Project Grant 2604326
- 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...
- 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 (NSF) Division of Mathematical Sciences awarded a $399,998 Project Grant to the Massachusetts Institute of Technology (MIT) under the Mathematical and Physical Sciences program (CFDA 47.049) to fund research on singularities and rigidity in geometric evolution equations. The research focuses on geometric flows, which model the evolution of geometric objects like functions, surfaces, or Riemannian metrics over time using nonlinear generalizations of the classical...
- The National Science Foundation Division of Mathematical Sciences awarded the University of California, San Diego $106,398 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate higher multiplicity singularities in geometric variational problems. The project will establish foundational regularity theories for singularities arising in three geometric variational problems: minimal surfaces, the two-phase free boundary problem, and mean curvature...
- 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 Regents of the University of California, doing business as University of California, Berkeley, $300,000 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate strongly nonlinear dispersive flows and develop mathematical methods governing wave motion and interaction in complex environments. The project addresses fundamental mathematical principles underlying water waves in...
- Grant Award Summary The National Science Foundation (NSF) Division of Mathematical Sciences awarded a Project Grant totaling $199,056 to Columbia University for research on "Nonlinear Geometric Flows: Singularity Analysis, Ancient Solutions and Regularity" under the Mathematical and Physical Sciences (CFDA 47.049) program. The award, effective September 1, 2025, through August 31, 2028, supports fundamental mathematical research investigating singularity formation in partial...
- 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, Berkeley $100,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop and apply the iterated true-stage method and topological game meta-theorem—tools from computable structure theory—to advance results in descriptive set theory. Both tools enable construction of continuous functions using information that lies high in the Borel hierarchy, bridging...
- The National Science Foundation Division of Mathematical Sciences awarded $145,000 to The Regents of the University of California, doing business as University of California, Berkeley, on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049). The project investigates edge phenomena in two-dimensional random systems, focusing on how large random systems organize themselves and exhibit universal behavior across seemingly unrelated mathematical structures. Research...
The National Science Foundation Division of Mathematical Sciences awarded $100,000 to The Regents of the University of California, doing business as University of California, Berkeley, on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049). The project studies singularity formation and resolution in two central geometric flows: Ricci flow, which evolves the geometry of a space, and mean curvature flow, which evolves surfaces. Research activities include constructing special self-similar solutions called expanding solitons to smooth cone-shaped singularities on new topologies, studying ancient asymptotically cylindrical Ricci flows that model cylindrical singularities, and developing high-order asymptotic descriptions of these solutions in higher dimensions. The investigator will also mentor students, complete a mathematical textbook, and develop educational materials and assessment practices for foundational mathematics, including work addressing the growing use of artificial intelligence tools. Work is performed at Berkeley, California. The award runs through August 31, 2027.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $100.0k | 8/6/26 |