The National Science Foundation (NSF) awarded a $200,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of South Florida (USF) to conduct research on the development of new cryptographic primitives for post-quantum cryptography. The project aims to construct novel cryptographic schemes based on rank metric codes derived from Drinfeld modules, as well as explore new variants of the Hamming metric for code-based cryptography. This research...
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 $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...
The National Science Foundation (NSF), under its Mathematical and Physical Sciences program (CFDA 47.049), awarded a $213,770 Project Grant to The Regents of the University of Colorado, doing business as the University of Colorado Office of Contracts and Grants Division. The 3-year grant supports research by the principal investigator to study invariants of minimal and hyperbolic dynamical systems using abstract operator algebras and K-theory. Key projects include investigating the Elliott...
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 three-year, $270,315 National Science Foundation Division of Mathematical Sciences Project Grant will support research and outreach activities focused on curves with rare geometric and arithmetic properties. Specifically, the principal investigator at Colorado State University will evaluate Galois actions, cohomological obstructions, and supersingular reductions of curves through three research projects. The first will study Galois group actions on the cohomology of curves with...
This Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) provides $200,000 to support research at Boston University from September 1, 2024 to August 31, 2027. The research aims to explore new theoretical frameworks for the quadratic Chabauty method, compute invariants measuring curve complexity, and introduce new tools to study the Ceresa cycle, a fundamental...
The National Science Foundation (NSF) awarded a $600,000 Project Grant under its Computer and Information Science and Engineering (CISE) program (CFDA 47.070) to the University of California, Los Angeles (UCLA) Office of Research Administration. The grant, awarded on July 1, 2024, will fund a research project to investigate post-quantum multivariate cryptography and develop novel quantum algorithms and public-key cryptosystems resistant to quantum computing capabilities. Key objectives...
The National Science Foundation awarded a $260,737 Project Grant to the University of Colorado Boulder under the Mathematical and Physical Sciences program (CFDA 47.049). The grant funds the CAREER: BEYOND INDEPENDENCE: RANDOM MATRICES AND APPLICATIONS project from July 1, 2022 through June 30, 2027. The project aims to advance understanding of random matrix theory and its applications through research and education activities. As part of the Mathematical and Physical Sciences program's goal...
The Regents of the University of Colorado received a $249,017 Project Grant award from the National Science Foundation Division of Physics on September 1, 2021 to complete the project by August 31, 2024. The grant supports research to develop direct estimates and confidence intervals for the fidelity of quantum states under the Mathematical and Physical Sciences program (CFDA 47.049). This program aims to advance mathematical and physical sciences knowledge and understanding of major problems to...