The National Science Foundation Division of Mathematical Sciences awarded Purdue University a three-year $183,426 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support research into singularities of algebraic varieties and more general objects over arbitrary characteristic fields and Noetherian rings. Specifically, the Principal Investigator will further develop the theory of singularities, build necessary tools and techniques, and...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $110,000 Project Grant to the University of Kansas Center for Research Inc. to study the singularities of algebraic varieties and develop methods to precisely quantify the complexity of polynomial systems through the use of invariants. This 3-year grant, which runs from September 1, 2023 to August 31, 2026, will train graduate students in technical mathematical research, implementation of results using...
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...
This Project Grant award, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049), supports a research project on the interaction of algebra and geometry, with a focus on the resolution of singularities. The $209,771 award, effective August 15, 2024 through July 31, 2027, will fund research conducted by the University of Missouri System, exploring topics such as properties and applications of filtrations in local rings, inseparable local...
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...
Purdue University was awarded a $243,904 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support research into algebraic structures in topology and geometry from July 1, 2021 to June 30, 2024. As part of the Mathematical and Physical Sciences program's goal of strengthening the nation's scientific enterprise through foundational work in mathematics, this...
Purdue University received a $250,000 Project Grant award from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) for the period September 1, 2023 through August 31, 2026. The award will support research at the intersection of representation theory, integrable systems, mathematical physics, combinatorics, and enumerative algebraic geometry. Specifically, the Principal Investigator will pursue five...
This National Science Foundation Project Grant award of $205,000 supports collaborative research in differential geometry and algebraic geometry at the University of Notre Dame from July 2022 through June 2025. Specifically, the award funds research into the relationship between local properties of algebraic varieties and global features of tangent spaces as points vary. Investigators will also study the implicitation problem in pure mathematics and its applications in geometric modeling and...
The National Science Foundation (NSF) awarded a $250,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to The Trustees of Princeton University Office of Research and Project Administration Division, doing business as Princeton University. This grant, awarded on June 1, 2024, will fund research centered on algebraic geometry and singularities in arithmetic settings, with the goal of developing new techniques to describe higher differential forms in positive...
Purdue University was awarded a $350,000 Project Grant from the National Science Foundation Division of Mathematical Sciences. The grant is part of the NSF's Mathematical and Physical Sciences program (CFDA 47.049) and will support research on D-modules and commutative algebra from July 1, 2021 to June 30, 2024. The funding will allow Purdue researchers to advance the store of scientific knowledge and enhance understanding of major problems in mathematics through their work developing new...