The University of California, Los Angeles (UCLA) was awarded a $130,679.00 Project Grant by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. Through this award, UCLA's Office of Research Administration division will conduct research on the well-posedness and long-time behavior of dispersive integrable systems, which have applications in areas like fiber optics and biology. Specific objectives include investigating large...
The University of California, Los Angeles was awarded a $360,000 project grant from the National Science Foundation under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support the "FREE PROBABILITY, TRANSPORT, AND APPLICATIONS" project from July 1, 2021 through June 30, 2024. The project aims to promote progress in the mathematical and physical sciences by increasing knowledge and understanding of major problems through activities focused on...
The University of California, Los Angeles (UCLA) was awarded a $260,000 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences. The grant falls under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to advance scientific knowledge and understanding of major problems through support of mathematical and physical sciences research and education activities. Specifically, the three-year grant provides funding from July 2021 through...
This $244,222 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research on structure theory, additive combinatorics, and the behavior of multiplicative functions. The principal investigator at the University of California, Los Angeles (UCLA) plans to build on recent theoretical advancements in these areas, with potential applications in fields like cryptography, computer science, and number...
The National Science Foundation awarded a $340,516 project grant to the University of California, Los Angeles Office of Research Administration to support the Expanding Thurston Maps and Fractal Geometry project. The three-year award, made under the Mathematical and Physical Sciences program (CFDA 47.049), will fund research exploring major problems in these fields from July 1, 2021 to June 30, 2024. The Mathematical and Physical Sciences program aims to promote progress in these disciplines and...
The National Science Foundation awarded a $825,000 Project Grant to the University of California, Los Angeles under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research into topological quantum hydrodynamics in nonmetallic materials from August 2021 through July 2025. As the prime awardee, UCLA will conduct research exploring the behavior of quantum fluids and investigate topological properties in materials other than metals. This work aligns with the...
The University of California, Los Angeles was awarded a $294,956 Project Grant from the National Science Foundation under the Mathematical and Physical Sciences program (CFDA 47.049) for the period of July 1, 2021 through June 30, 2024. The grant funding will support research activities related to the description provided, titled "WELL-POSEDNESS FOR INTEGRABLE DISPERSIVE PARTIAL DIFFERENTIAL EQUATIONS." As part of the Mathematical and Physical Sciences program's goal of strengthening...
The National Science Foundation (NSF) awarded a $186,929 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the University of California, Los Angeles (UCLA) Office of Research Administration. This 3-year grant, effective June 1, 2024, will support collaborative research into the nonlinear dynamics governing the formation of cloud patterns, with a focus on marine stratocumulus and continental shallow cumulus clouds. The project will utilize a novel...
The National Science Foundation awarded a $421,000 Project Grant to the University of California, Los Angeles (UCLA) through its Mathematical and Physical Sciences (MPS) program (CFDA 47.049). The funding will support research focused on applying free probability and free information theory techniques to the study of von Neumann algebras, which serve as a mathematical framework for quantum mechanics. Key research directions include developing PDE-based methods in the non-commutative context,...
The National Science Foundation Division of Mathematical Sciences awarded a $107,892 Project Grant to the University of Southern California Department of Contracts and Grants under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The two-year project aims to further understanding of the asymptotic behavior of large random systems at positive temperature through three interrelated research directions. Specifically, the university will conduct research to derive and...