Project Grant 2532757
- This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $162,825 to support collaborative research in enumerative algebraic geometry at Virginia Polytechnic Institute and State University from August 1, 2022 to July 31, 2025. The research aims to resolve outstanding questions in enumerative algebraic geometry through investigations of intersection theory in moduli spaces of geometric figures including flag varieties, their cotangent bundles, bow...
- 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 $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 $170,233 three-year Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research at George Mason University to advance enumerative algebraic geometry. The research aims to resolve outstanding questions in this field through investigating the intersection theory of moduli spaces of geometric figures such as flag varieties, their cotangent bundles, bow varieties, and Hessenberg varieties. Techniques include...
- 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 $225,000 Project Grant awarded by the National Science Foundation's (NSF) Mathematical and Physical Sciences (MPS) program supports fundamental research in algebraic geometry. The grant aims to develop new tools in moduli theory and use them to advance the classification of algebraic varieties. This includes refining techniques for the deformation theory of stable pairs and analyzing wall-crossing phenomena for higher-dimensional moduli, with the goal of enabling progress in...
- 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 Project Grant award from the National Science Foundation Division of Mathematical Sciences, under the CFDA program Mathematical and Physical Sciences (47.049), provides $165,000.00 over 3 years from August 1, 2023 to July 31, 2026 to Texas A&M University for research in commutative algebra, algebraic geometry, and algebraic combinatorics. The primary focus of the research is using combinatorial models to understand affine varieties and the algebro-geometric significance of these models....
- 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, 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 Project Grant award for $248,904, titled "LEAPS-MPS: INTERACTIONS BETWEEN ALGEBRAIC COMBINATORICS, GROEBNER GEOMETRY AND LIAISON THEORY", was provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program. The project, awarded to Virginia State University, aims to advance the use of algebraic and geometric techniques to address open questions in mathematics, specifically in the areas of algebraic combinatorics, Gröbner geometry, and liaison theory. The research will explore applications of tools like Gröbner degeneration, geometric vertex decomposition, and Frobenius splitting to problems involving subword complexes, edge ideals, toric ideals of graphs, Gorenstein linkage, and Schubert varieties. The award will also support outreach to local high schools, provide research opportunities for undergraduate and graduate students, and promote interdisciplinary and international research collaboration in these mathematical domains.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $248.9k | 8/1/25 |