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 $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...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $170,443 Project Grant to the University of Massachusetts Boston (UMass Boston) under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research in "Critical Symplectic Geometry, Lagrangian Cobordisms, and Stable Homotopy Theory." The project aims to incorporate ideas from homotopy theory and category theory into symplectic geometry to prove structural results about...
The University of Massachusetts received a $149,982 Project Grant award from the National Science Foundation Division of Mathematical Sciences on August 15, 2021 to support work on "COMPUTATIONAL METHODS FOR STRUCTURED DATA AND MODELS" through July 31, 2024. The grant is part of the NSF's Mathematical and Physical Sciences program (CFDA #47.049), which aims to promote progress in these fields and strengthen the national scientific enterprise. Under this award, the University of...
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 award from the National Science Foundation Division of Mathematical Sciences provides $155,046 to the University of Massachusetts Amherst under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) from September 2021 through August 2023. The funding supports applied research in the areas of geometry and harmonic analysis to develop new regularization techniques for deep learning models. By drawing from pure mathematics disciplines, the grantee aims to...
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 $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...
The National Science Foundation awarded Princeton University a $152,347 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports collaborative research on algebraic geometry and singularities in positive and mixed characteristic from May 2021 to May 2023. As part of its mission to strengthen the nation's scientific enterprise and increase knowledge in the mathematical and physical sciences, the NSF program aims to promote progress in these fields...
The University of Massachusetts received a $480,000 Project Grant award from the National Science Foundation on September 1, 2021 to support research titled "Polymer Adhesion at Extreme Rates and Temperatures" through August 31, 2024. The grant is part of the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these scientific fields and strengthen the national scientific enterprise through increasing knowledge and enhancing understanding...