This federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences Program (CFDA 47.049) supports fundamental research on quantum entanglement and phase transitions at the boundary of quantum and classical physics. The $584,000 award, with a performance period from July 1, 2025 to June 30, 2029, will enable the University of California, San Diego (UCSD) to utilize a combination of analytical tools and numerical simulations to explore these...
This National Science Foundation (NSF) Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) will provide $295,000 to the University of California, San Diego (UCSD) from August 1, 2024 to July 31, 2027. The grant will support research focused on developing a broad theoretical framework and general scaling limit theory for high-dimensional stochastic differential equations. The research aims to advance the understanding of how the behavior of systems described by...
This $270,000 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research in geometric representation theory and symplectic geometry at the University of California, Berkeley. The research aims to develop new tools and solve open problems in these mathematical fields, which draw inspiration from theoretical physics. Key research themes include investigating the cocenter of the affine Hecke category,...
This Project Grant award of $302,028.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) supports fundamental research on nonlinear hyperbolic and dispersive partial differential equations (PDEs). The award aims to deepen the understanding of these PDEs, which are critical for describing natural phenomena across scales, by investigating long-term dynamics, singularity formation, and the stability of special solutions. Key...
This $120,000 Project Grant award, provided by the National Science Foundation (NSF) under the CFDA program 47.049 Mathematical and Physical Sciences, supports fundamental research on gravitational astrophysics and computational methods to advance scientific understanding of neutron stars, black holes, gravitational waves, and the large-scale structure of the universe. The award will fund a series of research projects at the University of California, San Diego (UCSD) focused on developing new...
This $285,100 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports a research project on invariant analysis in several complex variables, CR and complex geometry at the University of California, San Diego (UCSD). The principal investigator will study geometric and analytic aspects of invariant metrics and their potentials in complex analytic spaces, as well as related invariants in CR structures. Key research areas...
This federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research in differential equations and the geometry of manifolds. The award, totaling $223,343, will fund the principal investigator's work in three main areas: classification of gravitational instantons in 4 dimensions, understanding Gromov-Hausdorff limits of Einstein metrics in the collapsing case, and the study of higher-dimensional...
This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research on the geometry of mapping class groups and surface bundles, as well as related educational initiatives. The $117,892 award to the Regents of the University of California at Riverside, effective July 1, 2025 through June 30, 2030, aims to develop combinatorial techniques for studying the geometry of mapping class groups and Teichmüller spaces,...
The University of California, San Diego was awarded a $167,377 project grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support research into Sobolev spaces of differential forms on smooth and Lipschitz manifolds with applications to finite element exterior calculus. Key activities include developing a more complete mathematical understanding of properties of certain...
The National Science Foundation (NSF) awarded a $299,834 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) Federal Grant Program to the University of Washington. This grant supports research exploring probabilistic and deterministic aspects of self-similar geometry, including topics such as conformally self-similar structures in complex dynamics and Schramm-Loewner evolution. The project aims to advance foundational knowledge in this area, with a focus on regularity...