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 three-year, $245,379 National Science Foundation Project Grant in the Mathematical and Physical Sciences program (CFDA 47.049) will support research in the area of algebraic geometry being conducted by the University of Utah. Specifically, the principal investigator will apply techniques from differential geometry to construct moduli spaces parametrizing classes of algebraic varieties beyond the current state of knowledge in Fano varieties. This will include building moduli of both...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research into combinatorial algebraic geometry, including the study of flag varieties, toric geometry, and applications. The $121,201 award from January 1, 2025 to June 30, 2027 will fund research objectives such as advancing the theory of combinatorial subvarieties of the flag variety, proposing a notion of duality for Newton-Okounkov bodies, and studying...
This Project Grant award, valued at $250,000.00, was provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program to Brown University. The primary focus of this 3-year project is to conduct research in the areas of moduli theory and birational geometry within the field of algebraic geometry, which has important applications in coding, industrial control, computation, and theoretical physics. Key research activities include studying the...
The National Science Foundation (NSF) awarded a $281,250 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) Federal Grant Program to Colorado State University (CSU) to support the 2025 Summer Research Institute in Algebraic Geometry. This large-scale, three-week conference will be held at CSU in Fort Collins, Colorado from July 14 to August 1, 2025. The grant will fund housing for 150 graduate students, postdocs, and early career researchers to attend the institute, which...
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...
The National Science Foundation (NSF) awarded a $250,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to The Trustees of Princeton University Office of Research and Project Administration Division, doing business as Princeton University. This grant, awarded on June 1, 2024, will fund research centered on algebraic geometry and singularities in arithmetic settings, with the goal of developing new techniques to describe higher differential forms in positive...
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 a research project on the interaction of algebra and geometry, with a focus on the resolution of singularities. The $209,771 award, effective August 15, 2024 through July 31, 2027, will fund research conducted by the University of Missouri System, exploring topics such as properties and applications of filtrations in local rings, inseparable local...
The University of Utah Office of Sponsored Projects Division was awarded a $330,000 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will fund research in the field of algebraic geometry from July 2023 to June 2026. Specifically, the Principal Investigator will generalize results from the Minimal Model Program over complex numbers to varieties over algebraically...