Cornell University has been awarded a $360,000 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). Over a three year period from August 2023 through July 2026, Cornell will deliver three subprojects focused on algebraic combinatorics and algebraic geometry. The subprojects will investigate divided difference operators and Schubert polynomials, characterize the scheme of pairs of...
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 National Science Foundation Project Grant award of $360,000 provides funding from August 15, 2022 through July 31, 2025 to further develop set-theoretic methods and their applications to problems in mathematics. Specifically, the awardee Cornell University will conduct research into understanding the structure of the algebra of piecewise linear functions on the unit interval using transfinite ordinals, compactness, and large cardinals. This includes attempting to prove conjectures regarding...
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 $280,000 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research in birational geometry at New York University from April 2022 through March 2025. Specifically, the principal investigator will use methods from Galois cohomology of function fields, properties of algebraic cycles over non-algebraically closed fields, K-theory, and degeneration techniques to advance understanding of rationality and stable...
The National Science Foundation (NSF) awarded a $154,989 Project Grant to Carnegie Mellon University under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049). This grant, effective January 1, 2025 through June 30, 2026, supports research on the interaction between combinatorics and algebraic geometry, with a focus on matroid theory and its applications in areas such as Coxeter combinatorics and algebraic statistics. The principal investigator plans to involve...
This Project Grant from the National Science Foundation Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $144,726 to support collaborative research in the area of symplectic geometry between Cornell University and other institutions. Specifically, the funding will advance knowledge and understanding of the relationship between the geometry of Hamiltonian systems and the combinatorics of momentum maps through investigations into the...
This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) supports fundamental research in commutative algebra and the study of Koszul algebras. The $277,690 award to Iowa State University, effective September 1, 2024 through August 31, 2027, will fund research on free resolutions and Koszul algebras, with applications in areas such as geometry, combinatorics, and hyperplane arrangements. Key activities include classifying new Koszul algebra...
This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) provides $153,450 to Syracuse University to conduct research on singularities in commutative algebra and algebraic geometry. The research project, titled "Homotopical Methods and Cohomological Supports in Local Algebra," aims to leverage tools from homological algebra to gain deeper insights into the structural properties of commutative rings and study singularities in local...
The National Science Foundation (NSF) awarded a $222,345 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the President and Fellows of Harvard College. The purpose of this 3-year award, with an end date of August 31, 2027, is to support fundamental research in the fields of birational geometry, Hodge theory, and singularity theory. The principal investigator will use methods from mixed Hodge modules to study geometric invariants and prove new...