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 Project Grant award of $179,999.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will support research by The Leland Stanford Junior University (Stanford University) to advance fundamental problems in Ramsey theory and extremal combinatorics. The funded project will develop new techniques from areas such as combinatorics, probability, analysis, and algebraic geometry to drive progress on key problems related to the existence of...
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...
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...
The National Science Foundation (NSF) awarded a $260,846 Project Grant under the Mathematical and Physical Sciences (MPS) program (CFDA 47.049) to the Georgia Tech Research Corporation (Georgia Tech) for research on graph coloring and graph structure. This three-year project (6/1/2024 - 5/31/2027) will investigate the existence of certain graph configurations and their connections to global graph properties, building on prior work on the Four Color Theorem and related conjectures. The research...
This $240,606 Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research at the intersection of combinatorics, probability, and other fields. The project, led by researchers at New York University, explores threshold phenomena in random discrete structures and asymptotic enumeration problems on expander graphs. Key objectives include proving the "Second...
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 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 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 three-year, $130,029 National Science Foundation project grant supports mathematical research on optimizing local graph conditions to force global structural properties. The awardee, University of South Florida, will investigate extremal combinatorics questions regarding graphs and directed graphs using probabilistic methods including the absorbing technique and regularity method. Graduate students will assist with research to support their professional development. Outcomes will further...