Project Grant 2506461
Award Date
7/15/25
Completion Date
6/30/28
Dollars Obligated
$200K
Federal Agency
Division of Mathematical Sciences
Federal Grant Program
47.049
Assistance Type
Project Grant
Place of Performance
Chicago, IL 60612, USA
Similar Awards
This three-year National Science Foundation Project Grant of $378,000 will support research into boundaries of groups in geometric group theory and hyperbolic geometry at the University of Illinois at Chicago from September 2022 through August 2025. Specifically, the principal investigator and collaborators will investigate the Cannon Conjecture regarding differences between classical and Gromov hyperbolic geometry in three dimensions in the presence of symmetries. They will continue...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $399,773 Project Grant to the University of Illinois, Urbana-Champaign to support research on the "Interactions Between Geometry, Topology, Number Theory, and Dynamics" from August 1, 2023 to July 31, 2026. The research aims to advance the understanding of topology and geometry and their connections to other areas of mathematics and computer science, including applications in data mining and engineering...
This Project Grant award of $137,633 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program supports research on the dynamics of moduli spaces of hyperbolic surfaces. The research aims to investigate the connections between non-Euclidean and Euclidean geometries, with three main focuses: further developing the link between earthquake and horocycle flows, studying the structure of optimal Lipschitz maps between hyperbolic surfaces, and using these tools to...
This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research on the geometry of mapping class groups and surface bundles, as well as related educational initiatives. The $117,892 award to the Regents of the University of California at Riverside, effective July 1, 2025 through June 30, 2030, aims to develop combinatorial techniques for studying the geometry of mapping class groups and Teichmüller spaces,...
The University of Illinois was awarded a $175,048 three-year Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to conduct research on geometric and dynamical aspects of random walks and percolation on discrete and dense subgroups of Lie groups. Key products and services to be delivered through this funding include using algebraic and dynamical methods to study the structure of...
This Project Grant award in the amount of $340,001 was provided by the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The award supports research at the University of Notre Dame DU Lac on the topological aspects of infinite group theory, with a focus on the topology of mapping class groups, automorphism groups of free groups, and arithmetic groups. The research aims to build connections between geometric...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a 3-year, $250,000 Project Grant to the University of Wisconsin - Madison under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate moduli spaces of surfaces with additional geometric structure. The grant will fund research to solve long-standing conjectures about the geometry and topology of these moduli spaces, which are mathematical spaces that parameterize the shapes an object can take....
This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences program (CFDA 47.049) provides $199,482 to the University of Illinois for research on the topology of 3-manifolds and 4-manifolds using bordered Floer homology. The award period runs from August 15, 2024 to July 31, 2027. The key objectives of the research project are to: 1) extend invariants developed in the PI's previous work to 3-manifolds with multiple torus boundary components, and use...
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...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support fundamental research at the intersection of geometry, dynamical systems, and group theory. The $106,928 award, which runs from June 1, 2025 to May 31, 2030, will enable the University of Wisconsin - Madison to pursue four main research goals: (1) proving the Singularity Conjecture for Cannon-Thurston maps, (2) studying the dynamics of free group...