Project Grant 2521270
- This federal Project Grant award of $117,892 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on the geometry of mapping class groups and surface bundles, which are fundamental concepts in mathematics. The research project, conducted by the Regents of the University of California at Riverside, aims to develop combinatorial techniques for studying the geometry of these mathematical objects. Additionally, the educational...
- This $150,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on two open problems in algebraic combinatorics that intersect representation theory and algebraic geometry. The principal investigator and collaborators aim to use combinatorics to better understand these abstract mathematical objects in a more concrete way, with potential applications in mathematics, physics, and human-machine...
- This Project Grant award, valued at $180,000.00, was provided by the National Science Foundation (NSF) through its Mathematical and Physical Sciences program (CFDA 47.049) to the University of California, Davis. The grant will support research aimed at better understanding the combinatorics of amplituhedra and related mathematical objects called cluster varieties. The principal investigator will work with collaborators to resolve conjectures on the relationship between tilings of amplituhedra...
- This Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $205,601 to the University of Massachusetts for research related to enumerative, algebraic, and asymptotic combinatorics with connections to representation theory and geometry. Specifically, the award supports three research projects that will study problems in graph colorings, Schubert polynomials, and integer flows on graphs...
- This $199,786.00 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research in combinatorial representation theory by Dartmouth College. The project aims to develop efficient computational algorithms that use combinatorial tools to analyze how algebraic representations can be combined, with potential applications in fields like computer vision, quantum physics, and fast matrix multiplication. Key objectives...
- This $270,000 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research in geometric representation theory and symplectic geometry at the University of California, Berkeley. The research aims to develop new tools and solve open problems in these mathematical fields, which draw inspiration from theoretical physics. Key research themes include investigating the cocenter of the affine Hecke category,...
- 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 University of California, San Diego was awarded a $218,577 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 support research in the field of combinatorial representation theory from July 2023 through June 2026. Specifically, the principal investigator and collaborators will study objects that remain invariant under certain linear symmetries, seeking to extend...
- The National Science Foundation awarded a $300,000 Project Grant to The Regents of the University of California for research titled "Combinatorics of Multivariate Orthogonal Polynomials" under the Mathematical and Physical Sciences program (CFDA 47.049). The three-year award running from July 1, 2021 to June 30, 2024 will support research into advancing the store of scientific knowledge and enhancing understanding of major problems in mathematics. Specifically, the University of...
- This National Science Foundation project grant of $740,162 will fund collaborative research on extremal combinatorics and flag algebras from August 2022 through July 2025. The awardee is the University of Colorado Denver under the Mathematical and Physical Sciences program (CFDA 47.049). The research aims to resolve three prominent open questions in extremal combinatorics posed by Erdös, Turán, and Zarankiewicz using flag algebra techniques. The questions concern extremal hypergraph...
This Project Grant award of $234,329 from the National Science Foundation (NSF)'s Mathematical and Physical Sciences program (CFDA 47.049) supports research and education activities at the University of California, Santa Cruz (UCSC). The key objectives of the research component are to advance the theory of combinatorial subvarieties of the flag variety, propose a notion of duality for Newton-Okounkov bodies, and study applications of generalized permutahedra to machine learning. The educational program aims to increase participation in mathematics by underrepresented groups, recruit talented students to STEM PhD programs, and disseminate modern research in combinatorics. The award period is from January 1, 2025 to June 30, 2027. This funding supports interdisciplinary projects with potential societal benefits, as well as activities to broaden the participation of underrepresented groups in mathematics.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $113.1k | 8/19/25 | ||
| Not listed | $121.2k | 5/22/25 |