This National Science Foundation Project Grant award of $251,813 provides funding over three years from September 2023 through August 2026 to support research in combinatorial geometry and Ramsey theory at the University of California, San Diego under the Mathematical and Physical Sciences program (CFDA 47.049). The award will further the foundation's mission to advance the mathematical sciences and strengthen the nation's scientific enterprise. Specifically, the funding will allow the principal...
This $292,123 Project Grant was awarded by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research on structural Ramsey theory, which uses tools from model theory to study mathematical objects across different areas. Specific objectives include extending the contribution of model theory to structural Ramsey theory, applying methods from saturated model theory, pseudofinite model...
This $189,451 National Science Foundation project grant supports research at Emory University in the areas of discrete geometry and extremal combinatorics through July 2026. The grantee will investigate several open problems at the intersection of discrete geometry and extremal combinatorics, including Ramsey theory applications to the Erdos-Szekeres problem on large convex polytopes in point sets. The project also aims to further develop incidence geometry by studying classical problems related...
The National Science Foundation (NSF) awarded Villanova University a $210,000 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research in spectral and extremal graph theory. The three-year project focuses on two main thrusts: 1) studying classical Turán and Ramsey theory, which are central areas in combinatorics, and 2) investigating extremal problems in spectral graph theory using linear algebra to deduce combinatorial properties of graphs. The...
This Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on the anti-Ramsey properties of graphs and solutions to equations. The $249,397 award to Fairfield University aims to study rainbow number properties, which relate to the minimum number of colors needed to guarantee a rainbow arithmetic progression in graphs, integers, or modular arithmetic. The 2-year project (9/1/2024 - 8/31/2026) will employ...
This NSF-BSF Project Grant award, with a total funding of $190,779, supports research in combinatorics and pseudorandom graph theory at the University of California, San Diego (UCSD). Awarded under the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049), the project aims to study rich structures hidden within pseudorandom combinatorial structures, such as graphs and hypergraphs, using a combination of spectral, geometric, and probabilistic methods. The research...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) supports collaborative research on the "structure vs randomness" paradigm, which has applications across mathematics and computer science. The $150,000 award to the University of California, San Diego aims to develop a new theoretical framework centered on the concepts of "spreadness" and "mixing" to obtain improved quantitative bounds for...
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 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 National Science Foundation (NSF) Project Grant award for $210,001, titled "LOCAL TO GLOBAL PHENOMENA IN EXTREMAL AND PROBABILISTIC COMBINATORICS", focuses on exploring the local-to-global principle across mathematics, computer science, and related fields. The key objectives are to investigate local-to-global phenomena in extremal and probabilistic combinatorics, with a specific focus on three central open problems in discrete mathematics. The research team, led by Princeton...