Project Grant 2603880
- The National Science Foundation Division of Mathematical Sciences awarded Brown University $270,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research on minimal surfaces and harmonic maps into singular targets. The project investigates regularity and rigidity questions for harmonic maps and minimal surfaces—geometric objects that minimize energy or area under prescribed constraints. Research focuses on harmonic maps from...
- The National Science Foundation Division of Mathematical Sciences awarded North Carolina State University $160,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to study extremal eigenvalue problems and minimal surfaces. The research investigates global existence and uniqueness properties for critical points of functionals governing membrane and interface structures, with applications to mathematical models of soap films, phospholipid vesicles, and black...
- The National Science Foundation Division of Mathematical Sciences awarded Brown University $300,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to advance rigorous computational methods for solving long-standing problems in partial differential equations and mathematical analysis. The project develops and validates computer-assisted proofs and artificial intelligence as trustworthy tools for scientific discovery, combining interval arithmetic,...
- 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...
- 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 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 Directorate for Mathematical and Physical Sciences awarded Brown University $270,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate relationships between smooth and discrete symmetries, specifically surface subgroups of lattices in semi-simple Lie groups. The research will classify surface subgroups of lattices aligned with a given SL_2(R) subgroup, beginning with reconciliation of multiple definitions of...
- The National Science Foundation Division of Mathematical Sciences awarded The University of Chicago $104,700 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on differential geometry and minimal surfaces. The project addresses problems in geometric reconstruction: determining the ambient metric on a 4-manifold from its area spectrum, finding infinitely many unstable minimal surfaces in 4-manifolds, and investigating the existence of...
- The National Science Foundation Division of Mathematical Sciences awarded Brown University a $454,629 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to support research on Variational Methods in Singular Geometry from August 15, 2021 through July 31, 2024. Brown University will utilize the funding to advance scientific understanding of major problems confronting the nation through research that promotes progress in the mathematical and physical...
- The National Science Foundation Division of Mathematical Sciences awarded Brown University a $350,000 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) for the period of July 1, 2021 through June 30, 2024. The grant funds research on spiral waves and target patterns, to promote progress in the mathematical and physical sciences as outlined under the CFDA program. The research is being conducted at Brown University in Providence, Rhode Island and...
The National Science Foundation Division of Mathematical Sciences awarded Brown University $303,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support collaborative research on minimal surfaces and hypersurfaces in round spheres. The principal investigators will determine the index and nullity of minimal surface doublings in the round three-sphere and free boundary minimal surface doublings in the unit three-ball, with the goal of characterizing low-index surfaces of any topological type according to proposed conjectures. The team will develop new minimal surface stacking and doubling constructions generalizing earlier techniques, and new minimal hypersurface doubling constructions using equivariant geometry methods to address questions about minimal hypersurfaces of dimension three or greater in round spheres and Euclidean spaces. The work includes developing new gluing constructions for free boundary minimal surfaces near boundaries in general convex domains. This research in differential geometry applies to engineering, physics, and related fields by advancing understanding of spaces where sophisticated calculus can be performed. The award period runs from August 1, 2026, through July 31, 2029, with work performed in Providence, Rhode Island.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $303.0k | 8/1/26 |