Project Grant 2453391
- This $345,497 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will support a research project on dynamical systems and translation surfaces at the University of Utah. The project aims to better understand the dynamics and spectral properties of flows on translation surfaces, as well as the dynamics of the strictly upper triangular subgroup of SL(2,R) on spaces of translation surfaces. It will also provide...
- 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 $137,633 federal Project Grant awarded by the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) to the University of Chicago supports fundamental research on the geometry and dynamics of moduli spaces of hyperbolic surfaces. The key objectives are to: 1) further develop the connection between earthquake and horocycle flows on moduli spaces and quadratic differentials, 2) study the structure of optimal Lipschitz maps between hyperbolic surfaces and related...
- 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 $121,081 Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research on minimal surfaces, geometric group theory, and mathematical representation theory. The principal investigator will work on deforming smooth spaces (manifolds) into optimal shapes using the concept of minimal surfaces, with the goal of providing new insights into the possible shapes of manifolds. The project will also include student...
- 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 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...
- 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 of $106,928 was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program. The funding will support research by the University of Wisconsin-Madison that lies at the intersection of geometry, dynamical systems, and group theory. The key goals of the project are to: (1) prove the Singularity Conjecture for Cannon-Thurston maps, (2) study the dynamics of free group automorphisms to obtain rigidity results,...
This federal Project Grant award for $167,321 from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) aims to further the understanding of dynamical systems and geometry related to important families of surfaces. The project, titled "Geometry and Dynamics of Translation Surfaces, Dilation Surfaces, and Their Moduli Spaces", will focus on the dynamics and geometry of translation surfaces, dilation surfaces, and their moduli spaces. The award will support research to establish the base theory about the structure of moduli spaces of dilation surfaces, with the goal of developing tools to better understand properties of these mathematical structures. As part of the broader impacts, the project will involve undergraduate and graduate students and work with programs that encourage STEM engagement and career preparation at the K-12 level. The award period is from Sep 1, 2025 to Aug 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $167.3k | 7/31/25 |