Project Grant 2412042
- This federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $137,739 to support collaborative research on the interactions between algebra and geometry. The project aims to develop new mathematical tools that bridge these two foundational areas of mathematics, exploring connections through the lens of physics and homological mirror symmetry. Key objectives include advancing understanding in multigraded...
- 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 $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 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $116,307 to the University of Oregon to support collaborative research on the interactions between algebra and geometry, and their connections to physics. The project aims to advance the understanding of multigraded commutative algebra, toric geometry, and symplectic geometry, with the broader impacts including significant training and mentoring activities for...
- 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 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...
- 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...
- Auburn University was awarded a $200,000 Project Grant from the National Science Foundation to support the program "COMPUTATIONAL ALGEBRA AND APPLICATIONS" from March 1, 2021 through February 29, 2024. The grant funding will support research in computational algebra and its applications under the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049). The goal of this program is to promote progress in the mathematical and physical sciences and strengthen...
- 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 federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $193,584 to Auburn University to conduct collaborative research exploring the interplay between algebra and geometry and their connections to physics. The key products and services being delivered include: Advancing the understanding of multigraded commutative algebra, toric geometry, and symplectic geometry through novel mathematical methods inspired by recent developments in homological mirror symmetry. This aims to uncover deeper structural properties that parallel classical results in these areas. Developing algebraic analogues of effective symplectic geometry techniques, such as stop manipulation, to bridge the fields of algebra and geometry. Providing significant training and mentoring activities, including workshops, virtual seminars, public lectures, and the creation of publicly available computational tools to support early-career researchers and graduate students. This 3-year project is scheduled to run from August 1, 2025 through July 31, 2028 and is part of the NSF's broader efforts to advance foundational mathematical sciences research with potential applications across numerous scientific and engineering domains.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $193.6k | 7/23/25 |