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 (NSF) Division of Mathematical Sciences Project Grant for $281,433 awarded to Claremont McKenna College supports research in pure and applied knot theory. The project aims to connect quantum topology with hyperbolic geometry and apply knot theory techniques to the study of knotted biopolymers. Key research focus areas include: Investigating how quantum invariants of knots relate to the geometric properties of knots and 3-dimensional spaces, with potential...
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 Project Grant from the National Science Foundation Directorate for Mathematical and Physical Sciences, under the Mathematical and Physical Sciences federal grant program (CFDA 47.049), provides $122,662 to investigate several research questions in topology at Brooklyn College of the City University of New York from July 1, 2022 to June 30, 2024. Specifically, the award supports three projects exploring how properties of three-dimensional knots and manifolds can be represented by...
This $175,000 federal Project Grant was awarded on July 15, 2024 by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The grant supports the Cornell University research project "Commutative Algebra Methods for Hilbert Schemes and Beyond", which aims to use techniques from commutative algebra to study the Hilbert scheme and related moduli spaces in algebraic geometry. The key focus areas include understanding the...
This Project Grant award, valued at $137,324.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award is focused on advancing the mathematical understanding of polytopes, which are geometric structures with universal importance in many areas of mathematics, including computer science, architecture, art, and philosophy. The principal investigator plans to attack various problems related to polytopes and...
The National Science Foundation awarded a $300,000 Project Grant to The Regents of the University of California for research titled "Combinatorics of Multivariate Orthogonal Polynomials" under the Mathematical and Physical Sciences program (CFDA 47.049). The three-year award running from July 1, 2021 to June 30, 2024 will support research into advancing the store of scientific knowledge and enhancing understanding of major problems in mathematics. Specifically, the University of...
This Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $452,656 to California State University Fresno Foundation to support research in low-dimensional topology from September 1, 2022 to August 31, 2025. The funding will advance understanding of link homology theories and other quantum invariants through construction and study of new Khovanov-type homology theories for classical and singular knots. It will also investigate...
The National Science Foundation (NSF) Division of Mathematical Sciences has awarded a $300,000 Project Grant to Cornell University to support research on stochastic models and their properties. The key objectives of this 3-year grant, which runs from July 15, 2023 to June 30, 2026, are to: Develop novel methodologies to characterize different types of orbits exhibited by Markov semigroups on Hilbert spaces, providing a comprehensive understanding of these structures. Utilize the classification...