Project Grant 2603324
- 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...
- The National Science Foundation (NSF), through its Mathematical and Physical Sciences (CFDA 47.049) federal grant program, awarded the University of California, San Diego (UCSD) a $240,000 Project Grant to study singularities and long-term dynamics in models of fluids and reactive processes. The 3-year project, running from August 2024 to July 2027, will focus on two main objectives: 1) Analyzing the creation of small-scale structures and singularities in fluid dynamics models, including for...
- 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 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...
- The National Science Foundation Directorate for Mathematical and Physical Sciences awarded the University of California, San Diego $300,000 on December 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop mathematical and computational approaches for inferring hidden molecular processes that control cell migration from limited experimental observations. The project combines mathematical modeling with experimental biology to reconstruct unobserved signaling and...
- The National Science Foundation Division of Mathematical Sciences awarded the University of California, San Diego $300,000 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct geometric analysis of the Bergman metric and rigidity of holomorphic mappings in several complex variables. The research integrates techniques from partial differential equations, algebra, differential geometry, and complex analysis to address three major directions: geometric...
- The National Science Foundation awarded a $250,573 Project Grant to the University of Notre Dame under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research into singular structures of minimal surfaces and higher dimensional minimal hypersurfaces. Specifically, the Principal Investigator will study the singular set geometry and behavior near singularities of minimal surfaces, as well as classify certain 8-dimensional minimal hypersurfaces in Euclidean space...
- This Project Grant award of $134,046 was obligated on September 1, 2025, through the Division of Mathematical Sciences (DMS) under the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049). The award funds theoretical research at UC San Diego focused on the classification and moduli spaces of higher dimensional algebraic varieties, with particular emphasis on degenerations of hypersurfaces and the singular varieties appearing within moduli spaces. The principal...
- 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 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, 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 flow. The investigator will estimate optimal dimension bounds for singular sets of stationary integral varifolds and branching sets of two-phase free boundary problems, and characterize the first singular time of mean curvature flows originating from smooth initial data. The research addresses mathematical challenges presented by singularities—sharp creases, crossing points, and pinch-offs—that develop in physical systems such as soap films, phase transitions, and surface evolution under surface tension. The project also integrates emerging artificial intelligence technologies into teaching and training tools for undergraduate students, graduate students, and postdoctoral fellows. Performance occurs in La Jolla, California through August 31, 2027.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $106.4k | 8/11/26 |