Project Grant 2607872
- The Research Foundation of The City University of New York, doing business as RFCUNY - Graduate Center, received a $262,000 Project Grant awarded August 1, 2025, through the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). This collaborative research initiative focuses on developing advanced mathematical techniques for spectral analysis of limiting operators in higher dimensions, with particular emphasis on...
- The National Science Foundation Division of Mathematical Sciences awarded the Research Foundation of The City University of New York $111,379 on December 1, 2025, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop tools and techniques for solving nonlinear partial differential equations in complex geometry, specifically to advance understanding of canonical metrics on complex manifolds through study of the complex Monge-Ampere equation and constant scalar curvature...
- Federal Project Grant Award Summary The National Science Foundation's Division of Mathematical Sciences (Mathematical and Physical Sciences program, CFDA 47.049) awarded $150,000 to the Research Foundation of The City University of New York on September 1, 2025, for a three-year project extending through August 31, 2028. The project focuses on developing mathematical techniques and algorithms to identify hidden or unknown model components in nonlinear differential equations when working with...
- The National Science Foundation awarded the Research Foundation of The City University of New York $117,892 on November 1, 2025, to support research on the geometry of mapping class groups and surface bundles under the Mathematical and Physical Sciences program (CFDA 47.049). The research develops combinatorial techniques for studying the geometry of mapping class groups and Teichmüller spaces—mathematical structures that describe how surfaces can twist and deform. The project runs through...
- This two-year, $238,904 project grant from the National Science Foundation's Mathematical and Physical Sciences program aims to advance understanding of parameter estimation for hydrodynamic equations. Specifically, the Research Foundation of the City University of New York will carry out mathematical analysis and computational study of a data-driven dynamical algorithm to accurately estimate unknown parameters arising in partial differential equations of hydrodynamics. This will be done via a...
- The National Science Foundation Division of Mathematical Sciences awarded $200,000 to The Research Foundation For The State University Of New York on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop data-driven nonlinear model reduction methods for high-dimensional, multiscale stochastic dynamical systems. The project will create mathematical and computational tools that learn compact, accurate models of long-term behavior from short bursts of...
- The National Science Foundation Division of Mathematical Sciences awarded New York University $163,189 on January 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop connections between analytic number theory and other areas of mathematics, specifically dynamics and probability theory. The research explores how deterministic processes randomize when sampled at regularly spaced intervals (the integers), and applies techniques from probability and mathematical...
- The National Science Foundation Division of Mathematical Sciences awarded The Research Foundation for the State University of New York $219,478 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop efficient, high-order accurate numerical schemes for computing the long-term statistical behavior of chaotic complex systems. The project addresses the computational challenge of predicting statistical patterns in systems where precise long-term trajectories...
- The National Science Foundation Division of Mathematical Sciences awarded $166,327 to The Research Foundation For The State University Of New York, operating as Farmingdale State College, on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049). The award supports development of numerical algorithms and computational models for fluid-porous flow systems in which fluid partly flows freely and partly filters through a porous medium. The research addresses...
- The National Science Foundation Division of Mathematical Sciences awarded New York University $145,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research on random planar maps and their scaling limits. The project will establish scaling limit results for random planar maps and study the limiting random surfaces known as Liouville quantum gravity surfaces. The research encompasses related topics including Schramm-Loewner evolutions (random...
The National Science Foundation Division of Mathematical Sciences awarded the Research Foundation of the City University of New York $215,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop a rigorous optimization framework for high-resolution parameter estimation on the continuum. The project addresses the challenge of recovering accurate parametric information from incomplete or noisy measurements by establishing mathematical foundations for optimization methods that reliably locate global minima while avoiding spurious solutions. The research constructs objective functions with provably favorable geometric properties, seeking to establish conditions under which informative minima lie close to true parameters, possess large basins of attraction, and remain locatable through local optimization methods, while spurious minima remain shallow and avoidable. A unified theoretical framework will be developed around an underlying correlation kernel governing these geometric properties. The framework will be analyzed and validated through three representative applications: wave-based imaging, sparse decompositions, and reconstruction from noisy random rotations. The project will also support graduate student research experiences and seminars while releasing software freely to advance reproducible research. Performance occurs in New York, New York, with a period of performance from September 1, 2026, through August 31, 2029. This assistance is classified as a Project Grant.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $215.0k | 7/28/26 |