This $330,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research into quantum groups, W-algebras, and Brauer-Kauffmann categories, with a focus on understanding the underlying mathematical symmetries that govern natural phenomena. The principal investigator will develop emerging theories and applications of I-quantum groups, including exploring braid group actions, Drinfeld presentations, and categorification. The research will also investigate the character formulas and algebraic structures of finite W-algebras. This work aims to advance the fundamental mathematical understanding of symmetries and patterns in physics and other scientific domains. The project will provide research training opportunities for graduate students. No sub-awards are planned under this 3-year award, which commenced on June 1, 2024.
Mod # | Description | Reason For Modification | Federal Obligation (Click to sort descending) | Date (Click to sort ascending) |
|---|---|---|---|---|
| Not listed | $330.0k | 4/12/24 |