The National Science Foundation (NSF) awarded a 3-year, $155,000 Project Grant under the Integrative Activities (CFDA 47.083) program to the Board of Regents of the University of Nebraska, doing business as the University of Nebraska, for research in commutative algebra and algebraic geometry. The project focuses on three areas: symbolic powers of ideals and higher-order polynomial interpolation, homological properties of symmetric ideals, and the algebraic Lefschetz property. The research...
The University of New Mexico was awarded a $152,476 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support collaborative research on parallel space-time solvers for systems of partial differential equations from July 1, 2021 to June 30, 2024. The Mathematical and Physical Sciences program aims to advance scientific knowledge and enhance understanding of major...
This National Science Foundation Project Grant award of $282,638 provides funding from June 1, 2022 to May 31, 2025 to support research in commutative and homological algebra at the University of Nebraska. Specifically, the award will further investigations into open conjectures regarding the possible values of Euler characteristics of certain complex structures and lengths of modules of finite projective dimension. The research project involves four main topics: establishing bounds on module...
This Project Grant award of $317,407 from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will support research at the University of Nebraska on the topology of 3- and 4-dimensional manifolds. The project aims to uncover deep connections between manifold theory in these dimensions, with potential applications in fields such as biology, chemistry, physics, and quantum computing. Specific objectives include proving additional cases of the Smooth...
The National Science Foundation Division of Mathematical Sciences awarded $270,000 under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to Northwestern University from July 1, 2021 to June 30, 2024. The Project Grant funding will support research into Linear Partial Differential Equations on Singular Spaces. The Mathematical and Physical Sciences program aims to strengthen the nation's scientific enterprise through advancing knowledge and understanding of major...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $400,000 Project Grant to Duke University on August 1, 2023 under the Mathematical and Physical Sciences program (CFDA 47.049) to support innovative numerical methods for solving high-dimensional partial differential equations (PDEs). The key objectives of the 3-year project are to: (1) design and analyze neural-network parametrization for high-dimensional functions with symmetry constraints, and (2) develop and...
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 University of New Mexico was awarded a $119,972 Project Grant from the National Science Foundation Division of Mathematical Sciences on July 1, 2021 to support research in numerical methods in noncommutative matrix analysis through June 30, 2024. The grant supports research to advance the mathematical and physical sciences through increasing understanding of major problems in numerical methods for noncommutative matrix analysis. Specifically, the funding will allow researchers at the...
The National Science Foundation awarded Northwestern University a $355,745 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) from June 1, 2021 through May 31, 2024. The grant funds research on combinatorial and algebraic structures in dynamics, advancing the program's goal of strengthening the nation's scientific enterprise through increased understanding of major problems. The university will utilize the three-year funding period to investigate major open...
The National Science Foundation awarded a $279,707 Project Grant to the University of Washington under the Mathematical and Physical Sciences program (CFDA 47.049). The grant funds research on the regularity theory of measures and dispersive partial differential equations over a five-year period concluding June 30, 2027. The Mathematical and Physical Sciences program supports fundamental research and education in mathematics and the physical sciences to promote scientific progress and strengthen...