Project Grant 2412041
- 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 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 $1,797,964 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) will support a Research Training Group (RTG) project at the University of Southern California (USC) focused on training early-career researchers in the areas of geometry, topology, and representation theory. The project will fund potentially transformative research in these mathematical fields and their applications to other scientific domains, such as...
- 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...
- The University of Southern California was awarded a $353,255 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support research into higher algebraic structures in symplectic geometry and their applications from July 2021 through June 2024. As part of the Mathematical and Physical Sciences program's goal of strengthening the nation's scientific enterprise through advancing...
- 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 $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 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 $204,372 federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research on the potential theoretic aspects of complex geometry. The principal investigator will employ methods from potential theory, infinite-dimensional geometry, and geometric analysis to investigate a cluster of interconnected questions and conjectures in complex geometry. The project aims to advance scientific knowledge in this...
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 tools that bridge these fields. Key technical objectives include studying structural properties of multigraded polynomial rings and adapting symplectic geometry techniques to algebraic contexts. The research also includes significant mentoring and training activities for early-career researchers and graduate students through workshops, seminars, and the creation of computational tools. This award, with a performance period from August 1, 2025 to July 31, 2028, represents an exciting opportunity to leverage emerging connections between algebra, geometry, and physics to drive mathematical and technological innovation.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $251.1k | 7/23/25 |