Project Grant 2554635
- Federal Project Grant Award Summary The University of California, San Diego received a $285,100 project grant from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049) awarded July 1, 2025, with a completion date of June 30, 2028. This mathematics research project focuses on invariant analysis in several complex variables, CR (Cauchy-Riemann) geometry, and complex geometry. The principal investigator will conduct theoretical research investigating geometric and...
- Federal Grant Award Summary The National Science Foundation's Division of Mathematical Sciences awarded a $333,837 Project Grant to the University of California, San Diego, effective August 1, 2025, through July 31, 2028, under the Mathematical and Physical Sciences (CFDA 47.049) program. This award supports fundamental research in von Neumann algebras—collections of infinite matrices used in quantum mechanics—with the objective of advancing rigidity classification theory and expanding...
- Federal Grant Award Summary The National Science Foundation's Division of Mathematical Sciences awarded $150,000 to the University of California, San Diego under the Mathematical and Physical Sciences program (CFDA 47.049) on July 15, 2025, for a three-year project extending through June 30, 2028. This project grant supports fundamental research in random conformal geometry and its applications to bosonic string theory, specifically investigating Schramm-Loewner Evolution (SLE) and Liouville...
- Federal Project Grant Award Summary Award Overview The National Science Foundation's Division of Mathematical Sciences awarded a $181,124 project grant to the University of California, San Diego, effective July 1, 2025, through May 31, 2026, under the Mathematical and Physical Sciences (CFDA 47.049) program. This award supports fundamental research and algorithmic development in large-scale stochastic optimization, with applications across signal processing, imaging, artificial intelligence, and...
- Federal Project Grant Summary The National Science Foundation's Division of Mathematical Sciences awarded $270,000 to the University of California, Davis on July 15, 2025, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research in inference for geometric and topological data analysis. The three-year project, extending through June 30, 2028, will develop theoretical frameworks and methodologies that bridge geometric and topological data analysis with statistics...
- Federal Grant Award Summary The National Science Foundation's Division of Mathematical Sciences awarded a $300,000 Project Grant to the University of California, Los Angeles, under the Mathematical and Physical Sciences program (CFDA 47.049) on July 15, 2025, with a completion date of June 30, 2028. This award funds research on dynamic free boundary problems, which are mathematical investigations of interface motions arising from physical phenomena such as water freezing, droplet wetting on...
- Federal Grant Award Summary The National Science Foundation's Division of Mathematical Sciences awarded a $300,000 project grant to the University of California, Irvine on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049). The award supports fundamental research in discrete approximation theory with applications to modern data science, quantum computation, and high-dimensional probability. The principal investigator will develop a unified analytical program...
- 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...
- Federal Grant Award Summary The National Science Foundation (NSF) Division of Mathematical Sciences awarded the University of Wisconsin-Madison a $296,600 Project Grant (CFDA 47.049: Mathematical and Physical Sciences) effective September 1, 2025 through August 31, 2028 to advance theoretical research in several complex variables. The project delivers fundamental mathematical research contributions focused on geometric problems in complex analysis, including investigations of Gromov...
- Federal Grant Award Summary The National Science Foundation (NSF) Division of Mathematical Sciences awarded the University of Massachusetts $100,000 under the Mathematical and Physical Sciences (CFDA 47.049) program for a two-year project grant effective September 1, 2025 through August 31, 2027. This project delivers fundamental research and educational products in low-dimensional topology and geometry, with particular focus on advancing understanding of four-dimensional manifolds equipped with...
The National Science Foundation's Division of Mathematical Sciences (CFDA 47.049, Mathematical and Physical Sciences) awarded a $300,000 project grant to the University of California, San Diego, effective July 1, 2026, through June 30, 2029. This award supports fundamental research in complex analysis, specifically investigating the geometric and analytic properties of the Bergman metric and the rigidity of holomorphic mappings. The research integrates techniques from partial differential equations, differential geometry, algebra, and complex analysis to advance understanding of several complex variables. The project encompasses three primary research directions: geometric and algebraic aspects of the Bergman metric and kernel; Bergman logarithmic flatness and obstruction flatness; and rigidity problems in several complex variables. Beyond core research deliverables, the award emphasizes substantial broader impacts through mentoring, seminars, and research collaboration activities designed to provide graduate students and postdoctoral researchers with accessible training opportunities. The proposed work is expected to develop innovative methods for studying interior geometry and boundary structure of complex manifolds and will enhance understanding of rigidity phenomena for holomorphic and CR (Cauchy-Riemann) mappings. The research demonstrates significant interactions with related mathematical disciplines including algebraic geometry, complex geometry, dynamical systems, and mathematical physics. No subawards are planned for this project.Federal Project Grant Award Summary
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $300.0k | 6/2/26 |