Project Grant H982301010204

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...

This Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences federal grant program (CFDA 47.049), provides $201,419 to the Research Foundation of the City University of New York (RFCUNY) on behalf of Bernard M. Baruch College. The award will support research focused on improving quantitative bounds for foundational results in additive combinatorics, number theory, commutative algebra, and algebraic geometry that rely on...

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 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...

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 $124,676 Project Grant was awarded by the National Science Foundation (NSF) under their Mathematical and Physical Sciences (CFDA 47.049) program. The grant will fund research by the Research Foundation of the City University of New York (RFCUNY) to investigate the Computable Symmetries of the Absolute Galois Group of the Rational Numbers. The research aims to determine whether the computable symmetries form an elementary subgroup of the full group, which could allow mathematicians to...

This $323,992 National Science Foundation project grant will support an Research Experiences for Undergraduates Site in Extremal Graph Theory and Dynamical Systems at Rochester Institute of Technology from February 2023 through January 2026. Under this award, RIT will engage 30 undergraduate students over three summers in research experiences in areas of graph theory, linear algebra, and dynamical systems. Students will work directly with RIT faculty on applied projects modeling cardiac...

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 National Science Foundation awarded a $112,447 project grant under the Integrative Activities program to the University of Nebraska-Lincoln to support research on spanning structures in random graphs. The three-year award beginning August 1, 2022 will fund analysis of fundamental open questions regarding the existence and emergence of spanning substructures like trees, cycles, and matchings in random graph models beyond classic Erdős–Rényi graphs. These include random geometric graphs,...

This $290,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (MPS) program supports research in computable model theory and invariant descriptive computability theory. The award, spanning July 2024 to June 2027, will fund work that explores connections between computability theory and the fields of model theory and set theory within mathematical logic. Key objectives include investigating cases where mathematically equivalent objects have...