Project Grant 2502317
- 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 $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 (NSF) awarded a $180,935 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to the University of Alabama. The grant, awarded on August 1, 2023, will fund research into cell decompositions of quiver grassmannians, which are related to cluster algebras. This research aims to provide a topological explanation for positivity in cluster algebras, which have connections to various areas of mathematics, physics, and other fields. The project...
- 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 federal Project Grant award of $240,914 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on algebraic geometry and its applications. The project, led by Georgia Tech Research Corporation, focuses on developing new techniques and moduli theories for studying higher-dimensional algebraic varieties, particularly leveraging the concept of K-stability to construct moduli spaces for Fano varieties and Calabi-Yau manifolds. The...
- 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 $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 federal Project Grant award of $520,463 from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) supports collaborative research exploring the connections between algebra, geometry, and physics. The research aims to advance understanding of multigraded commutative algebra, toric geometry, and symplectic geometry, addressing long-standing gaps and open questions in these areas. The project leverages recent advancements in homological mirror...
- This federal Project Grant award in the amount of $238,628 was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The project explores new connections between algebra and geometry, leveraging emerging links between algebraic geometry and symplectic geometry to develop novel mathematical tools and techniques. Key objectives include advancing the understanding of multigraded commutative algebra, toric geometry, and...
- 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 federal Project Grant award, valued at $278,488.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports research by the University of Alabama in the field of commutative algebra, which provides the local language of algebraic geometry and has applications across disciplines like computer science, physics, and engineering. The Principal Investigator will investigate the role of Rees valuations in understanding singularities, particularly in positive characteristic settings, to address fundamental conjectures in the field. The project includes opportunities for student involvement and outreach to local and academic communities. This award period runs from August 1, 2025 through July 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $278.5k | 7/31/25 |