Project Grant 2505574
- This $237,552.00 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research at Rutgers, The State University focused on developing new conceptual frameworks and technical tools for understanding the geometric and analytic structures of the universe. The proposed research aims to make fundamental progress in the study of analytic and geometric singularities from nonlinear partial differential equations in geometry...
- Rutgers, The State University received a $305,747 Project Grant award from the National Science Foundation Division of Mathematical Sciences on September 1, 2021 to complete the project by August 31, 2024. The grant funds research under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise through increasing knowledge and enhancing understanding of major problems. Specifically, the award...
- This federal Project Grant award of $199,056.00 from the National Science Foundation's Mathematical and Physical Sciences (CFDA 47.049) program supports research on nonlinear geometric flows and singularity analysis. The principal investigator and their team at Columbia University aim to study the singular behavior of partial differential equations related to physical phenomena like turbulence, black holes, cancer cell accumulation, and neural activity. The research will focus on understanding...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $399,998 Project Grant to the Massachusetts Institute of Technology (MIT) under the Mathematical and Physical Sciences program (CFDA 47.049) to fund research on singularities and rigidity in geometric evolution equations. The research focuses on geometric flows, which model the evolution of geometric objects like functions, surfaces, or Riemannian metrics over time using nonlinear generalizations of the classical...
- This $199,999 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on Ricci flow and Ricci solitons. The Principal Investigator aims to extend the surgical construction techniques developed by Perelman to continue Ricci flows through singularities, with the goal of uncovering new geometric and topological applications. The research project has two main components: 1) classifying ancient Ricci flows...
- This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) provides $300,000 to Yale University to advance research on singularities in minimal submanifolds and geometric flows. The two-part project aims to leverage the theory of self-expanders for mean curvature flow to establish sharp lower bounds for densities of minimal cones, and to address the fundamental question of uniqueness of blow-up limits at...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $200,000.00 to Northwestern University to conduct research on singularities in Kähler geometry and Lagrangian mean curvature flow. The award period runs from August 1, 2025 to July 31, 2027. The key objectives of the project are to: 1) Further the geometric understanding of singular Kähler-Einstein spaces and demonstrate that such spaces satisfy the RCD...
- This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) provides $608,098 to The Trustees of Princeton University to conduct collaborative research on understanding singularities in incompressible fluid flows. The three-year project (July 1, 2023 to June 30, 2026) integrates theoretical proofs, numerical analysis, and machine learning to investigate the formation of singularities in three-dimensional incompressible Navier-Stokes and...
- The National Science Foundation (NSF) awarded a $152,862 Project Grant under its Mathematical and Physical Sciences program (CFDA 47.049) to Rutgers, The State University of New Jersey - Newark Division. The grant will fund research focused on addressing open problems in geometric analysis and exploring their applications in fields such as geometry, topology, and mathematical physics. Key objectives include developing novel approaches in the regularity theory for linear and fully nonlinear...
- This $200,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) aims to advance the study of Einstein metrics and Ricci flows in 4-dimensional topology at the Massachusetts Institute of Technology (MIT). The project will focus on understanding and constructing 4-dimensional Einstein metrics and Ricci flows, particularly examining singularities such as orbifold singularities, cusp formation, and collapsing. This research...
This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides USD 100,000 to Rutgers, The State University to study the dynamics of cylindrical singularities in geometric flows and ancient solutions. The main objective is to understand the formation and behavior of singularities that develop in certain types of geometric equations, such as the Ricci flow and mean curvature flow, which are used to evolve geometric objects like surfaces over time. The research aims to help classify the possible topologies of the initial geometric objects and define solutions past the singularities. The project plans to train new students and postdoctoral researchers, as well as organize workshops on topics in geometric analysis. The award period runs from September 1, 2025 to August 31, 2027.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $100.0k | 7/31/25 |