Project Grant 2405301
- Federal Project Grant Award Summary The University of Nebraska received a $313,273 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 award supports fundamental research in commutative homological algebra, with a focus on settling open conjectures in the field through investigation of derived (DG) categories, Hochschild homology, and modules...
- 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 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 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...
- This National Science Foundation Project Grant award of $282,638 provides funding from June 1, 2022 to May 31, 2025 to support research in commutative and homological algebra at the University of Nebraska. Specifically, the award will further investigations into open conjectures regarding the possible values of Euler characteristics of certain complex structures and lengths of modules of finite projective dimension. The research project involves four main topics: establishing bounds on module...
- Federal Grant Award Summary The University of Nebraska received a $299,873 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), awarded July 15, 2026, with completion targeted for June 30, 2029. This award funds fundamental research to develop mathematical frameworks and computational methods for modeling nonlocal interactions—phenomena that extend beyond immediate local effects—with...
- 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 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...
- Federal Grant Award Summary The National Science Foundation (NSF) Division of Mathematical Sciences awarded the University of Massachusetts $100,000 under the Mathematical and Physical Sciences (CFDA 47.049) program for a two-year project grant effective September 1, 2025 through August 31, 2027. This project delivers fundamental research and educational products in low-dimensional topology and geometry, with particular focus on advancing understanding of four-dimensional manifolds equipped with...
- This $300,000 Project Grant awarded by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research in higher-dimensional contact topology and quantum topology conducted at UCLA from July 1, 2025 through June 30, 2028. The research initiative examines contact structures—central geometric and topological objects that appear naturally as space-time boundaries in mathematical physics and have...
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 4-Dimensional Poincaré Conjecture, exploring relationships between the topology of certain homotopy 4-spheres and the Andrews-Curtis Conjecture, and developing new connections between 3- and 4-dimensional knot invariants. The award will also fund graduate and undergraduate student research, as well as mathematics outreach programs like the Great Plains Alliance and the Distinguished Women in Mathematics Colloquium Series at the University of Nebraska-Lincoln.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $317.4k | 5/15/24 |