The National Science Foundation (NSF) awarded a $274,996 project grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the University of Massachusetts (UMass). The grant period runs from June 1, 2024 to May 31, 2027. The primary focus of the research is to advance the study of derived categories of moduli spaces and Fano varieties, with the goal of further developing the interconnections between algebraic geometry, non-commutative geometry, and mathematical...
The University of Massachusetts received a $272,000 project grant award from the National Science Foundation on June 1, 2021 to support the "NEW FRONTIERS OF ALGEBRAIC GEOMETRY" project through May 31, 2024. The grant is funded through the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote advancement in these scientific fields and strengthen the national scientific enterprise. Under this award, the University of Massachusetts will deliver research...
This $260,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on geometric limits in low dimensional geometry and topology at Boston College. The key objectives of the project are to analyze the global topology of the "space of all hyperbolic manifolds" and study the relationship between the "rank" of closed hyperbolic 3-manifolds and their geometry. In addition to the research...
The University of Massachusetts Boston (UMB) was awarded a $123,416 project grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) to conduct research in symplectic cohomology and quantum cohomology of Fano manifolds. Under this award effective July 1, 2023 through June 30, 2026, UMB will analyze Gromov-Witten invariants to probe the global structure of symplectic manifolds. The PI will "cut open" manifolds along divisors to study...
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...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a 3-year, $250,000 Project Grant to the University of Wisconsin - Madison under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate moduli spaces of surfaces with additional geometric structure. The grant will fund research to solve long-standing conjectures about the geometry and topology of these moduli spaces, which are mathematical spaces that parameterize the shapes an object can take....
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $320,000 Project Grant to the University of Illinois, Urbana-Champaign under the Mathematical and Physical Sciences program (CFDA 47.049). The three-year grant, effective September 1, 2023 through August 31, 2026, supports fundamental research on symplectic groupoids and the quantization of Poisson manifolds. Key objectives include developing a novel non-formal deformation quantization approach, advancing the...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded the University of North Carolina at Chapel Hill (UNC) a $185,000 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports a three-year research project to develop Hodge theoretic techniques for studying Knizhnik-Zamolodchikov differential equations, which link representation theory, algebraic geometry, and mathematical physics. Key research activities include developing a...
The National Science Foundation (NSF) awarded a $112,949 Project Grant to The Trustees of the Stevens Institute of Technology to conduct research under the Mathematical and Physical Sciences (CFDA 47.049) program. The project, titled "Uniformization of Surfaces and Mapping Problems in Metric Spaces", aims to develop new mathematical approaches for understanding the geometry of non-smooth spaces, building on the classical Uniformization Theorem. The research will investigate methods for...
The University of Massachusetts received a $180,000 project grant award from the National Science Foundation to support research in extremal graph theory and sums of squares from July 1, 2021 through June 30, 2024. The grant is funded through the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to strengthen the nation's scientific enterprise through increased understanding of major problems. Under this award, the University will conduct research and develop new...