Project Grant H982300810065

The National Science Foundation (NSF) Division of Mathematical Sciences awarded a 5-year, $182,954 Project Grant to The Washington University in St. Louis to conduct research in algebraic combinatorics. The research aims to build connections between discrete structures and algebraic objects, with broad applications in mathematics and other sciences. Key research objectives include studying the combinatorial and geometric structure of Hessenberg varieties, and using topological data from these...

This National Science Foundation Division of Mathematical Sciences Project Grant award in the amount of $329,094 provides funding from August 1, 2022 through July 31, 2025 to support research investigating questions about how objects from combinatorics and number theory vary in families. The Principal Investigator at the University of California, Irvine will use ideas from algebraic geometry and number theory to answer combinatorial questions and enhance understanding of error-correcting...

The Trustees of Princeton University will use a $300,000 project grant from the National Science Foundation to conduct research exploring the design of Plotkin transform codes via machine learning techniques. Funded through the NSF's Computer and Information Science and Engineering program (CFDA 47.070), which supports investigator-initiated research and education in computing and information sciences, the three-year project will investigate generalizing the family of Plotkin transform codes,...

This Project Grant award, valued at $300,000.00, was provided by the National Science Foundation (NSF) under the Computer and Information Science and Engineering (CISE: CFDA 47.070) Federal Grant Program. The award aims to design efficient error-correcting codes capable of improving the reliability and performance of flash memory systems, communication systems, and magnetic recording systems. The proposed research will explore the use of elementary symmetric functions to develop linear and...

This $242,668 federal Project Grant award from the National Science Foundation's (NSF) Computer and Information Science and Engineering (CISE) program will fund research at the University of California, Riverside to explore the interplay between pseudorandomness and coding theory. The goal is to construct new error-correcting codes and deepen the understanding of pseudorandomness, with a focus on improving recent code constructions based on expander graphs. The research aims to answer...

This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $435,207 under the Mathematical and Physical Sciences program (CFDA 47.049) to support the Research Experiences for Undergraduates Site: Combinatorics and Coding Theory in the Tropics. The REU Site is a collaborative effort between the University of Puerto Rico in Ponce, Williams College, and East Tennessee State University to offer undergraduate students research experiences in combinatorics and...

The National Science Foundation Division of Mathematical Sciences awarded $249,935 under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to the University of California, Davis for a project grant titled "Questions in Algebraic and Geometric Combinatorics." The grant will support research into two areas of polytope theory from August 1, 2022 to July 31, 2025. The first part of the project focuses on studying Ehrhart positivity, valuations of polytopes, and...

The National Science Foundation Division of Mathematical Sciences awarded a $300,000 Project Grant to the Massachusetts Institute of Technology (MIT) to support research in combinatorics and its applications from July 2021 through June 2024. The grant funding will support MIT's work under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in the mathematical and physical sciences and strengthen the nation's scientific enterprise through increasing...

This National Science Foundation project grant of $210,000 supports research in algebraic combinatorics at the University of Miami from August 2022 through July 2025. The grant funds three related research projects exploring connections between combinatorics and abstract algebraic structures to gain insights and solve problems in both fields. Specifically, the grant supports continued study of chromatic quasisymmetric functions and their relationship to Hessenberg varieties, investigation of new...

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...