The National Science Foundation (NSF) awarded a $146,350 Project Grant to The Trustees of the University of Pennsylvania (Penn) under the Mathematical and Physical Sciences program (CFDA 47.049) on July 1, 2023. The grant funding supports research aimed at broadening the understanding of the universality phenomenon of random matrices and developing new tools and techniques for additional applications of random matrix theory. Specifically, the project will explore two research directions: 1)...
The Trustees of Princeton University were awarded a $364,540 Project Grant from the National Science Foundation Division of Mathematical Sciences on August 1, 2021 to complete the project by July 31, 2024. The grant supports the project "UNUSUAL CONCENTRATION PHENOMENA IN PROBABILITY, ANALYSIS, AND GEOMETRY" under the Mathematical and Physical Sciences program (CFDA 47.049). This program aims to promote progress in the mathematical and physical sciences to strengthen the nation's...
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...
This Project Grant award, valued at $370,000.00, was provided by the National Science Foundation (NSF) through its Mathematical and Physical Sciences (CFDA 47.049) program. The grant supports fundamental and applied research to advance the understanding of random matrices, which have significant applications across physics, data science, and mathematics. The key objectives of this award are to: (1) develop new probabilistic techniques for the analysis of random matrix models and their...
The National Science Foundation (NSF) awarded a $250,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to The Trustees of Princeton University Office of Research and Project Administration Division, doing business as Princeton University. This grant, awarded on June 1, 2024, will fund research centered on algebraic geometry and singularities in arithmetic settings, with the goal of developing new techniques to describe higher differential forms in positive...
This $350,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research to understand the structure and properties of large, complex collections of objects through geometric embedding and distortion analysis. The project will investigate fundamental questions about the growth rate of distortion required to represent objects in simpler geometric spaces, with applications in areas like algorithm design, social...
This National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) grant award to Cornell University provides $118,236 in funding from July 1, 2024 to June 30, 2027. The project focuses on studying the fundamental properties and global behaviors of random processes that are defined by related geometric or algebraic structures, such as Riemannian manifolds and groups. This work aims to advance the understanding of randomness and its applications in areas like image...
This $150,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports a collaborative research project on the "Structure vs Randomness" paradigm between mathematics and computer science. The key objectives are to develop a framework for quantifying "spreadness" and "mixing" to obtain improved bounds for important problems, with potential applications in areas like additive combinatorics,...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $250,000 Project Grant to Yale University from September 1, 2023 to August 31, 2026 under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports the development of a new perturbation theory to improve statistical analysis of large data matrices, particularly those with low-rank structure and random noise. Key anticipated outcomes include optimal error bounds for matrix parameters like...
The National Science Foundation awarded Princeton University a $152,347 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports collaborative research on algebraic geometry and singularities in positive and mixed characteristic from May 2021 to May 2023. As part of its mission to strengthen the nation's scientific enterprise and increase knowledge in the mathematical and physical sciences, the NSF program aims to promote progress in these fields...