This three-year $350,000 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program will support research at the University of Maryland, College Park on moduli spaces of Higgs bundles, gauge theory, and related topics in complex geometry. The principal investigator will further studies on moduli spaces of Higgs bundles on Riemann surfaces, including work on parabolic lambda-connections, construction of a universal moduli space, and the asymptotic and topological structure of the moduli space. Additional projects include investigating complex Chern-Simons bundles' links to hyperholomorphic bundles on moduli spaces, and clarifying relationships to previous work on Atiyah algebras of determinants of cohomology. A third aim is to study higher-dimensional generalizations of the Yang-Mills equations and their connection to holomorphic bundle complex geometry. The award also supports mentorship of undergraduate and graduate students and early career researchers, as well as workshops introducing developments in the field.
Mod # | Description | Reason For Modification | Federal Obligation (Click to sort descending) | Date (Click to sort ascending) |
|---|---|---|---|---|
| Not listed | $350.0k | 8/5/22 |