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...
The National Science Foundation (NSF) awarded a 3-year, $118,501 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to Yale University to conduct research on geometric Langlands and automorphic functions. The project will study the arithmetic properties and connections between geometry, topology, and number theory, with a focus on developing new mathematical theories and methods. The award will provide research training opportunities for graduate students and result...
Yale University was awarded a $132,424 Project Grant from the National Science Foundation to support research titled "Geometric Flows and Applications" from July 1, 2021 to August 31, 2023. The grant was awarded under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise. Yale will utilize the funding over the two-year period to conduct research exploring geometric flows and...
Yale University was awarded a $299,993 project grant from the National Science Foundation Division of Mathematical Sciences on July 1, 2021 to develop measures of heterogeneity for complex data objects. The project directly supports the goals of the NSF's Mathematical and Physical Sciences program (CFDA 47.049) to promote progress in these fields and strengthen the nation's scientific enterprise through increased knowledge and understanding of major problems. Specifically, Yale researchers...
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 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) awarded a $149,265 Project Grant under its Mathematical and Physical Sciences (CFDA 47.049) program to Yale University. The grant, awarded on June 1, 2024 with a completion date of May 31, 2027, supports research focused on the mathematical foundations of nonlinear and disordered systems, with a specific emphasis on the study of solitons and their applications in quantum physics, chemistry, and materials science. The project aims to establish new...
Yale University was awarded a $400,000 project grant from the National Science Foundation to operate a Research Experiences for Undergraduates (REU) site in mathematical sciences from April 2021 through March 2024. As part of the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to strengthen the nation's scientific enterprise through increased knowledge and understanding of major problems, Yale will provide summer research experiences for undergraduates in...
Yale University was awarded a $370,000 Project Grant from the National Science Foundation Division of Mathematical Sciences. The grant is part of the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise. Under this three-year award beginning July 2021, Yale researchers will conduct work related to overparameterization and the global convergence of the Expectation-Maximization algorithm....
This Project Grant from the National Science Foundation Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $144,726 to support collaborative research in the area of symplectic geometry between Cornell University and other institutions. Specifically, the funding will advance knowledge and understanding of the relationship between the geometry of Hamiltonian systems and the combinatorics of momentum maps through investigations into the...