Project Grant 2506325
- 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...
- 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 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 Project Grant award, provided by the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049), supports collaborative research on bridging singularities in algebra and geometry across mathematical characteristics. The $109,999 award, effective August 1, 2025 through July 31, 2027, aims to deepen the theoretical foundations of commutative algebra and address problems in related disciplines such as algebraic geometry. The research focuses on singularities, or...
- 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...
- 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...
- The National Science Foundation (NSF) awarded a $339,999 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to New York University (NYU) for research on geometric analysis and complex geometry. The award supports the principal investigator's work on studying geometric structures of complex manifolds, including Calabi-Yau manifolds, and investigating the nature of singularities that arise in Ricci flow - a geometric evolution equation. The research aims to enhance...
- This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) to Northeastern University totals $243,319 over the period from August 1, 2023 to July 31, 2026. The project will use effective techniques in geometric microlocal analysis to study singular metrics and address problems related to metric degenerations, including perturbation theory, singular uniformization problems, parametrization of moduli spaces, and related geometric properties....
- This $150,000 Project Grant was awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award will support several research projects at Northwestern University that aim to advance the understanding of quantization of brane moduli spaces in string theory. Specific areas of focus include the moduli of augmentations of Legendrian knots, quantization of brane moduli spaces connected to open Gromov-Witten invariants, and...
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 property, which has important consequences for algebraic geometry; and 2) Study singularities that can form along the Lagrangian mean curvature flow, with the goal of showing that only simple singularities can generically occur, similar to recent progress on hypersurface mean curvature flow. The award also supports the training of graduate students and outreach activities such as seminars, conferences, and engagement with local elementary schools.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 7/18/25 |