Project Grant 2549038
- 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 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 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...
- 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 three-year project grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $303,805 to Texas A&M University to apply methods from combinatorial algebraic geometry to problems in spectral theory from mathematical physics. Specifically, the principal investigator (PI) will use algebraic geometry to study the spectrum of discrete periodic operators, an area with many open questions. The PI will also work to classify Galois groups...
- This Project Grant award, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049), supports fundamental research in commutative algebra and algebraic geometry. The $195,000 award will fund a 2-year collaborative research project to advance the classification and understanding of geometric objects known as varieties, which have applications in science and engineering. The key research objectives include: 1) identifying new...
- This National Science Foundation (NSF) Project Grant award, funded under the Mathematical and Physical Sciences grant program (CFDA 47.049), supports a collaborative research project exploring the connections between algebra and dynamics through the study of mathematical structures known as operator algebras. The $130,611 project, which runs from September 1, 2025 to August 31, 2028, aims to advance fundamental knowledge in pure mathematics by investigating how symmetry and complexity interact...
- 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 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 early-career researchers and graduate students. Specifically, the project will explore new approaches to studying multigraded polynomial rings, develop algebraic analogues of effective symplectic geometry techniques, and create publicly available computational tools. This research leverages emerging connections between algebraic geometry and symplectic geometry to bridge the fields of algebra and geometry, with potential applications in areas such as computer science, data analysis, robotics, and theoretical physics.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $116.3k | 9/5/25 |