This Project Grant award from the National Science Foundation Division of Mathematical Sciences provides $108,795 to the University of South Carolina under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) from September 1, 2023 through August 31, 2026. The university will conduct collaborative research on derived categories in birational geometry, enumerative geometry, and non-commutative algebra. Key activities include investigating connections between derived...
The National Science Foundation Division of Mathematical Sciences awarded $350,000 under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the Regents of the University of Minnesota for a project grant titled "Modern Homotopical Obstruction Theory." The grant supports research into developing a modern, reusable library of obstruction theory techniques that can be applied across algebraic topology, algebraic geometry, and geometric topology. The Principal...
This National Science Foundation (NSF) Project Grant award of $210,000.00, under the Mathematical and Physical Sciences (CFDA 47.049) program, supports research at the University of Minnesota on generalized determinantal varieties. The project examines symplectic matrix Schubert varieties, alternating sign matrix varieties, and quiver loci through the development of diagonal Gröbner geometry theory. Key goals include providing opportunities for undergraduate, graduate, and postdoctoral...
This three-year, $611,884 project grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research on higher categorical structures in algebraic geometry at Northwestern University from September 2022 through August 2025. The project aims to apply recent developments in higher category theory and condensed mathematics to longstanding questions in algebra and algebraic geometry relating to complete noncommutative categorical...
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 Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $190,000 to the Regents of the University of Michigan from July 1, 2023 through June 30, 2026. The University will investigate problems relating to the double ramification cycle, a fundamental intersection-theoretic class on the moduli space of algebraic curves. Specifically, the University aims to develop improved formulas...
The Regents of the University of Minnesota received a $265,899 Project Grant award from the National Science Foundation Division of Mathematical Sciences on July 1, 2021 for optimal measures and point configurations research through June 30, 2024. The grant supports work under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise through increasing knowledge and enhancing understanding of...
This Project Grant award from the National Science Foundation Division of Mathematical Sciences provides $497,614 in funding to the University of Chicago from September 1, 2022 to August 31, 2025. The award supports research into higher categorical structures in algebraic geometry under the NSF's Mathematical and Physical Sciences program (CFDA 47.049). Specifically, the funding will allow the University of Chicago researchers to pursue four main challenges applying recent developments in higher...
The University of Wisconsin-Madison received a $150,000 Project Grant award from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) to support research on categorical invariants in non-commutative geometry from August 1, 2022 to July 31, 2025. Specifically, the Principal Investigator will expand the understanding of the role played by splittings of the non-commutative Hodge filtration in defining categorical...
This three-year Project Grant from the National Science Foundation Division of Mathematical Sciences, totaling $540,974, will fund collaborative research applying recent developments in higher category theory and condensed mathematics to longstanding questions in algebraic geometry and the introduction of new questions in analytic algebraic geometry. Specifically, the principal investigators and their collaborators at the University of California, Berkeley will pursue four main research...