Project Grant 2152309
- 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 $180,139 National Science Foundation project grant supports collaborative research in enumerative algebraic geometry conducted by investigators at Rutgers, The State University. The research aims to resolve outstanding questions in enumerative geometry through the study of intersection theory on moduli spaces of geometric figures including flag varieties, their cotangent bundles, bow varieties, and Hessenberg varieties. Techniques include intersection theory, equivariant localization,...
- The National Science Foundation awarded a $199,989 Project Grant to the University of North Carolina at Chapel Hill on June 1, 2021 to support research titled "Dualities in Enumerative Geometry and Representation Theory" through May 31, 2024. The grant is funded through NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these scientific fields and strengthen the national scientific enterprise. Under this award, UNC-Chapel Hill...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded the University of North Carolina at Chapel Hill (UNC) a $185,000 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports a three-year research project to develop Hodge theoretic techniques for studying Knizhnik-Zamolodchikov differential equations, which link representation theory, algebraic geometry, and mathematical physics. Key research activities include developing a...
- 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 Project Grant from the National Science Foundation's Division of Mathematical Sciences provides $194,999 to support collaborative research at Princeton University from June 2022 to June 2024. The funding falls under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to advance scientific knowledge and understanding in these fields. Specifically, the award will bring together researchers to address open problems at the intersection of matroids, graphs, and algebraic...
- The National Science Foundation (NSF) awarded a $405,500 Project Grant under its Mathematical and Physical Sciences (CFDA 47.049) program to Duke University to support a research program in A1-homotopy theory and its applications to enumerative geometry and number theory. The award will fund research to develop enriched counting methods that can detect differences in the number of solutions to equations requiring real or imaginary numbers, with potential applications in number theory and...
- 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...
- This $225,000 National Science Foundation Project Grant supports research in algebraic geometry at the University of Georgia Research Foundation from July 2022 through June 2025. The Mathematical and Physical Sciences program aims to increase scientific knowledge and understanding in major problems through support of basic research. Specifically, this award will fund the principal investigator's research on degenerations of algebraic varieties and geometric compactifications of moduli spaces...
- The National Science Foundation's Division of Mathematical Sciences awarded $175,000 under the Mathematical and Physical Sciences program (CFDA 47.049) to the University of Georgia Research Foundation to support fundamental research in algebraic geometry. Effective August 1, 2025, through July 31, 2027, this project grant funds the Principal Investigator's research on the geometry and enumerative geometry of Kahler-Schüller-Bertin-Abramovich (KSBA) spaces, which generalize Deligne-Mumford moduli...
This $185,987 National Science Foundation Division of Mathematical Sciences Project Grant supports continued collaborative research in enumerative algebraic geometry at the University of North Carolina at Chapel Hill from August 1, 2022 through July 31, 2025. Specifically, the investigators and their graduate students will further their work resolving outstanding questions in enumerative algebraic geometry through techniques including intersection theory, equivariant localization, symmetric functions, Hecke algebra actions, and geometric representation theory applied to moduli spaces of geometric figures such as flag varieties, their cotangent bundles, bow varieties, and Hessenberg varieties. Their research aims to develop exact formulas for counting solutions to simultaneous equations and predicting the number of geometric objects satisfying specified conditions, with implications for progress in fields like physics, computer science, and engineering. This award is aligned with the NSF's Mathematical and Physical Sciences program to strengthen the nation's scientific enterprise through advancing knowledge and understanding in major challenges through mathematical and physical sciences research.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $186.0k | 7/15/22 |