The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $200,000 Project Grant to the Regents of the University of California, doing business as the University of California, Berkeley. This grant is funded under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to strengthen the nation's scientific enterprise through advances in mathematical and physical sciences.
The grant supports the development of "homotopical methods in...
The National Science Foundation's Mathematical and Physical Sciences (MPS) program has awarded a $1,196,058 Project Grant to the Regents of the University of California, Berkeley (UC Berkeley) for the "RTG: NUMBERS, GEOMETRY, AND SYMMETRY AT BERKELEY" project. Spanning August 1, 2024 to July 31, 2029, the grant will fund a variety of activities organized around UC Berkeley's research groups in number theory, geometry, and representation theory. This includes annual graduate research...
This $118,647 Project Grant award from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049, Mathematical and Physical Sciences) supports fundamental research in descriptive set theory and its connections to other mathematical fields, including computability, operator algebras, topological dynamics, and ergodic theory. The award will fund research on questions related to amenability and hyperfiniteness, as well as investigations into classical geometrical paradoxes...
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...
The National Science Foundation awarded a $300,000 Project Grant to The Regents of the University of California for research titled "Combinatorics of Multivariate Orthogonal Polynomials" under the Mathematical and Physical Sciences program (CFDA 47.049). The three-year award running from July 1, 2021 to June 30, 2024 will support research into advancing the store of scientific knowledge and enhancing understanding of major problems in mathematics. Specifically, the University of...
The Regents of the University of California, doing business as the University of California, Berkeley, was awarded a $304,859 Project Grant from the National Science Foundation Division of Mathematical Sciences on July 15, 2021. The grant supports research titled "Shimura Varieties and Automorphic Forms with Arithmetic Applications" through June 30, 2024.
The grant funds mathematical research into Shimura varieties and automorphic forms and their applications to number theory. This...
This $105,981 project grant awarded by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research at the intersection of number theory, representation theory, and geometry. The research aims to explore geometric techniques in representation theory, with a focus on connections between representations of reductive algebraic groups over local fields and geometric constructions like...
This $300,000 National Science Foundation award under the Mathematical and Physical Sciences program (CFDA 47.049) supports research and education activities in the area of automorphic forms and exceptional algebraic structures at the University of California, San Diego from July 1, 2022 to June 30, 2027. The principal investigator will conduct three related research projects investigating half-integral weight modular forms on exceptional groups, modular forms on the exceptional group G2 with...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $407,000 Project Grant to the Regents of the University of California, doing business as the University of California, Berkeley, to conduct research on "Singularity Formation in Kahler Geometry". The three-year grant, which runs from September 1, 2023 to August 31, 2026, will focus on investigating special geometric structures known as Kahler-Einstein metrics and instantons, which play critical roles...
The National Science Foundation awarded a $201,000 Project Grant to the University of California, Berkeley under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research in Diophantine geometry and arithmetic geometry, which study solutions to families of polynomial equations.
Specifically, the principal investigator and collaborators will develop new frameworks to prove the irrationality of certain conjectured numbers through analysis of rational...