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...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $300,000 Project Grant to the Regents of the University of Michigan under the Mathematical and Physical Sciences program (CFDA 47.049) to pursue two lines of investigation related to cluster algebras and cluster varieties. The first line of investigation involves constructing cluster structures on braid varieties, Richardson varieties, and related geometric spaces that have applications in representation theory and...
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...
The University of Michigan will receive $300,000 in funding from the National Science Foundation under the Mathematical and Physical Sciences program (CFDA 47.049) for the project "ALGEBRAIC COMBINATORICS" from July 1, 2021 to June 30, 2024. The University will conduct research in algebraic combinatorics to promote progress in mathematical sciences and strengthen the nation's scientific enterprise. The funding will support increasing knowledge and understanding of major problems...
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 $172,000 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research by Michigan State University on the birational classification of algebraic varieties. The key goals are to investigate the moduli theory and boundedness of Fano varieties over the integers, explore connections between birational geometry and commutative algebra/arithmetic geometry, and apply new techniques from derived algebraic geometry to study...
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...
This $115,718 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports advanced research into the algebraic and geometric properties of solutions to systems of polynomial equations. The primary goals of the project are to study the algebraic aspects of these solutions using non-archimedean geometry, investigate the complexity of curves within varieties of general type, and develop new non-archimedean...
This $190,000 Project Grant was awarded by the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (MPS) Federal Grant Program (CFDA 47.049). The grant, titled "COMBINATORIAL REPRESENTATION THEORY AND COMBINATORIAL ALGEBRAIC GEOMETRY", will support a postdoctoral research fellowship for Shiliang Gao at Cornell University under the mentorship of sponsoring scientist Allen Knutson. The fellowship aims to conduct research at...
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...