Project Grant 2506810
- This $121,081 Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research on minimal surfaces, geometric group theory, and mathematical representation theory. The principal investigator will work on deforming smooth spaces (manifolds) into optimal shapes using the concept of minimal surfaces, with the goal of providing new insights into the possible shapes of manifolds. The project will also include student...
- This federal Project Grant award, valued at $235,375, was provided by the National Science Foundation (NSF) through its Mathematical and Physical Sciences (CFDA 47.049) program. The grant supports research by the principal investigator at Rutgers, The State University, to develop new techniques for studying minimal surfaces and exploring their applications in topology and geometry. The key objectives of this 3-year project include discovering new minimal surfaces, studying the relationship...
- The National Science Foundation (NSF) awarded a $421,998 Project Grant to the University of Chicago to support research on minimal surfaces, which are important mathematical objects with applications in physics, material science, and other fields. The funding, provided under NSF's Mathematical and Physical Sciences program (CFDA 47.049), will allow the university to study the flexibility and rigidity of minimal surfaces in various geometric spaces. The project aims to deepen the understanding of...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $149,999 to the University of Notre Dame to conduct research on the mathematical properties of minimal surfaces. The primary goals of the research are to better understand the singular nature of minimal surfaces, such as the behavior near singularities and the relationship between capillary minimal surfaces and the Bernoulli problem. The project will also...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $150,000 to support research on the geometric calculus of variations and the study of properties of optimal or nearly optimal submanifolds. The project, awarded to The Johns Hopkins University, focuses on investigating measures of complexity for submanifolds and their relationship to geometric partial differential equations such as the minimal surface equation...
- This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) provides $200,000.00 to Cornell University to advance geometric variational theory and its applications. The key research objectives include investigating the existence of closed minimal surfaces with controlled genus in three-manifolds, developing min-max theory for minimal hypersurfaces in non-generic settings, and studying the existence of...
- 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...
- This National Science Foundation award provides $114,897 to the University of Texas at Dallas under the Mathematical and Physical Sciences program (CFDA 47.049) from August 1, 2022 through July 31, 2025. The principal investigator will conduct research on the existence and properties of minimal surfaces in hyperbolic 3-manifolds. Minimal surfaces are locally area-minimizing geometric objects with applications across various fields including materials science, biology, and low-dimensional...
- The National Science Foundation awarded a $250,573 Project Grant to the University of Notre Dame under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research into singular structures of minimal surfaces and higher dimensional minimal hypersurfaces. Specifically, the Principal Investigator will study the singular set geometry and behavior near singularities of minimal surfaces, as well as classify certain 8-dimensional minimal hypersurfaces in Euclidean space...
- This $234,951 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research into nonlinear partial differential equations and minimal submanifolds in Lagrangian geometry. The project, conducted by the University of North Carolina at Chapel Hill, will generate research opportunities for graduate students and facilitate the mentoring of graduate students and postdocs. The research will focus on two key areas:...
This $199,999 federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) will support research by Princeton University into questions related to the variational theory of minimal surfaces and its applications. The research will advance the fundamental understanding of minimal surfaces, which have encountered applications in areas such as three-dimensional topology, mathematical physics, complex and conformal geometry, and materials science. The project aims to investigate the Morse-theoretic properties of the space of minimal varieties using a combination of min-max methods and topological techniques. This research has the potential for significant impact in mathematical analysis and the physical sciences, while also contributing to the training of students and postdocs and the dissemination of knowledge within the mathematical sciences community. The project will be conducted at Princeton University from September 2025 through August 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 8/19/25 |