The National Science Foundation awarded a $358,968 Project Grant to The Research Foundation For The State University Of New York at the University at Albany under the Mathematical and Physical Sciences program (CFDA 47.049). The three-year grant will support research in the areas of higher depth in representation theory, number theory, and quantum topology from September 2021 through August 2024. As the prime awardee, The Research Foundation For The State University Of New York will oversee...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research into combinatorial algebraic geometry, including the study of flag varieties, toric geometry, and applications. The $121,201 award from January 1, 2025 to June 30, 2027 will fund research objectives such as advancing the theory of combinatorial subvarieties of the flag variety, proposing a notion of duality for Newton-Okounkov bodies, and studying...
This Project Grant award of $100,000.00 was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports research in algebraic combinatorics, which investigates combinatorial structures arising in algebra and geometry. Specifically, the project aims to develop new combinatorial techniques in classical incidence geometry and further the theory and applications of cluster algebras. The research will involve...
This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences program (CFDA 47.049) provides $210,000 in funding to The Trustees of Smith College to support research on combinatorial models in representation theory, geometry, and analysis. The key focus areas of the research project include optimizing and analyzing two types of edge-labeled graphs: webs from knot theory and representation theory, and algebraic splines from applied mathematics. The...
This Project Grant award, totaling $179,999.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049). The award supports collaborative research to develop combinatorial methods for problems in Lie theory and symmetric function theory, with applications to probability, statistical mechanics, and quantum information theory. Key objectives include advancing the open-source SAGE mathematics software and training...
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 $210,000 Project Grant awarded by the National Science Foundation Division of Mathematical Sciences under the CFDA Program 47.049 "Mathematical and Physical Sciences" will fund research in algebraic combinatorics and braid varieties. The project aims to use algebraic methods to produce new combinatorial results with applications in areas like cryptography, protein folding, high-energy physics, and quantum computing. Specifically, the funds will support exploring the use of braid...
The National Science Foundation (NSF) awarded a Project Grant of $154,989 to Carnegie Mellon University under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award will fund research to deepen the interaction between combinatorics and algebraic geometry, including work on matroid theory, Coxeter combinatorics, and algebraic statistics. The project aims to reveal new structural properties of combinatorial objects and inform the complexity of maximum-likelihood...
This Project Grant award from the National Science Foundation Division of Mathematical Sciences, under the CFDA program Mathematical and Physical Sciences (47.049), provides $165,000.00 over 3 years from August 1, 2023 to July 31, 2026 to Texas A&M University for research in commutative algebra, algebraic geometry, and algebraic combinatorics. The primary focus of the research is using combinatorial models to understand affine varieties and the algebro-geometric significance of these models....
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...