Project Grant 2246659
- This $194,972 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences (CFDA 47.049) program supports research at Emory University focused on addressing open problems in discrete geometry. The central aims are to study the covering and intersection properties of convex geometric objects and explore connections between discrete geometry and other mathematical fields. Key planned activities include mentoring undergraduate students, developing new mathematical...
- 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 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...
- This $179,999 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) is supporting research at Stanford University to advance fundamental problems in Ramsey theory and extremal combinatorics. The project will develop new mathematical techniques, with applications in computer science, to better understand patterns in discrete structures and their properties. Specific research focus areas include improving understanding...
- This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) is focused on three distinct problems in number theory, combinatorics, and ergodic theory. The $184,738 award will support research on generalizations of Szemerédi's Theorem, which concerns the existence of long arithmetic progressions in sufficiently large sets of integers. The investigator will also study the size and structure of integer distance sets. Additionally, the...
- This $210,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program aims to study the interactions between model theory, geometry, and combinatorics. The project, titled "Zilber's Trichotomy and Its Applications," will expand on recent work to prove new instances of Zilber's Trichotomy, a key pattern observed in mathematical structures. Specifically, the project will focus on relics of o-minimal structures and algebraically closed...
- 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, 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 $150,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research at Arizona State University (ASU) on challenging problems in discrete spherical geometry. The project explores intricate mathematical questions related to spheres, which have broad implications across fields such as data science, communications, and materials science. Key focus areas include equiangular lines, spherical two-distance...
- 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 $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 to the Zarankiewicz, unit distance, and Heilbronn triangle conjectures. As part of this work, the grantee will develop new tools to advance the interplay of algebraic, analytic, combinatorial, and probabilistic methods in discrete mathematics. Graduate students will be involved in the research. The funding falls under the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049), which supports increasing scientific knowledge and understanding of major problems.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $189.5k | 3/6/23 |