Project Grant 2603282
- The National Science Foundation Division of Mathematical Sciences awarded the University of California Irvine $288,563 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research into Ricci flow, Ricci solitons, and geometric evolution of curved spaces. The recipient will study fundamental questions in Ricci flow and singularity formation, with emphasis on understanding geometric models that arise near singularities—particularly those with...
- This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $206,442 to support fundamental research into geometric structures incorporating torsion, with potential applications in mathematics and physics. Funded under the Mathematical and Physical Sciences program (CFDA 47.049), the award to the University of California Irvine from August 15, 2022 through July 31, 2025 will aid in uncovering geometric and analytic aspects of generalized Ricci curvature,...
- Federal Project Grant Award Summary The National Science Foundation's Division of Mathematical Sciences awarded a $199,999 Project Grant to the University of California, Irvine, effective September 1, 2025, through August 31, 2028, under the Mathematical and Physical Sciences (CFDA 47.049) program. The award supports fundamental research on Ricci flow and Ricci solitons, mathematical processes that model geometric evolution similar to heat diffusion across surfaces. The principal investigator...
- 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 Division of Mathematical Sciences awarded the University of California Irvine $299,999 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct theoretical research on discrete approximation, analyzing functions of many yes/no variables and their continuous analogues in discrete and Gaussian spaces. The project investigates how much information is required to learn low-complexity functions, how well complicated functions...
- 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 $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 Division of Mathematical Sciences awarded the University of California, Santa Cruz $210,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049). The award funds research on symplectic dynamics in higher dimensions and Floer theory, focusing on the study of periodic orbits and topological entropy in Hamiltonian dynamical systems. The research will develop new methods incorporating topological data analysis to extract...
- Federal Project Grant Award Summary The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $300,000 project grant to the University of California, Irvine effective July 1, 2025, through June 30, 2028, under the Mathematical and Physical Sciences program (CFDA 47.049). This award supports fundamental mathematical research organized around two complementary research streams: higher Lie theory and resolvent problems. The principal investigator will develop new theoretical...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $141,490 Project Grant to the University of California, Santa Cruz (UCSC) under the Mathematical and Physical Sciences program (CFDA 47.049). The project seeks to study the geometry and topology of spaces with Ricci curvature bounded below, including both smooth manifolds and singular spaces. Key focus areas include investigating the fundamental groups of complete and non-compact manifolds with non-negative Ricci...
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. Specific research objectives include establishing an extension of Gromov-Ruh's almost flat manifolds theorem, extending the Calabi-Yau theorem to more general settings in complex geometry, developing analysis of the physical Hull-Strominger system, and developing existence and uniqueness theory for geometric structures on hyperbolic three-manifolds that extends the Mostow rigidity theorem. The work will reveal structural links between subjects touched by Ricci curvature and develop broadly applicable insights into analysis, partial differential equations, differential and complex geometry, mathematical physics, and topology. The award also supports training of personnel in cutting-edge geometric ideas and methods. Performance occurs in Irvine, California over the period September 1, 2026, through August 31, 2028. No sub-awards are planned.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $100.0k | 8/4/26 |