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 $185,987 National Science Foundation Division of Mathematical Sciences Project Grant supports continued collaborative research in enumerative algebraic geometry at the University of North Carolina at Chapel Hill from August 1, 2022 through July 31, 2025. Specifically, the investigators and their graduate students will further their work resolving outstanding questions in enumerative algebraic geometry through techniques including intersection theory, equivariant localization, symmetric...
This federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program provides $154,989.00 to Carnegie Mellon University to conduct research on positive vector bundles in combinatorics, with a focus on matroids and their applications in areas such as algebraic geometry, Coxeter combinatorics, and algebraic statistics. The award, effective January 1, 2025 through June 30, 2026, aims to deepen the interaction between...
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 Project Grant award, totaling $100,000.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports fundamental and applied research in algebraic combinatorics, focusing on two key areas: Developing new combinatorial techniques in classical incidence geometry, which studies configurations of geometric objects like points, curves, and surfaces. This includes exploring connections to...
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 $162,825 to support collaborative research in enumerative algebraic geometry at Virginia Polytechnic Institute and State University from August 1, 2022 to July 31, 2025. The research aims to resolve outstanding questions in enumerative algebraic geometry through investigations of intersection theory in moduli spaces of geometric figures including flag varieties, their cotangent bundles, bow...
This National Science Foundation project grant of $166,924 awarded to North Dakota State University on July 1, 2023 under the Integrative Activities program (CFDA 47.083) will support research exploring combinatorial objects and actions in higher dimensional settings through June 30, 2026. The university will conduct several research projects involving intricate bijections and actions building upon results in dynamical algebraic combinatorics and symmetric functions. One project will use a new...
This Project Grant award, totaling $180,000.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award will support collaborative research at Drexel University on combinatorial methods for problems in Lie theory and symmetric function theory, with applications to probability, statistical mechanics, and quantum information theory. Key activities include developing transformations of nonsymmetric Macdonald...