This National Science Foundation Project Grant of $219,896 will fund research into pattern formation in singularly perturbed partial differential equations under the Mathematical and Physical Sciences program (CFDA 47.049). The University of California Irvine will investigate spatiotemporal pattern formation mechanisms in reaction-diffusion systems arising in biology, ecology, and chemistry. Key research areas include pattern-forming instabilities at bistable interfaces, temporal pulse...
The National Science Foundation Division of Mathematical Sciences awarded a $498,448 project grant to the University of California Irvine under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The three-year award, made on July 1, 2021 and concluding on June 30, 2024, will support the University's "Differential Equations and the Geometry of Manifolds" project. As part of the Mathematical and Physical Sciences program's goal of strengthening the nation's...
The National Science Foundation awarded a $566,385 Project Grant to the University of California Irvine under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will fund collaborative research on non-perturbative analysis for multi-dimensional quasiperiodic systems from July 1, 2021 to June 30, 2024. The Mathematical and Physical Sciences program aims to advance scientific knowledge and understanding in core areas of mathematics and physics. This award will support research...
The University of California Irvine was awarded a $389,999 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 computational methods for learning and generating stochastic particle representations of mathematical models in physics and biology. Specifically, the university will develop a new class of computational tools integrating particle...
The University of California Irvine received a $273,133 Project Grant award from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The award will support collaborative research between three institutions from July 2023 through June 2026 to develop computational models of complex interface dynamics in reactive fluids driven from equilibrium. Researchers will derive thermodynamically consistent...
The University of California Irvine will use this $640,000 Project Grant award from the National Science Foundation to conduct computational studies of frustrated and doped systems from September 1, 2021 through August 31, 2024. The grant was awarded under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which supports research aimed at increasing understanding of major problems in these fields. Specifically, the university will leverage density matrix renormalization group...
The University of California Irvine was awarded a $389,764 Project Grant from the National Science Foundation Division of Mathematical Sciences. The grant falls under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise. The grant will fund research into model theory, quantum complexity, and embedding problems in operator algebras from July 1, 2021 to June 30, 2024. The University will...
The University of California Irvine received a $253,482 Project Grant award from the National Science Foundation Division of Mathematical Sciences on July 1, 2021 to complete work by June 30, 2024. The grant supports research titled "Mathematics of Revealing Inaccessible Objects Using Linear and Nonlinear Waves" under the Mathematical and Physical Sciences program (CFDA 47.049). This award will fund research using mathematical and physical modeling techniques over a three-year period...
This $246,525 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will support fundamental research at the University of California, Irvine (UC Irvine) in the areas of spectral theory, several complex variables, and the geometry of Laplacian eigenfunctions. The key research objectives include investigations into the inverse spectral problem, the structure of Laplacian eigenfunctions, and the asymptotic behavior of Bergman...
The National Science Foundation (NSF) awarded a $369,218 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of California, San Diego (UCSD) to develop analytical methods for approximating the state of certain dynamical systems. The project aims to advance the understanding of quantitative aspects of the analysis of dynamical systems, with a focus on rigidity phenomena in the dynamics of group actions on structured spaces. Key research areas include...