Project Grant 2501855
- 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 $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 $280,000 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research in birational geometry at New York University from April 2022 through March 2025. Specifically, the principal investigator will use methods from Galois cohomology of function fields, properties of algebraic cycles over non-algebraically closed fields, K-theory, and degeneration techniques to advance understanding of rationality and stable...
- 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 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 $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...
- This Project Grant award of $293,046 from the National Science Foundation's (NSF) Division of Mathematical Sciences, under the Mathematical and Physical Sciences (CFDA 47.049) Federal Grant Program, supports fundamental research on higher-dimensional spaces and their applications. The principal investigator (PI) at Kansas State University (KSU) will investigate problems related to four-dimensional spaces, including detecting differences between smooth geometric objects and studying stabilization...
- This National Science Foundation Project Grant award of $302,854 provides funding from July 1, 2022 through June 30, 2025 to support research in algebraic geometry at Michigan State University. The PI will investigate relationships between hyperkähler manifolds, Fano varieties, Calabi-Yau varieties, and varieties of general type through moduli theory. Specifically, the PI aims to 1) formalize geometric constructions relating Fano varieties to hyperkähler manifolds of K3 type, 2) study which...
- 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...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research conducted by Brigham Young University to develop new algebraic geometry invariants that are valid in any number system. The $125,000 award, spanning July 2025 to June 2027, will pursue three primary goals: 1) understanding the motivic Euler characteristic of Hilbert schemes of K3 surfaces, including characterization of Hasse-Witt invariants; 2)...
This Project Grant award for $175,000 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research in algebraic geometry, a central branch of mathematics. The PI will focus on studying the geometry and enumerative geometry of KSBA spaces, which are a generalization of Deligne-Mumford's moduli spaces of curves to higher dimensions. This includes investigating the KSBA moduli spaces of anticanonical surfaces, Calabi-Yau hyperplane arrangements, 3-dimensional Calabi-Yau varieties, and K3 surfaces with automorphisms. The project will also study the kappa classes (generalized MMM classes) on various KSBA moduli spaces. Graduate students will be involved in and supported by this research project, which runs from August 1, 2025 to July 31, 2027. No sub-awards are planned under this grant.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $175.0k | 7/17/25 |