The University of California, Santa Barbara received a $280,000 Project Grant award from the National Science Foundation Division of Mathematical Sciences on August 15, 2021 to complete the project by July 31, 2024. The grant funds the "Bridging the Mathematical Analysis and Reconstruction Algorithms for Transmission and Reflection Seismic Tomography" project. This project aims to advance mathematical and algorithmic methods for seismic tomography, which is used to image the interior...
This three-year, $170,000 National Science Foundation Mathematical and Physical Sciences Project Grant will support research into new geometric inverse problems arising from seismology at North Carolina State University. The award seeks to advance the mathematical theory of seismology by posing and solving increasingly complex and realistic inverse problems modeling planetary interiors. Specifically, the grantee will investigate non-Riemannian travel time problems considering both complete and...
This $270,000 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research at the University of California, Irvine (UC Irvine) to develop novel mathematical methods for investigating inverse problems related to the recovery of anisotropic medium parameters from measurements taken at the exterior or boundary. The project aims to leverage nonlocality, nonlinearity, and high frequencies as tools to tackle significant and...
This $300,000 Project Grant, awarded by the National Science Foundation's (NSF) Division of Mathematical Sciences under the CFDA 47.049 Mathematical and Physical Sciences program, will fund research into inverse boundary value problems. The project aims to establish a deeper mathematical understanding of the inverse imaging technique called Electrical Impedance Tomography (EIT), which has applications in medical imaging and geophysics. It will also investigate determining the inner structure...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will support research focused on geometric inverse problems and dynamics. The $335,956 award to the University of Washington will center on the study of inverse problems involving transport-type partial differential equations, with applications in areas like X-ray computed tomography, geophysical prospection, and parameter identification for PDEs. The project will...
This National Science Foundation Project Grant of $315,519 supports research at the University of California, Los Angeles from July 2022 to June 2025 under the Mathematical and Physical Sciences program (CFDA 47.049). The award funds research investigating challenging problems in optimal transport theory and its applications in fields including partial differential equations, geometry, probability, and machine learning. Key areas of focus include developing the theory to analyze games with large...
This Project Grant award from the National Science Foundation's Geosciences Program (CFDA 47.050) provides $399,601.00 to the University of California, Santa Cruz to conduct a series of laboratory experiments that directly measure fault rupture dynamics and seismological observables. The goal is to develop a better understanding of earthquake rupture processes, including magnitude predictability, rupture velocity, and radiated energy. The project will foster an international collaboration with...
This National Science Foundation Project Grant award of $287,406 provides funding from July 1, 2022 through June 30, 2027 to support research at the University of California, Santa Barbara exploring optimal transport and dynamics in machine learning. The Principal Investigator will study the mathematical foundations of machine learning using tools from optimal transport and partial differential equations. Three main research projects will be conducted. The first will analyze nonlocal...
The University of California, Santa Barbara (UCSB) received a $181,166 Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award will fund fundamental research on the geometry and topology of Ricci limit spaces, and related problems in mathematical physics. The project aims to estimate the fundamental gap for various spaces, including hyperbolic domains and locally symmetric spaces, and study the...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) funds research focused on two main objectives: Studying singularities and long-time dynamics in mathematical models of fluid motions, including in porous media, atmospheric science, and at fluid boundaries. This involves developing theories of local well-posedness for these models. Investigating the large-scale behavior of reactive processes, such as the spread of forest...