Project Grant 2405266
- 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,...
- This three-year $215,251 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research at the University of Tennessee to develop techniques in the field of analysis on metric spaces and geometric measure theory. The goals of the research are to relate integral bounds for discrete forms of curvature on non-smooth manifolds with locally Euclidean bi-Lipschitz parameterizations in dimensions greater than or equal to three,...
- This federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research in differential equations and the geometry of manifolds. The award, totaling $223,343, will fund the principal investigator's work in three main areas: classification of gravitational instantons in 4 dimensions, understanding Gromov-Hausdorff limits of Einstein metrics in the collapsing case, and the study of higher-dimensional...
- 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...
- The National Science Foundation (NSF) awarded a Project Grant under its Mathematical and Physical Sciences program (CFDA 47.049) to the University of Texas at Austin, totaling $156,381, with a grant period from August 15, 2023 to July 31, 2026. The grant supports research on topological 4-manifolds, which aims to classify topological 4-dimensional manifolds with a fixed boundary and good fundamental group, as well as classify locally flat surfaces in 4-manifolds with a fixed knot group. The...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $350,358 to the University of Connecticut (UConn) to investigate geometric boundary value problems in general relativity. The research aims to advance understanding of the universe's structure by revealing connections between geometric PDEs and properties of the Laplace equation. Specifically, the project will address long-standing conjectures related to...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides funding of $226,665 to the University of Virginia (UVA) for research focused on the geometric classification and topological properties of 4-dimensional manifolds. The objectives include examining the validity of 4-dimensional topological surgery theory, studying symmetries of 4-dimensional spaces, and developing new tools for distinguishing them. The project...
- 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 University of Connecticut will use $348,009 in funding from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) over a three-year period from September 2021 through August 2024. The Project Grant award will support research on "Invariant Metrics on Complex Manifolds" to promote progress in mathematical sciences and strengthen the nation's scientific enterprise. The funding will enable investigation of major problems in these fields...
- This $150,000 Project Grant, awarded by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), supports collaborative mathematical research conducted at Temple University from August 1, 2025 through July 31, 2027. The project delivers fundamental mathematical research and scholarship at the interface of geometry, topology, algebraic geometry, number theory, and dynamics, with particular emphasis on real and...
This National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) project grant provides $136,007 to the University of Tennessee at Martin (UT Martin) from July 1, 2024 to June 30, 2027. The grant supports research on the geometric properties of manifolds, with a focus on understanding the relationships between double disk bundles and other important classes of manifolds. The principal investigator will conduct projects ranging from undergraduate research experiences to international collaborations, aiming to improve the topological and geometric understanding of double disk bundles. This work, motivated by the double soul conjecture and the introduction of codimension one biquotient foliations, seeks to contribute to the broader knowledge of manifolds and their role in Einstein's general theory of relativity. No sub-awards are planned under this grant.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $136.0k | 6/7/24 |