Project Grant 2502707
- 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 $145,512 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research on commutative algebra methods for studying geometric structures arising from polynomial equations. The key objectives are to: 1) understand the singularities of the Hilbert scheme of points on a smooth threefold; 2) explore multigraded Hilbert schemes and other moduli spaces; and 3) develop tools to extend classical theorems in projective...
- This National Science Foundation Project Grant award of $205,000 supports collaborative research in differential geometry and algebraic geometry at the University of Notre Dame from July 2022 through June 2025. Specifically, the award funds research into the relationship between local properties of algebraic varieties and global features of tangent spaces as points vary. Investigators will also study the implicitation problem in pure mathematics and its applications in geometric modeling and...
- 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 $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 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 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 $318,144 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) aims to develop new computational tools in the field of algebraic topology at the University of Notre Dame. The 3-year project, beginning July 1, 2025 and ending June 30, 2028, will enhance understanding of how to extract information about delocalized homotopy groups from localizations. Specific research activities will focus on completing the understanding of...
- This $150,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on two open problems in algebraic combinatorics that intersect representation theory and algebraic geometry. The principal investigator and collaborators aim to use combinatorics to better understand these abstract mathematical objects in a more concrete way, with potential applications in mathematics, physics, and human-machine...
- 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 Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research in commutative algebra and algebraic geometry. The $175,000 award, effective from August 1, 2025 to July 31, 2027, will be conducted by researchers at the University of Notre Dame. The key objectives of the project are to: 1) identify new necessary and sufficient conditions for varieties to belong to the same linkage class, 2) discover finite patterns in minimal free resolutions of complex algebraic objects, and 3) develop methods to find the implicit polynomial equations describing geometric varieties. The researchers will also promote scientific exchange through conferences and seminars, and provide research training opportunities for students, postdocs, and early-career scholars.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $175.0k | 7/21/25 |