The National Science Foundation (NSF) Division of Physics awarded a $137,548 Project Grant to the University of New Mexico (UNM) under the Mathematical and Physical Sciences program (CFDA 47.049). The 3-year grant, running from September 1, 2023 to August 31, 2026, will fund research to deepen the understanding of quantum computational advantage. Specifically, the project seeks to explore the interplay between entanglement, measurement, and quantum many-body physics in the context of "noisy...
This $299,996 Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental mathematical research by a team at Utah State University. The project aims to develop new algebraic and geometric tools to formalize and advance the mathematical theory underlying quantum physics, particularly in low-dimensional topology and the theory of quantum invariants. The key products and...
The National Science Foundation awarded a $368,340 Project Grant to Texas A&M University under the Mathematical and Physical Sciences program (CFDA 47.049) for work on "Quantitative Operator K-Theory and Applications." The Principal Investigator and students will develop quantitative operator K-theory to investigate problems at the intersection of noncommutative geometry, classical geometry, topology, and mathematical physics. They will focus on applying quantitative operator...
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 $282,000 Project Grant award was provided by the National Science Foundation's (NSF) Division of Materials Research under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049). The award supports theoretical research and educational activities aimed at understanding topological materials, which have unique conductive properties that remain stable despite external disturbances. The key objectives of this 3-year project are to: 1) study the hydrodynamic response and...
This Project Grant award from the National Science Foundation (NSF) Division of Materials Research, under the Mathematical and Physical Sciences (CFDA 47.049) program, provides $500,000 in funding to the University of California, Berkeley (UC Berkeley) for theoretical and computational research and education in solid state physics and materials science. The key objectives are to use quantum theory, high-performance computing, and new concepts like topology to explain and predict the...
This $193,010 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports a research project at the University of Minnesota to develop connections between number theory and physics. The project focuses on using quantum groups and their representation theory to bridge the theory of special functions in number theory with statistical mechanics models in physics. Key objectives include providing research training opportunities...
The University of New Mexico was awarded a $152,476 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support collaborative research on parallel space-time solvers for systems of partial differential equations from July 1, 2021 to June 30, 2024. The Mathematical and Physical Sciences program aims to advance scientific knowledge and enhance understanding of major...
This National Science Foundation (NSF) Project Grant, awarded under the Mathematical and Physical Sciences program (CFDA 47.049), provides $172,247 to support collaborative research on small quantum groups, their categorifications, and topological applications. The research aims to bridge the gap between 3D topological quantum field theories and our 4D universe, with a focus on developing homological invariants of 3D and 4D manifolds. The project will involve students and postdocs,...
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...