This National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) project grant award of $200,000 to North Carolina State University (NC State) will support research in geometric topology, knots, and four-dimensional manifolds. The primary investigator will develop tools to measure the complexity of these mathematical structures, construct new exotic four-manifolds, and study surfaces in four-manifolds, including finding exotic embeddings and non-orientable surfaces. The research will also apply instanton gauge theory to investigate topological problems such as the cosmetic surgery conjecture and determining knot complements. Additionally, the award will fund mentorship of PhD students, seminar/working group organization, and mathematical review writing to enhance the regional mathematical community. No sub-awards are planned under this grant, which runs from July 15, 2025 through June 30, 2028.
Mod # | Description | Reason For Modification | Federal Obligation (Click to sort descending) | Date (Click to sort ascending) |
|---|---|---|---|---|
| Not listed | $200.0k | 7/11/25 |