Project Grant 2332342
- 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 $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 National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences program (CFDA 47.049) provides $210,000 in funding to The Trustees of Smith College to support research on combinatorial models in representation theory, geometry, and analysis. The key focus areas of the research project include optimizing and analyzing two types of edge-labeled graphs: webs from knot theory and representation theory, and algebraic splines from applied mathematics. The...
- 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...
- This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $249,548 to Bryn Mawr College to support research related to solving polynomial equations, investigating monomial ideals and parking functions, and broadening participation in the mathematical sciences. The key products and services to be delivered include: Examining problems in commutative algebra through the study of minimal free resolutions of...
- 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...
- This Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences federal grant program (CFDA 47.049), provides $440,000 to support research in model theory from August 1, 2022 to July 31, 2025. The Principal Investigator at the University of Maryland, College Park will investigate mechanisms by which a theory can control combinatorial configurations in its models. Specific areas of focus include monadic expansions of...
- This $400,000 federal Project Grant awarded by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will support a partnership between the American Institute of Mathematics (AIM) and California State University, Long Beach (CSULB) to invigorate mathematics research and expand student research opportunities at CSULB. The key products and services to be delivered through this grant include: Designing and implementing research projects in knot theory...
- This National Science Foundation (NSF) Project Grant Award, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $210,000.00 in funding to the University of Maryland, College Park to support research on the interplay between polylogarithms, cluster algebras, and hyperbolic geometry. The key objectives are to investigate key conjectures, find new examples of hyperbolic manifolds, and compute invariants using cluster coordinates. The project will involve both graduate and...
- This Project Grant award, provided by the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049), supports collaborative research on bridging singularities in algebra and geometry across mathematical characteristics. The $109,999 award, effective August 1, 2025 through July 31, 2027, aims to deepen the theoretical foundations of commutative algebra and address problems in related disciplines such as algebraic geometry. The research focuses on singularities, or...
This National Science Foundation (NSF) project grant under the Mathematical and Physical Sciences program (CFDA 47.049) of $304,102 awarded to Saint Mary's College of California provides funding for a partnership between the PI and the Institute for Pure and Applied Mathematics (IPAM) to advance undergraduate research experiences in matroid theory. The key activities include: 1) formalizing the partnership between Saint Mary's College and IPAM, including the PI's participation in IPAM's 2024 long program; and 2) supporting undergraduate research assistants and providing the PI a teaching leave to conduct research projects that strengthen the connection between pure and applied matroid theory. The research aims to investigate the relationship between KP-soliton solutions and flag positroids, extend results on the partial permutahedron, and use polytopal methods to address questions about positroid, polypositroid, and flag positroid invariants. The project will enhance diversity and inclusion in STEM, with the PI engaged in high school outreach and supporting student groups at Saint Mary's College.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $304.1k | 8/8/23 |