Project Grant 2506702
- 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...
- 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,...
- 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 $100,000 Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) aims to develop a deeper understanding of the topology and geometry of four-dimensional spaces. The research will explore similarities and differences among these spaces when equipped with additional geometric structures, such as smooth, symplectic, and complex structures, using a mix of mathematical methods. Key goals include constructing exotic...
- 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 from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $200,000 in funding to Purdue University from September 1, 2025 through August 31, 2028 to conduct research on "Stability Phenomena in Topology and Number Theory". The project will explore patterns in the homology of sequences of spaces and apply these findings to enhance understanding in areas such as number theory, with a focus on...
- 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 (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $150,000.00 in funding to Purdue University to advance research on topological minimal surfaces and their applications to topology and group theory. The primary goal of this research project is to better understand the minimal complexity of surface maps into various spaces under different constraints, with a focus on optimizing the stable commutator length and Gromov norm in negatively curved 2-complexes. This work aims to provide deeper insights into the shape and structure of spaces, with potential applications in areas such as the study of the universe, robotics, and vehicle path planning. The project also involves continued regional workshop and student mentorship activities at Purdue University. No sub-awards are planned under this grant.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $150.0k | 8/5/25 |