This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $217,223 to support research investigating applications of ideas from physics to topology and vice versa under the Mathematical and Physical Sciences program (CFDA 47.049). The awardee, Washington University, will use the funding over three years from September 2022 to August 2025 to advance homology theories constructed by the Principal Investigator and collaborators. Specific activities include investigating the use of Yang-Mills theory in topological properties of three-dimensional and four-dimensional objects, applying different versions of instanton Floer homology to problems in low-dimensional topology and group theory, and addressing versions of the Atiyah-Floer conjecture using a geometric partial differential equation. The award also supports training of graduate students and early career researchers in topology through mentoring, conferences, and outreach.
Mod # | Description | Reason For Modification | Federal Obligation (Click to sort descending) | Date (Click to sort ascending) |
|---|---|---|---|---|
| Not listed | $217.2k | 5/24/22 |