Project Grant 2405324
- 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 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 Project Grant award of $293,046 from the National Science Foundation's (NSF) Division of Mathematical Sciences, under the Mathematical and Physical Sciences (CFDA 47.049) Federal Grant Program, supports fundamental research on higher-dimensional spaces and their applications. The principal investigator (PI) at Kansas State University (KSU) will investigate problems related to four-dimensional spaces, including detecting differences between smooth geometric objects and studying stabilization...
- This Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $208,780 to Western Washington University from September 1, 2024 to August 31, 2027. The award supports research on free boundary problems and geometric measure theory, which have applications in areas such as heat/wave propagation, electromagnetism, stochastic control, image processing, chemical diffusion, and combustion. The principal investigator is...
- 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...
- The National Science Foundation Division of Mathematical Sciences awarded Western Washington University a $190,337 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support analysis and geometry of free boundaries research from August 2021 through July 2024. As part of the Mathematical and Physical Sciences program goal to strengthen the Nation's scientific enterprise through promoting progress in mathematics and physical sciences,...
- This Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $452,656 to California State University Fresno Foundation to support research in low-dimensional topology from September 1, 2022 to August 31, 2025. The funding will advance understanding of link homology theories and other quantum invariants through construction and study of new Khovanov-type homology theories for classical and singular knots. It will also investigate...
- 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...
- 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 (NSF) Mathematical and Physical Sciences (CFDA 47.049) Project Grant award of $199,256 to Western Washington University (WWU) will support a research program studying knotted objects in four-dimensional spaces. The primary objectives are to: Investigate the topology and geometry of the four-dimensional sphere, including resolving whether it admits exotic smooth structures and whether certain knotted two-spheres within it must be unknotted. Examine the topology, geometry, and symmetries of four-dimensional manifolds obtained as branched covers over knotted surfaces in the four-sphere. Provide robust undergraduate research, training, and mentoring opportunities, as well as organize conferences, seminars, and a math club to engage the next generation of researchers in this challenging area of four-dimensional topology. The award period runs from June 1, 2024 to May 31, 2027 and will support the principal investigator's efforts to advance scientific understanding of higher-dimensional spaces, which has important implications for fields like relativity and quantum mechanics.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $199.3k | 5/30/24 |