Project Grant 2606949
- This $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research on inverse boundary value problems and related mathematical techniques. The key research areas include: Electrical impedance tomography (EIT) for determining the conductivity of materials by making voltage and current measurements at the boundary. The research will address challenges in EIT such as partial data, anisotropic...
- This $275,000 Project Grant awarded by the National Science Foundation's (NSF) Division of Mathematical Sciences supports the development of novel approaches to solving inverse problems. The goal is to enhance the accuracy and efficiency of computational methods used in critical applications like electrical impedance tomography, inverse scattering, and cryo-electron microscopy. This research has the potential to accelerate breakthroughs in molecular biology and rapid drug development, directly...
- This National Science Foundation (NSF) Division of Mathematical Sciences grant award to Drexel University provides $270,000 over three years to develop new data-driven inversion methods and image reconstruction algorithms for nonlinear media with applications in radar, medical imaging, and optical design. The key innovations include using data to generate compact wave propagation models for efficient image reconstruction, expanding the applicability to large and noisy data sets, and developing...
- The National Science Foundation Division of Mathematical Sciences awarded the University of California Irvine $209,660 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop mathematical and artificial intelligence methodologies for wave-based imaging technologies. The recipient will establish rigorous mathematical foundations for generative AI techniques applied to imaging and uncertainty quantification in infinite-dimensional settings. The work focuses...
- 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...
- 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...
- The National Science Foundation Division of Mathematical Sciences awarded the University of California Irvine $100,000 on September 1, 2026, for research in geometrization, torsion, and mathematical physics under the Mathematical and Physical Sciences program (CFDA 47.049). The award funds research addressing open questions in geometry and development of novel general-purpose tools in this area, with particular focus on Ricci curvature, Einstein metrics, and Ricci flow incorporating torsion....
- The National Science Foundation Division of Mathematical Sciences awarded the University of California, Los Angeles $200,000 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct mathematical research on interactions of Fourier restriction with fractal geometry and number theory. The investigator uses harmonic analysis tools to understand refined behavior of the Fourier transform under special geometric conditions relevant to applications including the...
- 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 National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences Program (CFDA 47.049) provides $270,000 in funding to the University of California, Santa Barbara (UCSB) from August 1, 2024 to July 31, 2027. The project aims to address theoretical and applied challenges in seismic tomography and transport theory. Key research activities include: Studying the uniqueness and stability of travel time tomography in anisotropic elasticity, as well as uncertainty...
The National Science Foundation Division of Mathematical Sciences awarded $200,000 to the University of California Santa Cruz on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop new mathematical tools for solving inverse problems in reconstructive integral geometry. The award supports research on complex-analytic and complex-geometric methods for X-ray transforms and related integral-geometric inverse problems, with application to medical imaging technologies such as computerized tomography scanners, geophysical imaging methods for natural-resource exploration, and non-destructive testing of manufactured materials. The project will unify three distinct complex-analytic approaches that have separately produced reconstruction formulas over the past three decades, including the transport twistor space framework, to extend results from Euclidean to Riemannian and non-Euclidean geometries and to improve reconstruction precision in settings with non-uniform material properties. The award runs through July 31, 2028, with work performed in Santa Cruz, California. The project includes training of undergraduate, graduate, and postdoctoral researchers and development of publicly available lecture notes and numerical illustrations to disseminate advanced techniques in the field.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 8/6/26 |