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 $100,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental and applied research in algebraic combinatorics at the University of Michigan. The project aims to extend connections between combinatorial structures in algebra and geometry, with a focus on developing new combinatorial techniques in classical incidence geometry and further advancing the theory and applications of cluster algebras. Key...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a 5-year, $182,954 Project Grant to The Washington University in St. Louis to conduct research in algebraic combinatorics. The research aims to build connections between discrete structures and algebraic objects, with broad applications in mathematics and other sciences. Key research objectives include studying the combinatorial and geometric structure of Hessenberg varieties, and using topological data from these...
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...
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 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...
The University of Michigan will receive $300,000 in funding from the National Science Foundation under the Mathematical and Physical Sciences program (CFDA 47.049) for the project "ALGEBRAIC COMBINATORICS" from July 1, 2021 to June 30, 2024. The University will conduct research in algebraic combinatorics to promote progress in mathematical sciences and strengthen the nation's scientific enterprise. The funding will support increasing knowledge and understanding of major problems...
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 $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 three-year National Science Foundation Project Grant of $181,513 will support research in combinatorial representation theory at Dartmouth College from July 2022 through June 2025. The grantee aims to develop algorithms using diagram algebras and symmetric functions to advance understanding of the Kronecker problem in decomposing tensor products of representations into simpler representations. This work relates abstract algebraic objects like groups to combinatorial objects such as graphs...