Project Grant 2554137
- The National Science Foundation Division of Mathematical Sciences awarded Iowa State University of Science and Technology $150,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) for collaborative research extending flag algebra and semidefinite programming methods in extremal combinatorics. The research advances Razborov's flag algebra framework by developing new techniques to solve longstanding open problems in graphs, hypergraphs, permutations,...
- The National Science Foundation Division of Mathematical Sciences awarded New Mexico State University $192,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop new equivariant homotopy theoretic tools for studying symmetries in geometric shapes through algebraic topology. The project expands the framework of Eulerian sequences—introduced under prior NSF support (DMS-2305016)—to construct equivariant Araki-Kudo-Dyer-Lashof operations on the...
- The National Science Foundation Division of Mathematical Sciences awarded North Carolina State University a $270,000 project grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to support research titled "COXETER GROUPS, SCATTERING DIAGRAMS, AND SHARDS" from August 15, 2021 through July 31, 2024. The grant funding will allow researchers at North Carolina State University to advance understanding of major problems in mathematics through projects...
- Federal Project Grant Award Summary North Carolina State University received a $165,000 Project Grant from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049) beginning August 1, 2025 and concluding July 31, 2028. The award supports fundamental research into algebraic invariants of matroids—combinatorial objects that model independence concepts across graph theory, linear algebra, and field extensions. The research program aims to provide simplified and more general...
- Federal Project Grant Award Summary North Carolina State University received a $119,093 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) effective September 1, 2025, through August 31, 2027. The award supports fundamental research in commutative algebra and algebraic geometry with applications to combinatorics and singularity theory. The principal investigator will develop new...
- The National Science Foundation awarded Northwestern University a $355,745 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) from June 1, 2021 through May 31, 2024. The grant funds research on combinatorial and algebraic structures in dynamics, advancing the program's goal of strengthening the nation's scientific enterprise through increased understanding of major problems. The university will utilize the three-year funding period to investigate major open...
- 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...
- This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $210,000 to Brandeis University under the Mathematical and Physical Sciences program (CFDA 47.049) from June 1, 2022 to May 31, 2025. The funding supports research in the field of combinatorics, which analyzes discrete data structures and is a central tool for solving problems in mathematics, computer science, and physics. Specific projects include unifying bijections between planar maps and...
- The National Science Foundation Division of Mathematical Sciences awarded North Carolina State University a $408,832 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will fund research into Lagrangian mechanics and low-dimensional topology from July 2021 through June 2024. As part of the Mathematical and Physical Sciences program's goal of strengthening the nation's scientific enterprise through advances in mathematics and physics, this...
- The National Science Foundation Division of Mathematical Sciences awarded Montana State University $195,993 on September 1, 2026, for collaborative research developing factorization homology, a mathematical construction that integrates complicated objects over three-dimensional space with applications to knot theory, topological quantum field theory, and representation theory. The project, funded under the Mathematical and Physical Sciences program (CFDA 47.049), advances the theory of...
The National Science Foundation Division of Mathematical Sciences awarded North Dakota State University $200,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research in dynamical algebraic combinatorics and webs through July 31, 2029. The research extends recent work on rotation-invariant SL4-web bases—a discovery sought for nearly 30 years—toward developing an SL5-web basis with applications to arbitrary-rank solutions. The project encompasses three primary research directions: building on the SL4 foundation to advance higher-rank webs; studying promotion and rowmotion, fundamental actions in dynamical algebraic combinatorics, on more general objects and lattices; and constructing explicit bijections between alternating sign matrices and totally symmetric self-complementary plane partitions by interpreting these objects as pipe dreams and webs. The work also includes mentoring students and early-career researchers and K-12 outreach. Performance takes place in Fargo, North Dakota. This is a project grant (an assistance type providing direct support for a specific research activity) in fundamental mathematics research. The funding supports the principal investigator and research team's investigation of combinatorial objects with enumerative properties and their underlying algebraic and dynamical structures.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 8/7/26 |