This $300,000 Project Grant awarded by the National Science Foundation's Mathematical and Physical Sciences (CFDA 47.049) program supports research, education, and outreach activities at the University of Minnesota. The goal is to develop theoretical underpinnings and quantum algorithms that can be implemented on modern quantum computing platforms. Specifically, the project will investigate the effectiveness of noisy-dissipative qubit arrays for quantum optimization and cooling, and implement...
This National Science Foundation (NSF) Project Grant award of $210,000.00, under the Mathematical and Physical Sciences (CFDA 47.049) program, supports research at the University of Minnesota on generalized determinantal varieties. The project examines symplectic matrix Schubert varieties, alternating sign matrix varieties, and quiver loci through the development of diagonal Gröbner geometry theory. Key goals include providing opportunities for undergraduate, graduate, and postdoctoral...
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 Project Grant award of $193,010.00 from the National Science Foundation's (NSF) Division of Mathematical Sciences under the CFDA 47.049 Mathematical and Physical Sciences program supports research to develop connections between number theory and physics. The project aims to explore the representation theory of quantum groups and their applications in explaining the bridge between special functions in number theory and statistical mechanics. The research will provide training opportunities...
This National Science Foundation (NSF) Project Grant award, with CFDA number 47.049 under the Mathematical and Physical Sciences Program, provides $120,000 in funding to the University of Minnesota Duluth for a research project led by Professor Claire Zukowski. The project aims to advance the understanding of quantum gravity in a model approximating our known universe. Specifically, the research will apply quantum information theoretic tools to study new observables for de Sitter spacetime in...
The National Science Foundation (NSF) awarded a $160,000 Project Grant through its Mathematical and Physical Sciences (CFDA 47.049) program to the Regents of the University of Minnesota to support research on the mathematical modeling of "moiré materials" - novel 2D materials formed by stacking 2D layers with a relative twist. The project aims to develop advanced mathematical methods for predicting the emergent strongly correlated electronic phases in these materials, which hold...
This Project Grant award, totaling $180,000.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award will support collaborative research at Drexel University on combinatorial methods for problems in Lie theory and symmetric function theory, with applications to probability, statistical mechanics, and quantum information theory. Key activities include developing transformations of nonsymmetric Macdonald...
This federal Project Grant award, provided by the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049), aims to develop new quantum algorithms and schemes to extend the capabilities of quantum devices and apply them to challenging problems in heavy-element computational chemistry. The $105,767 award, granted on October 1, 2024, with a completion date of September 30, 2027, focuses on advancing quantum information science and engineering (QISE) workforce...
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 Project Grant award, totaling $100,000.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports fundamental and applied research in algebraic combinatorics, focusing on two key areas: Developing new combinatorial techniques in classical incidence geometry, which studies configurations of geometric objects like points, curves, and surfaces. This includes exploring connections to...