped into curved spaces. The research aims to develop new metric invariants that capture the geometry of graphs and characterize local and asymptotic properties of Banach spaces. The project will...
- This Project Grant award, valued at $220,000.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports research by Brown University to study variational methods in singular geometry, with applications to phenomena like classical mechanics, geodesics, and harmonic maps. The project aims to develop new analytical techniques to investigate the properties of solutions to non-linear elliptic PDEs, and...
- Yale University was awarded a $132,424 Project Grant from the National Science Foundation to support research titled "Geometric Flows and Applications" from July 1, 2021 to August 31, 2023. The grant was awarded under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise. Yale will utilize the funding over the two-year period to conduct research exploring geometric flows and...
This federal Project Grant award, valued at $150,000.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports research by Yale University to explore connections between foliations, flows, dynamics, and hyperbolic geometry in low-dimensional settings. Key objectives include advancing the understanding of the intricate relationships between geometry and dynamics, particularly in surface and 3D manifold environments. The research will involve graduate student training in mathematics education and outreach, with plans for public engagement events to share cutting-edge mathematical knowledge with the local community. This grant, with an award period from August 1, 2025 to July 31, 2027, aligns with the program's aims to advance scientific knowledge, develop innovative technologies, and address critical national priorities through fundamental and applied research in the mathematical and physical sciences.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $150.0k | 7/17/25 |