Project Grant N000142112384

This National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) Project Grant award to the Regents of the University of Michigan, through its Office of Research and Sponsored Projects, provides $250,000 in funding from September 1, 2024 to August 31, 2027. The award supports research to develop new theoretical tools and algorithm design techniques for the emerging area of operator learning - the use of statistical machine learning to find fast approximations for solving...

This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $149,999 to support the development of new algorithms for ensemble data assimilation in large-scale applications that do not rely on Gaussian approximations. Funded under the Mathematical and Physical Sciences program (CFDA 47.049), the award will be carried out from August 1, 2022 to July 31, 2025 by researchers at the University of Colorado Boulder. The project aims to advance data assimilation...

The National Science Foundation (NSF) awarded a 5-year, $241,397 Project Grant through its Mathematical and Physical Sciences (MPS) program to the University of California, Santa Barbara (UCSB) for the project "SOLVING ESTIMATION PROBLEMS OF NETWORKED INTERACTING DYNAMICAL SYSTEMS VIA EXPLOITING LOW DIMENSIONAL STRUCTURES: MATHEMATICAL FOUNDATIONS, ALGORITHMS AND APPLICATIONS". The project aims to develop a theoretical and computational framework for efficiently estimating complex...

The University of Florida was awarded a three-year, $362,398 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) to explore interactions between operator theory and noncommutative function theory. The award will support research into applying techniques from operator theory, functional analysis, and complex analysis to study the interrelation between function theory and operator theory. The grantee will employ a blend of methods...

This $117,843 federal Project Grant award from the National Science Foundation's Computer and Information Science and Engineering program (CFDA 47.070) will support research at Yale University aimed at developing a rigorous, general theory for translating continuous-time dynamical systems into discrete-time algorithms. The goal is to create a systematic approach for deriving algorithms from dynamical systems models that can preserve key properties like convergence guarantees, with a focus on...

This three-year National Science Foundation project grant of $174,703 supports research at Brigham Young University to develop new data assimilation techniques for turbulent fluid flow modeling and prediction. The award is made through the Mathematical and Physical Sciences program, which aims to strengthen the nation's scientific enterprise through increased mathematical and physical sciences knowledge and understanding of major national challenges. Specifically, the university researchers will...

The National Science Foundation (NSF) Division of Mathematical Sciences awarded a 3-year, $247,807 Project Grant to the University of Iowa to advance research in multivariable operator theory. This work under the NSF Mathematical and Physical Sciences program (CFDA 47.049) aims to develop new models and methods for representing complex phenomena as mathematical operators, with applications in areas such as functional analysis, quantum mechanics, and engineering. Key focus areas include solving...

The National Science Foundation (NSF), under its Mathematical and Physical Sciences program (CFDA 47.049), awarded a $213,770 Project Grant to The Regents of the University of Colorado, doing business as the University of Colorado Office of Contracts and Grants Division. The 3-year grant supports research by the principal investigator to study invariants of minimal and hyperbolic dynamical systems using abstract operator algebras and K-theory. Key projects include investigating the Elliott...

This three-year project grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program provides $299,292 to the University of Wisconsin-Madison to support research into complex methods in spectral and scattering problems. Specifically, the award will fund investigations into the non-linear Fourier transform and its relationship to scattering theory for Dirac systems of differential equations, which model spin-1/2 particles. Researchers will study questions of...

This Project Grant award from the National Science Foundation (NSF) Division of Mathematical Sciences supports research on the theory of dynamical systems and conformal dynamical systems. The award, totaling $262,205 over 3 years starting on August 1, 2024, will fund work to address longstanding conjectures and open new research directions in this field. The project will leverage tools from complex analysis, hyperbolic geometry, and arithmetic geometry to study moduli spaces of one-dimensional...