Project Grant 2603750
- 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...
- 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 Brown University $102,758 on December 1, 2025, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research in arithmetic dynamical systems on projective varieties, a field that synthesizes number theory and dynamical systems. The project funds investigation into three primary research areas: canonical heights and fields of definition on abelian varieties, including development of quantitative lower bounds on average values of...
- Federal Project Grant Award Summary Brown University received a $338,955 Project Grant from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) program, effective September 1, 2025, through August 31, 2028. This collaborative research initiative focuses on advancing harmonic analysis in non-homogeneous environments, specifically addressing singular integral operators—complex mathematical tools essential for...
- 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...
- Brown University was awarded a $331,275 Project Grant from the National Science Foundation Division of Mathematical Sciences on September 1, 2021, with a completion date of July 31, 2023. The award is part of the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise. Under this award, Brown University will research the existence and regularity of solutions to variational problems in...
- The National Science Foundation Division of Mathematical Sciences awarded The Johns Hopkins University $106,400 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop new methods for studying harmonic maps into singular geometric spaces. The project, running through August 31, 2028, and based in Baltimore, Maryland, focuses on harmonic maps whose destination spaces lack smooth structure—specifically complete metric spaces with non-positive curvature...
- 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...
- Brown University was awarded a $277,225 project grant from the National Science Foundation Division of Mathematical Sciences on August 1, 2021 to complete work by July 31, 2024. The grant falls under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to strengthen the nation's scientific enterprise through advancing knowledge and understanding of major problems. Specifically, Brown University will conduct research relating to renormalization group flows, embedding theorems,...
- Federal Project Grant Award Summary Brown University received a $300,000 project grant from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective August 1, 2025, through July 31, 2028. This collaborative research project advances fundamental understanding of nonlinear dynamics in dispersive partial differential equations (PDEs)—mathematical models that describe wave phenomena across optics, fluid...
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 two-dimensional domains into singular metric spaces, including Euclidean buildings and smooth surfaces with cone points, examining whether such maps possess unique tangent maps at singular points. A second direction concerns pluriharmonic maps from Kähler manifolds into Euclidean buildings, extending prior work on discreteness of order for harmonic maps from surfaces to higher-dimensional Kähler settings through detailed analysis of associated spectral covers. The project seeks to understand when these optimal geometric configurations exist, how regular they are, what their singularities resemble, and when they are uniquely determined by boundary or topological data. Progress is expected to deepen connections between geometric analysis, topology, and geometric group theory. Performance occurs in Providence, Rhode Island. The period of performance runs from September 1, 2026, through August 31, 2029. The assistance type is Project Grant.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $270.0k | 7/20/26 |