Project Grant 2604040
- 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...
- Federal Grant Award Summary The University of Connecticut received a $340,000 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective July 1, 2025 through June 30, 2028. This award supports research on rigorous Hausdorff dimension estimates for conformal fractals, which are complex geometric objects generated through iterated angle-preserving transformations. The project develops...
- 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...
- The National Science Foundation awarded a $282,499 project grant to the University of Connecticut's Office of Sponsored Programs under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The three-year award, issued on June 1, 2021 and concluding on May 31, 2024, will support research into cluster algebras, combinatorics, and knot theory. Most project grants under the Mathematical and Physical Sciences program promote progress in these fields to strengthen the nation's...
- The National Science Foundation Division of Mathematical Sciences awarded Princeton University a $101,060 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to support the research project "Geometric Analysis of Einstein Manifolds and Their Generalizations" from October 1, 2021 through May 31, 2022. Under this award, Princeton University researchers conducted mathematical and physical sciences research focused on geometric analysis of...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research in the field of general relativity and mathematical relativity. The purpose of the project is to study several problems in general relativity using differential geometry and mathematical analysis techniques. Key objectives include investigating the Weak Cosmic Censorship Conjecture, developing new proof methods for the Positive Mass Theorem,...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $189,955 Project Grant to the University of Connecticut (UConn) to support research on nonlinear models and layer solutions in continuum mechanics and materials science. The award, funded under NSF's Mathematical and Physical Sciences program (CFDA 47.049), will enable UConn researchers to study nonlinear models for smectic A liquid crystals and the symmetry properties of layer solutions to thin film equations....
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $440,500 Project Grant to Stanford University to conduct research on various aspects of the Einstein equations, which govern the dynamics of spacetime geometry in general relativity. The research aims to study the solution regimes where gravity is very strong, including the presence of spacetime singularities and the interaction between matter fields and gravity. Specific research questions include the nature of...
- The National Science Foundation Division of Mathematical Sciences awarded Northeastern University $100,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on microlocal analysis applied to singular geometric structures. The project develops analytic and geometric techniques to study singular spaces that arise naturally in mathematics and physics, with particular focus on gravitational instantons and constant curvature metrics with...
- This three-year project grant from the National Science Foundation's Mathematical and Physical Sciences program, totaling $349,952, will support research into the curvature of four-dimensional manifolds at Stony Brook University from September 2022 through August 2025. Specifically, the principal investigator will investigate generalizations of Einstein's field equations of general relativity in the Riemannian setting without distinguishing between space and time. The research aims to...
The National Science Foundation Division of Mathematical Sciences awarded the University of Connecticut $100,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop new mathematical methods addressing fundamental questions in Einstein's theory of general relativity. The recipient will investigate the existence, characterization, and stability of Einstein metrics through three research directions: establishing the existence and uniqueness of Bartnik mass minimizers for Lorentzian Einstein metrics that minimize Arnowitt–Deser–Misner (ADM) mass; examining the variational structure of the ADM mass functional to prove that static vacuum metrics are strict local minimizers; and developing existence theory for Riemannian Einstein metrics with prescribed boundary data on compact and asymptotically hyperbolic manifolds. The project will develop new analytical and geometric methods applicable to both Lorentzian and Riemannian settings, with broad applications in geometric analysis and mathematical relativity. Research training for students and early-career researchers is included. The award funds work performed at the University of Connecticut's Storrs, Connecticut campus. The period of performance runs from September 1, 2026, through August 31, 2028. The assistance type is a Project Grant. UConn's Office Sponsored Programs administers the award within the university's research infrastructure.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $100.0k | 7/31/26 |