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 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...
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...
This Project Grant award for $330,586, provided by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA No. 47.049), supports research on the geometric and metric properties of two-dimensional surfaces. The principal investigator (PI) at Cornell University will investigate the classification of surfaces under singular flat and hyperbolic metrics, as well as the associated moduli spaces and related mathematical...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $117,892 to the Regents of the University of California at Riverside to conduct research on the geometry of mapping class groups and surface bundles. The project aims to develop combinatorial techniques for studying the geometry of mapping class groups and Teichmüller spaces, as well as the geometry of surface bundles arising from dynamics. The research will...
This federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research in differential equations and the geometry of manifolds. The award, totaling $223,343, will fund the principal investigator's work in three main areas: classification of gravitational instantons in 4 dimensions, understanding Gromov-Hausdorff limits of Einstein metrics in the collapsing case, and the study of higher-dimensional...
This Project Grant award of $200,000.00 from the National Science Foundation's (NSF) Division of Mathematical Sciences, under the Mathematical and Physical Sciences (CFDA 47.049) program, supports research on geometric variational theory and applications. The primary focus areas 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 constant...
The National Science Foundation (NSF) awarded a $112,949 Project Grant to The Trustees of the Stevens Institute of Technology to conduct research under the Mathematical and Physical Sciences (CFDA 47.049) program. The project, titled "Uniformization of Surfaces and Mapping Problems in Metric Spaces", aims to develop new mathematical approaches for understanding the geometry of non-smooth spaces, building on the classical Uniformization Theorem. The research will investigate methods for...
This Project Grant award of $170,996.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research by New York University (NYU) to study the isoperimetric problem - determining the optimal shapes that enclose a given volume with the smallest possible surface area. The project aims to deepen the understanding of how geometric properties, especially curvature, influence solutions to geometric optimization problems. Key focus areas...
This $319,951 Project Grant, awarded by the National Science Foundation (NSF) Division of Mathematical Sciences, supports the development and analysis of new computational methods for studying complex fluid systems on deforming surfaces. The key products and services to be delivered through this 3-year award include: Developing and analyzing a finite element method for tangential fluid systems on moving surfaces, a multi-component surface flow problem, and a fluid-elastic interface model to...