This National Science Foundation (NSF) Project Grant, awarded under the Mathematical and Physical Sciences program (CFDA 47.049), provides $172,247 to support collaborative research on small quantum groups, their categorifications, and topological applications. The research aims to bridge the gap between 3D topological quantum field theories and our 4D universe, with a focus on developing homological invariants of 3D and 4D manifolds. The project will involve students and postdocs, particularly from underrepresented minority groups, in this effort to extend the technical machinery of Hopfological algebra to categorify the Witten-Reshetikhin-Turaev invariant. The research also plans to continue the development of non-semisimple versions of 3D topological quantum field theories with potential applications to quantum computation. This award, effective from July 2024 through June 2027, reflects NSF's mission to support cutting-edge mathematical and physical sciences research that can yield transformative insights.
Mod # | Description | Reason For Modification | Federal Obligation (Click to sort descending) | Date (Click to sort ascending) |
|---|---|---|---|---|
| Not listed | $172.2k | 7/16/24 |