Yale University was awarded a $400,237 project grant from the National Science Foundation to support research related to spectral theory and nonlinear waves from June 2021 through May 2024. The grant was awarded under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these scientific fields and strengthen the national scientific enterprise. Through this funding, Yale researchers will conduct work advancing understanding of major problems in...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $189,955 Project Grant to the University of Connecticut (UConn) to support research on nonlinear models and layer solutions in continuum mechanics and materials science. The award, funded under NSF's Mathematical and Physical Sciences program (CFDA 47.049), will enable UConn researchers to study nonlinear models for smectic A liquid crystals and the symmetry properties of layer solutions to thin film equations....
This $299,877 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research at Yale University across two major areas. In the first part, the Principal Investigator (PI) aims to prove new formulas for solutions to an equation describing the geometry and curvature of space-time, first studied by Einstein. The second part focuses on studying two-dimensional systems with scale invariance, which the PI will analyze by...
This $224,621 Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program supports research on nonlinear waves and solitons in integrable and non-integrable systems. The principal investigator and their team at The Research Foundation for the State University of New York (RF SUNY), Sponsored Projects Services, will conduct an in-depth investigation into the mathematical properties and physical applications of nonlinear...
The National Science Foundation Division of Mathematical Sciences awarded Yale University $313,633 under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) for the project "Homogenization Methods in Statistical Physics" from July 1, 2021 to June 30, 2024. Yale University will utilize the $313K in funding over the three year period to advance understanding of major problems confronting the nation through research promoting progress in mathematical and physical...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $160,000 Project Grant to The Regents of the University of Colorado (doing business as the University of Colorado) under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports fundamental research into nonlinear wave propagation, focused on enhancing scientific understanding of large amplitude waves and associated wave energy transfer dynamics. This work has potential applications for...
This $330,000 federal Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) supports research and education activities at Yale University aimed at developing a fundamental understanding of quantum phases of matter. The key products and services to be delivered under this 3-year award include: Systematic development of a theory for new types of non-local observables, called "disorder operators", that can probe the fluctuations of...
This $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research aimed at advancing the mathematical analysis of nonlinear partial differential equations. The research has three main focus areas: (1) studying fluid dynamics problems with free boundaries, such as water waves, tsunamis, and hurricanes; (2) investigating the dynamics of gases and plasmas under physical kinetic boundary conditions,...
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...
This $315,000 National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program award supports research, education, and outreach activities focused on understanding many-body effects in nonperturbative high harmonic generation in solids. The project aims to develop and apply new computational methods to study high harmonic generation in low-dimensional solid materials, with a focus on understanding signatures of topology, spin, polarization, and exciton effects. The...