Project Grant DESC0025937

This Project Grant from the National Science Foundation's Division of Mathematical Sciences will support research into operator algebra and quantum information theory at the University of Illinois from August 2023 through July 2026. The $288,684 award will fund the development of tools from functional analysis, operator algebras, and quantum probability to explore connections to quantum information theory. Specifically, the grantee will analyze how information is encoded in the state of a...

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...

This Project Grant from the National Science Foundation's Mathematical and Physical Sciences program provides $325,855 to the University of Houston from June 2022 through May 2025. The funding supports research and training opportunities for graduate students in the theory of operator algebras generated by unitary group representations and their connections to discrete group structure. Specifically, the principal investigator will investigate new operator algebraic rigidity phenomena for...

The National Science Foundation awarded a $385,878 project grant to The Regents of the University of Colorado for research titled "Topological and C*-Algebraic Quantum Matter" under the Mathematical and Physical Sciences program (CFDA 47.049). The three-year award beginning July 1, 2021 will support research into topological and operator algebraic structures in quantum many-body systems and quantum field theories. The University of Colorado will leverage its expertise in operator...

This three-year Project Grant from the National Science Foundation's Mathematical and Physical Sciences program ($160,000) will support research at Michigan State University exploring the connections between cluster algebras, quantum groups, and decorated character varieties. The principal investigator will investigate the quantum geometry of moduli spaces within the framework of cluster algebras, examining relationships between decorated character varieties, quantum groups, and Legendrian...

This Project Grant from the National Science Foundation Division of Physics provides $540,000 to Louisiana State University under the Mathematical and Physical Sciences program (CFDA 47.049) from July 15, 2022 to June 30, 2025. The award will support research into loop quantum gravity to further understanding of black hole evaporation, one of the most important outstanding problems in theoretical physics. Key research activities include studying the applicability of the weak gravity conjecture...

This $599,159 federal Project Grant award from the National Science Foundation's (NSF) Computer and Information Science and Engineering (CISE) program supports research at the University of California, Davis (UC Davis) focused on the intersection of quantum mathematics, computational complexity, and geometry. The project aims to explore the existence or non-existence of quantum algorithms, fast algorithms for geometric and topological problems, and the geometric properties of quantum physics...

This $415,000 National Science Foundation project grant supports research at Lehigh University into string theory, gravity, and strongly coupled matter through June 2025. Funded under the Mathematical and Physical Sciences program (CFDA 47.049), professors Sera Cremonini and Timm Wrase will conduct research to further understanding of string theory and address fundamental questions about basic interactions in nature and the cosmological history of the universe. Their work will explore...

This Project Grant award of $149,002 was provided by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The award will fund research at the University of Iowa to extend the foundations of representation theory of finite dimensional associative algebras to the setting of algebras in tensor categories. This work aims to broaden participation in mathematics by engaging a diverse group of doctoral students in...

This $390,000 Project Grant awarded by the National Science Foundation (NSF) Division of Physics to the University of Chicago supports research activities led by Professor Jeffrey A. Harvey to advance fundamental understanding of string theory and quantum field theory. The project will focus on studying the algebraic structure and symmetries of special states known as BPS states in these theoretical frameworks, with the goal of uncovering new approaches to unify the known forces of nature. The...