Project Grant 2506328
- 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 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 $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,...
- This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences program (CFDA 47.049) aims to advance the understanding of key problems in the field of calculus of variations. Specifically, the $149,999 award dated August 15, 2024 supports research on the Aviles-Giga conjecture, which seeks to provide a mathematical justification for a scaling law observed in physical phenomena like thin film blistering and micromagnetics. The project also explores...
- 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 Project Grant award, valued at $220,000.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports research by Brown University to study variational methods in singular geometry, with applications to phenomena like classical mechanics, geodesics, and harmonic maps. The project aims to develop new analytical techniques to investigate the properties of solutions to non-linear elliptic PDEs, and...
- The National Science Foundation awarded a $254,517 Project Grant to Columbia University for research titled "INTERACTING FREE BOUNDARIES IN THE CALCULUS OF VARIATIONS" under the Mathematical and Physical Sciences program (CFDA 47.049). The three-year award running from July 1, 2021 to June 30, 2024 will support research into interacting free boundaries and their applications to the calculus of variations. The Mathematical and Physical Sciences program aims to advance scientific...
- The National Science Foundation awarded The Johns Hopkins University a $320,648 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support research into various aspects of the theory of partial differential equations as they relate to the dichotomy between regularity and singularity formation. The Principal Investigator will pursue research in regularity theory and geometric properties for partial differential equations arising in the theory of...
- This National Science Foundation (NSF) Project Grant award provides $253,734 to The Johns Hopkins University to support research on the regularity of solutions to elliptic partial differential equations and generalized minimal submanifolds. The award focuses on two main mathematical objectives: studying unique continuation for solutions to elliptic PDEs and investigating the regularity theory for generalized minimal submanifolds. This research under the NSF's Mathematical and Physical Sciences...
- 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 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 and mean curvature flow. The research aims to advance understanding of minimal surfaces, which have applications in areas like materials science and computer graphics. The project also includes educational components, such as organizing workshops and seminars. The award period runs from August 1, 2025 to July 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $150.0k | 7/28/25 |