Project Grant 2554084
- 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...
- The National Science Foundation Directorate for Mathematical and Physical Sciences awarded Brown University $270,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate relationships between smooth and discrete symmetries, specifically surface subgroups of lattices in semi-simple Lie groups. The research will classify surface subgroups of lattices aligned with a given SL_2(R) subgroup, beginning with reconciliation of multiple definitions of...
- The National Science Foundation awarded Brown University $102,758 on December 1, 2025, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research in arithmetic dynamical systems on projective varieties, a field that synthesizes number theory and dynamical systems. The project funds investigation into three primary research areas: canonical heights and fields of definition on abelian varieties, including development of quantitative lower bounds on average values of...
- 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,...
- The National Science Foundation Division of Mathematical Sciences awarded the President and Fellows of Harvard College $210,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on the interactions of combinatorics and physics. The award funds research addressing questions at the interface of combinatorics, algebra, and physics. In statistical physics, the project studies the relationship between the asymmetric simple exclusion process...
- This $210,000 Project Grant awarded by the National Science Foundation Division of Mathematical Sciences under the CFDA Program 47.049 "Mathematical and Physical Sciences" will fund research in algebraic combinatorics and braid varieties. The project aims to use algebraic methods to produce new combinatorial results with applications in areas like cryptography, protein folding, high-energy physics, and quantum computing. Specifically, the funds will support exploring the use of braid...
- 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 Northeastern University $230,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate quantum cluster algebras and monoidal categories. The recipient will conduct foundational research on noncommutative algebraic structures, specifically building canonical bases of quantum cluster algebras at roots of unity and studying their irreducible representations through connections to...
- Federal Grant Award Summary Brown University received a $200,000 Project Grant from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049 - Mathematical and Physical Sciences) effective July 15, 2025, through June 30, 2028. The award supports fundamental research in geometry and dynamical systems, with primary deliverables including mathematical proofs and theoretical advances in optimal paper geometry and geometric dynamics. Specifically, the Principal Investigator...
- This Project Grant award, valued at $250,000.00, was provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program to Brown University. The primary focus of this 3-year project is to conduct research in the areas of moduli theory and birational geometry within the field of algebraic geometry, which has important applications in coding, industrial control, computation, and theoretical physics. Key research activities include studying the...
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, building a Hecke analog of permutation factorization theory that generalizes the Harer-Zagier formula, analyzing Hecke deformations of Markov chains on the symmetric group, and finding decompositions of symmetric functions using crystal and crystal skeleton theory. The work exploits the interplay between symmetry decomposition and pattern discovery in data, with applications to understanding mathematical structures that govern physical systems and molecular behavior. The award supports research and conference travel for graduate students, building STEM workforce capacity. Performance occurs at Brown University's Providence, Rhode Island campus through July 31, 2029.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 7/31/26 |