Project Grant 2204367
- 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 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides funding of $226,665 to the University of Virginia (UVA) for research focused on the geometric classification and topological properties of 4-dimensional manifolds. The objectives include examining the validity of 4-dimensional topological surgery theory, studying symmetries of 4-dimensional spaces, and developing new tools for distinguishing them. The project...
- The National Science Foundation (NSF) awarded a Project Grant under its Mathematical and Physical Sciences program (CFDA 47.049) to the University of Texas at Austin, totaling $156,381, with a grant period from August 15, 2023 to July 31, 2026. The grant supports research on topological 4-manifolds, which aims to classify topological 4-dimensional manifolds with a fixed boundary and good fundamental group, as well as classify locally flat surfaces in 4-manifolds with a fixed knot group. The...
- This $200,000 four-year project grant was awarded by the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) to North Carolina State University to conduct research in geometric topology, including the study of knots, three- and four-dimensional shapes, and the development of tools to measure the complexity of these objects. The project aims to produce new exotic smooth four-manifolds, study surfaces in four-manifolds, and apply instanton gauge theory to address...
- This Project Grant award of $317,407 from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will support research at the University of Nebraska on the topology of 3- and 4-dimensional manifolds. The project aims to uncover deep connections between manifold theory in these dimensions, with potential applications in fields such as biology, chemistry, physics, and quantum computing. Specific objectives include proving additional cases of the Smooth...
- 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 National Science Foundation Project Grant of $250,000 supports research into low-dimensional topology through July 2025. Funded under the Mathematical and Physical Sciences program (CFDA 47.049), the award to Duke University will advance understanding of fundamental questions in knot theory and 4-manifold topology. Specifically, the principal investigator will investigate knot concordance problems tied to the unique properties of 4-dimensional manifolds compared to higher dimensions....
- The Trustees of Princeton University received a $200,266 Project Grant award from the National Science Foundation Division of Mathematical Sciences. The grant falls under the NSF's Mathematical and Physical Sciences program (CFDA 47.049) to promote progress in these fields and enhance the Nation's scientific enterprise. The three-year award beginning July 1, 2021 will support research on Floer homology and immersed curve invariants in low dimensional topology conducted at Princeton University....
- This Project Grant award of $150,000 from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research at the University of Chicago to develop a theory of mapping class groups of closed 4-dimensional manifolds. The goal is to understand fundamental relationships between symmetries arising in different areas of mathematics, such as the connections between certain 4-dimensional spaces central in physics and collections of reflective symmetries of...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $170,443 Project Grant to the University of Massachusetts Boston (UMass Boston) under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research in "Critical Symplectic Geometry, Lagrangian Cobordisms, and Stable Homotopy Theory." The project aims to incorporate ideas from homotopy theory and category theory into symplectic geometry to prove structural results about...
This three-year, $168,974 National Science Foundation Mathematical and Physical Sciences project grant funds research at Princeton University to advance understanding of smooth structures in four-dimensional manifolds. Specifically, the grantee aims to (1) classify smooth four-manifolds up to stable diffeomorphism by connected sum with S^2 x S^2, (2) characterize smooth structures on topological four-balls embedded in S^4, and (3) study embeddings of contractible manifolds called "corks" under regular homotopy and isotopy. The grantee also plans public engagement activities involving teaching mathematics to incarcerated students. The NSF Mathematical and Physical Sciences program supports basic research and education in the mathematical and physical sciences to strengthen the nation's scientific enterprise.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $169.0k | 8/15/22 |