Project Grant 1208521

This National Science Foundation project grant of $251,691 supports research in the area of topological quantum field theory at the University of Notre Dame from August 15, 2022 through July 31, 2025. The grant funds a multifaceted investigation into topological field theories in dimensions three, four, and higher, using new techniques developed over the past decade. Key areas of focus include advances relating topological field theory to the classification of smooth manifolds up to stable...

This three-year Project Grant from the National Science Foundation's Mathematical and Physical Sciences program, totaling $704,826, supports research into many-particle systems with singular interactions at New York University from June 2023 through May 2026. The research focuses on rigorously deriving effective laws and theories for collective behavior in systems of particles interacting with singular forces like the Coulomb force. Specific aims include obtaining convergence results for...

This Project Grant award from the National Science Foundation's Division of Physics provides $834,444 in funding for research activities led by Professors Lara Anderson, James Gray, and Eric Sharpe at Virginia Polytechnic Institute & State University (Virginia Tech). The award supports their collaborative research program to explore the physics that arises from string theory, focusing on strengthening the links between string theory and particle physics. Key objectives include bounding and...

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 $145,862 Project Grant awarded by the National Science Foundation's (NSF) Division of Physics will fund research activities led by Professor Kieran Holland at the University of the Pacific. The research aims to develop improved lattice actions for quantum chromodynamics (QCD) simulations using machine learning algorithms. Specifically, Professor Holland will work on parametrizing an improved lattice action for pure SU(3) Yang-Mills theory, which can serve as a testbed and have potential...

This three-year project grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program provides $299,292 to the University of Wisconsin-Madison to support research into complex methods in spectral and scattering problems. Specifically, the award will fund investigations into the non-linear Fourier transform and its relationship to scattering theory for Dirac systems of differential equations, which model spin-1/2 particles. Researchers will study questions of...

The National Science Foundation awarded a $120,000 Project Grant under its Mathematical and Physical Sciences program (CFDA 47.049) to The Research Foundation For The State University Of New York, operating as State University College, a non-profit organization. This funding supports research activities led by Professor Matthew Lippert at SUNY Old Westbury over the 3-year period from August 2023 to July 2026. The research funded by this grant uses string theory models and gauge/gravity duality...

This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports theoretical research to investigate the fractional quantum Hall effect using noisy quantum computers. The $279,013 award to the Research Foundation of the City University of New York (RFCUNY) will fund efforts to: (a) Design quantum circuits to simulate braiding and verify quasihole statistics for non-Abelian fractional quantum Hall states; (b) Implement quantum...

This $270,000 Project Grant was awarded by the National Science Foundation (NSF) Division of Physics under the Mathematical and Physical Sciences (CFDA 47.049) program. The grant supports the development of theoretical models and simulations to improve understanding of the formation and dynamical properties of the quark-gluon plasma (QGP), an extreme state of matter created in high-energy heavy-ion collisions. Specifically, the project aims to enhance the existing ZPC parton cascade model by...

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...