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 rationality for families of algebraic varieties. The research also aims to develop equivariant birational invariants, study variation of Chow groups of algebraic cycles over number fields, and enable reconstruction of birational classes from set-theoretical data. The award reflects NSF's mission to strengthen the nation's scientific enterprise through increased mathematical knowledge and enhanced understanding of major problems.
Generated 1/6/24, 3:58 PM