Project Grant 2347230
- The University of Texas at Austin received a $183,837 Project Grant award from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research investigating abstract structures in three and four dimensions using Floer homology to study geometric questions involving knots, surfaces, and manifolds. The Principal Investigator aims to expand the role of symmetry in Floer homology by exploring novel...
- 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...
- Federal Project Grant Award Summary The University of Texas at Austin received a $111,427 Project Grant award from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049) effective September 1, 2025, through August 31, 2027. This research project investigates discrete subgroups of Lie groups and geometric structures on locally homogeneous manifolds—abstract mathematical objects with applications to theoretical physics and cosmology. The research aims to advance...
- 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....
- 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 Division of Mathematical Sciences awarded a $578,199 Project Grant to the University of Texas at Austin for collaborative research related to matroids, graphs, and algebraic geometry from July 1, 2021 to June 30, 2024. The award supports research under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise through increasing knowledge and enhancing understanding...
- This three-year Project Grant from the National Science Foundation's Mathematical and Physical Sciences program, totaling $215,864, will fund research into low-dimensional topology through August 2025. Specifically, the principal investigator at the University of Notre Dame will employ combinatorial tools to study problems involving knots, surfaces embedded in four-dimensional manifolds, and the detection of exotic smooth structures in dimension four. This includes investigating the meridional...
- 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...
- This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences program (CFDA 47.049) provides $199,482 to the University of Illinois for research on the topology of 3-manifolds and 4-manifolds using bordered Floer homology. The award period runs from August 15, 2024 to July 31, 2027. The key objectives of the research project are to: 1) extend invariants developed in the PI's previous work to 3-manifolds with multiple torus boundary components, and use...
- This National Science Foundation Project Grant award of $104,011 provides funding from July 1, 2022 through June 30, 2024 to support research in differential topology at Rutgers University-Newark. The award is made under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in mathematics and the physical sciences. Specifically, the funding will support research into complex plane curves and their applications in 4-dimensional topology. The principal...
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 research also plans to investigate the non-orientable unknotting conjecture related to non-orientable locally flat surfaces in the 4-sphere. In addition to the research activities, the grant will enable the Principal Investigator to organize conferences, write lecture notes, maintain a conference listing website, produce research-level surveys, and mentor junior researchers.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $156.4k | 9/15/23 |