The National Science Foundation Division of Mathematical Sciences awarded a $1,017,190 Project Grant to the University of Illinois under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support collaborative research on extremal combinatorics and flag algebras from August 1, 2022 to July 31, 2025. Specifically, the grant aims to resolve three prominent open questions in extremal combinatorics posed by Erdős, Turán, and Zarankiewicz using flag algebra...
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...
This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) supports fundamental research in commutative algebra and the study of Koszul algebras. The $277,690 award to Iowa State University, effective September 1, 2024 through August 31, 2027, will fund research on free resolutions and Koszul algebras, with applications in areas such as geometry, combinatorics, and hyperplane arrangements. Key activities include classifying new Koszul algebra...
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 $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 federal Project Grant award, valued at $100,000.00 and made by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049), supports fundamental and applied research in the field of algebraic combinatorics. The project aims to extend and deepen connections between combinatorial structures arising in algebra and geometry, with a focus on developing new combinatorial techniques in classical incidence geometry and further advancing the theory and...
This $180,000 Project Grant, awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049), supports fundamental research on two central combinatorial topics by a principal investigator at Rutgers, The State University. The first topic focuses on balancing problems for partially ordered sets, which have algorithmic applications in areas like sorting. The principal investigator and a student have recently made significant advances in this...
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 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 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...