The National Science Foundation Division of Mathematical Sciences awarded The Ohio State University a $277,463 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) for the period of July 1, 2021 through June 30, 2024. The grant funds research on the topic of Around Non-Positive Curvature, which aims to promote progress in the mathematical and physical sciences by increasing scientific knowledge and enhancing understanding of major problems through...
The Ohio State University was awarded a $217,280 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The award period is from September 1, 2023 through August 31, 2026. Through this funding, The Ohio State University will conduct research in the area of geometric group theory and its applications to problems in topology. Specific projects include efforts to advance a major...
This $299,999 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research on the rigidity and bounded cohomology of groups acting on nonpositively curved spaces. The principal investigator (PI) will investigate the fundamental dynamical, topological, and geometric properties of infinite transformation groups that act in a distance-preserving manner on spaces of nonpositive curvature, such as Euclidean and...
This $282,660 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research at The Ohio State University in the field of ergodic geometry. The project encompasses a research program on the long-term behavior of dynamical systems arising in geometry, particularly the geodesic flow which has important connections to the underlying space's geometry and topology. The principal investigator will pursue two main research...
The National Science Foundation (NSF) awarded a $343,850 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Cincinnati. This 3-year grant, effective September 1, 2024, will fund research to develop new mathematical tools for analyzing the large-scale geometric behavior of non-smooth metric measure spaces, which have diverse applications across fields like fluid mechanics, neurophysiology, and fractal geometry. The project aims to enhance the...
The National Science Foundation (NSF) awarded a $285,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Utah to conduct research on hyperbolic geometry in two- and three-dimensional spaces. The project, running from August 1, 2024 to July 31, 2027, will focus on studying the geometry of hyperbolic 3-manifolds, including investigating the renormalized volume of such manifolds and the connection to the Weil-Petersson gradient flow. The...
This $142,565 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research on the study of manifolds, or geometric objects, with positive or non-negative curvature. The principal investigator (PI) at James Madison University aims to construct new examples of such manifolds and develop new methods for proving rigidity theorems about their properties. The project also includes broader impact activities like outreach,...
The National Science Foundation (NSF) awarded Brandeis University a 5-year, $113,427 CAREER grant under the Mathematical and Physical Sciences (CFDA 47.049) program. The grant supports research on the coarse geometry and symmetries of hyperbolic spaces, with goals to generalize notions of coarse negative curvature, establish stability results for hierarchically hyperbolic groups, and extend combinatorial methods to CAT(0) groups. The project also incorporates research components into...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $137,633 to the University of Chicago to investigate the connections between non-Euclidean hyperbolic geometry and Euclidean geometry. The research aims to develop a stronger link between the earthquake and horocycle flows, study the structure of optimal Lipschitz maps between hyperbolic surfaces, and investigate related counting problems on flat and...
This National Science Foundation award under the Mathematical and Physical Sciences program (CFDA 47.049) provides $275,396 to the University of Oklahoma from August 1, 2023 through July 31, 2026. The funding supports research into the geometries and topologies of surfaces and graphs. Specifically, the award will advance understanding of how abstract algebraic groups manifest as symmetries of geometric spaces in one and two dimensions. Graduate students will gain research experience applying...