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 (NSF) Division of Mathematical Sciences awarded a $1,500,000 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to the University of Maryland, College Park (UMD) to strengthen both mathematics and quantum information science (QIS). This 5-year project will train mathematicians to enter the world of quantum research through a holistic curriculum guiding them from learning quantum principles to applying sophisticated mathematical...
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 $314,500 federal Project Grant award, funded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program, supports a three-year initiative titled "Q2WORK: Supporting Learners and Educators to Develop a Competitive Workforce in Quantum Information Science and Technology." The project aims to accelerate progress in quantum education by amplifying dissemination, cohesion, and collaboration across the quantum education community. Key...
This Project Grant from the National Science Foundation Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $261,101 to the University of Delaware to conduct research on noncommutative analysis in the theory of nonlocal games from July 1, 2022 to June 30, 2025. The project aims to further the links between combinatorial and probabilistic nonlocal games and mathematical analysis on noncommutative structures. It will contribute to the...
The University of Oklahoma will provide research services under a $119,959 Project Grant from the National Science Foundation awarded on September 1, 2021 through the agency's Mathematical and Physical Sciences program (CFDA 47.049). Specifically, the University will conduct research harnessing quantum entanglement for quantum-enhanced sensing through interaction-based readout. The goal of the NSF's Mathematical and Physical Sciences program is to promote progress in the mathematical and...
This $189,661 Project Grant awarded by the National Science Foundation (NSF) Directorate for Mathematical and Physical Sciences (CFDA 47.049) supports research at Pomona College in Claremont, California. The project focuses on developing new methods in noncommutative metric geometry to advance the approximation of infinite-dimensional quantum mechanical algebras by finite-dimensional counterparts. Key outcomes will include enhancing connections between noncommutative topology, noncommutative...
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 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $210,000.00 to the University of Oregon (UO) to conduct research on the "Categorification of Quasi-Split I-Quantum Groups and Related Topics in Representation Theory". The project aims to take the next step in categorifying all quasi-split I-quantum groups, building on recent discoveries by the principal investigator and collaborators. The...
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...