Project Grant 2502333
- 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 $201,798 Project Grant was awarded by the National Science Foundation (NSF) through its Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award will support the Principal Investigator's research on applying new techniques in algebraic geometry to study the geometry of solution sets to systems of polynomial equations. The research will focus on three main directions: cohomology of moduli spaces of stable and smooth curves, and conjectures related to hypersurface...
- This $313,273 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will support research at the University of Nebraska aimed at settling various open conjectures in the field of commutative homological algebra. The key research areas include non-commutative analogues for DG categories, duality in Hochschild homology, homological properties of modules of finite projective dimension, Ulrich modules and sheaves, and matrix...
- 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 $119,093 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research at North Carolina State University in commutative algebra, algebraic geometry, combinatorics, and singularity theory. The research aims to develop new formulas and computational methods with applications in areas like geometric modeling, investigate the multigraded structures of algebraic varieties, and advance the understanding of...
- This $144,500 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental and applied research in algebraic geometry and commutative algebra conducted by Purdue University. The research aims to expand the scope of birational geometry and the minimal model program, with a focus on studying singularities and their interactions with other mathematical fields like complex geometry and arithmetic geometry. The...
- This $251,133 federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research at the University of Southern California (USC) exploring the interplay between algebra and geometry, and their connections to physics. The project aims to advance understanding in the areas of multigraded commutative algebra, toric geometry, and symplectic geometry, with the goal of developing new mathematical...
- This $220,000 federal Project Grant was awarded on August 1, 2025 by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) to the University of Utah. The grant will fund collaborative research to bridge singularities in algebra and geometry across mathematical characteristics. Key focus areas include commutative algebra, algebraic geometry, and the study of singularities using techniques from modular arithmetic and mixed characteristic settings. The...
- This Project Grant award, provided by the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049), supports collaborative research on bridging singularities in algebra and geometry across mathematical characteristics. The $109,999 award, effective August 1, 2025 through July 31, 2027, aims to deepen the theoretical foundations of commutative algebra and address problems in related disciplines such as algebraic geometry. The research focuses on singularities, or...
- This Project Grant award, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049), supports fundamental research in commutative algebra and algebraic geometry. The $207,142 award to Oberlin College will fund investigations into several classical algebraic structures, including differential operators, almost complete intersections, and Gorenstein ideals. The project aims to develop new homological techniques to understand the geometric...
This $116,251 Project Grant was awarded on August 1, 2025 by the Division of Mathematical Sciences (National Science Foundation) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The project aims to uncover hidden similarities and uniform behavior among objects studied in the fields of commutative algebra, algebraic geometry, and arithmetic geometry. This research seeks to establish new results demonstrating unexpected uniform behavior in noetherian rings, especially those arising in an arithmetic setting. The project involves techniques from prime characteristic commutative algebra, non-archimedean functional analysis, and recent advances in mixed characteristic singularity theory. In addition to the research, the award will support outreach activities, student opportunities, and conference organization. The grant was awarded to the University of Missouri System to perform this work over a 24-month period ending on July 31, 2027.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $116.3k | 7/23/25 |