Project Grant 2452015
- This $300,000 Project Grant from the National Science Foundation Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), will support further research into the algebra, geometry, and combinatorics of matroids at Georgia Tech Research Corporation from October 1, 2022 to September 30, 2025. The Principal Investigator and collaborators will prove new results about matroid representations, including representations of 3-connected matroids and quaternary...
- This Project Grant from the National Science Foundation's Division of Mathematical Sciences provides $194,999 to support collaborative research at Princeton University from June 2022 to June 2024. The funding falls under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to advance scientific knowledge and understanding in these fields. Specifically, the award will bring together researchers to address open problems at the intersection of matroids, graphs, and algebraic...
- This $150,000 Project Grant awarded by the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) supports research on structural techniques for dense classes of graphs. The project, led by the Georgia Tech Research Corporation, will focus on developing a comprehensive understanding of graph structure, specifically by studying classes with a forbidden vertex-minor or a dependent first-order theory....
- The National Science Foundation Division of Mathematical Sciences awarded a $578,199 Project Grant to the University of Texas at Austin for collaborative research related to matroids, graphs, and algebraic geometry from July 1, 2021 to June 30, 2024. The award supports research under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise through increasing knowledge and enhancing understanding...
- The National Science Foundation (NSF) awarded a $165,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to North Carolina State University (NC State) for the period of August 1, 2025 to July 31, 2028. The grant will fund research on algebraic invariants of matroids and their applications. Key objectives include developing a simpler definition of the intersection cohomology module of a matroid, exploring matroidal analogues of Stanley's local...
- This Project Grant award of $154,989, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program, supports research conducted by Carnegie Mellon University (CMU) on positive vector bundles in combinatorics, with a focus on matroids and their applications. The research aims to deepen the interaction between combinatorics and algebraic geometry, addressing long-standing conjectures in matroid theory and exploring implications for areas such as...
- The National Science Foundation Division of Mathematical Sciences awarded a $295,664 Project Grant to the University of Oregon for collaborative research related to matroids, graphs, and algebraic geometry. The award period is from July 1, 2021 through June 30, 2024. The funding supports research under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise through increasing scientific...
- 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 $287,952 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) will fund research on lattice polytopes and their connections to graphs and networks. The principal investigator will study three classes of lattice polytopes - flow polytopes, graphical Hermite normal form simplices, and faces of symmetric edge polytopes - and analyze their geometric and algebraic properties such as volume, faces, and integer point...
- This Project Grant award, valued at $137,324.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award is focused on advancing the mathematical understanding of polytopes, which are geometric structures with universal importance in many areas of mathematics, including computer science, architecture, art, and philosophy. The principal investigator plans to attack various problems related to polytopes and...
This federal Project Grant award, funded by the National Science Foundation (NSF) through the Mathematical and Physical Sciences program (CFDA 47.049), supports research into quadratically dense matroids. Matroids are mathematical structures that describe independence and dependence relationships, with applications in optimization, network theory, and cryptography. The $284,812 award will fund efforts to prove new upper bounds on the number of elements in matroids based on their rank, and to show that these bounds are attained by matroids derived from networks with labeled edges. The research will focus on minor-closed matroid classes, such as binary matroids and real-representable matroids, and will involve constructing new matroids from graphs with edges labeled by finite groups. This work is expected to yield advancements in optimization, structural rigidity theory, and network flow theory. The award will also provide graduate student training and mentorship as part of the project.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $284.8k | 7/31/25 |