This Project Grant award of $281,548 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research at Utah State University (USU) in the field of algebra and representation theory with connections to theoretical physics. The award will fund three related research projects focused on developing and extending the theory of relative modular categories, the representation theory of affine L-infinity algebras and unrolled quantum groups, and the construction of non-semisimple topological field theories for Landau-Ginzburg theory. This research aims to advance the mathematical understanding of quantum field theory in dimensions two and three. The award integrates research, education, and career training opportunities for high school, undergraduate, and graduate students, including creating algebra education videos for Utah's high school mathematics teachers-in-training and organizing a graduate student-focused conference.
Mod # | Description | Reason For Modification | Federal Obligation (Click to sort descending) | Date (Click to sort ascending) |
|---|---|---|---|---|
| Not listed | $281.5k | 6/17/25 |