Project Grant 2553445
- This National Science Foundation (NSF) Division of Mathematical Sciences Project Grant award to Brown University, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $180,000 in funding from August 15, 2023 to July 31, 2026. The award supports fundamental research on random functions and stochastic processes on random graphs, including the analysis of roots of polynomials with random coefficients. The project also focuses on studying the...
- The National Science Foundation Division of Mathematical Sciences awarded Brown University $300,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to advance rigorous computational methods for solving long-standing problems in partial differential equations and mathematical analysis. The project develops and validates computer-assisted proofs and artificial intelligence as trustworthy tools for scientific discovery, combining interval arithmetic,...
- Brown University received a three-year $365,000 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will fund research into rare events and fluctuations in high-dimensional stochastic systems. Brown University researchers will study three classes of stochastic systems: large collections of interacting diffusions; high-dimensional measures such as random matrix ensembles;...
- Federal Project Grant Award Summary Brown University received a $300,000 project grant from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective August 1, 2025, through July 31, 2028. This collaborative research project advances fundamental understanding of nonlinear dynamics in dispersive partial differential equations (PDEs)—mathematical models that describe wave phenomena across optics, fluid...
- Federal Project Grant Award Summary Brown University received a $338,955 Project Grant from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) program, effective September 1, 2025, through August 31, 2028. This collaborative research initiative focuses on advancing harmonic analysis in non-homogeneous environments, specifically addressing singular integral operators—complex mathematical tools essential for...
- Federal Grant Award Summary Brown University received a $535,314 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective August 1, 2025, through July 31, 2028. This award supports fundamental research in asymptotic problems of kinetic and dispersive equations, with a primary focus on advancing mathematical analysis of plasma physics and rotating fluids. The project investigates the...
- Brown University was awarded a $331,275 Project Grant from the National Science Foundation Division of Mathematical Sciences on September 1, 2021, with a completion date of July 31, 2023. The award is part of the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise. Under this award, Brown University will research the existence and regularity of solutions to variational problems in...
- The National Science Foundation Division of Mathematical Sciences awarded Brown University $199,999 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research in combinatorics of Hecke algebras and crystal skeletons. The project uses representation theory and machine learning techniques to study quantum deformations in combinatorics and probability theory. Specific research objectives include developing the combinatorics of the Hecke algebra center,...
- Brown University was awarded a $277,225 project grant from the National Science Foundation Division of Mathematical Sciences on August 1, 2021 to complete work by July 31, 2024. The grant falls under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to strengthen the nation's scientific enterprise through advancing knowledge and understanding of major problems. Specifically, Brown University will conduct research relating to renormalization group flows, embedding theorems,...
- The National Science Foundation Division of Mathematical Sciences awarded Brown University $270,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research on minimal surfaces and harmonic maps into singular targets. The project investigates regularity and rigidity questions for harmonic maps and minimal surfaces—geometric objects that minimize energy or area under prescribed constraints. Research focuses on harmonic maps from...
The National Science Foundation Division of Mathematical Sciences awarded Brown University $489,060 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop foundational theory for interacting particle systems on sparse random graphs. The research will establish concentration bounds and long-time behavior analysis for interacting particle systems using tools from stochastic analysis, random graph theory, and percolation, with the aim of producing tractable, rigorously justified approximations. While mean-field theory adequately describes systems on complete and dense graphs, processes on sparse graphs remain poorly understood; this project addresses that gap and will develop new analytical techniques in the process. The award runs through July 31, 2029, with performance at Brown University's Providence, Rhode Island campus. The project integrates a strong educational component with vertically integrated mentoring of postdoctoral fellows, graduate and undergraduate students, and support for junior researchers. The principal investigator maintains active involvement in mathematics outreach, including the Math Coop, and will continue disseminating work through lectures, courses, publications, and conference organization.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $489.1k | 7/21/26 |