Project Grant 2231958

Award Date 7/1/22
Completion Date 6/30/25
Dollars Obligated $201K
Federal Grant Program
47.049
Assistance Type
Project Grant
Place of Performance
Berkeley, CA 94720, USA
Similar Awards
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...
This $270,000 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research in geometric representation theory and symplectic geometry at the University of California, Berkeley. The research aims to develop new tools and solve open problems in these mathematical fields, which draw inspiration from theoretical physics. Key research themes include investigating the cocenter of the affine Hecke category,...
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 University of California Irvine received a $130,216 Project Grant award from the National Science Foundation Division of Mathematical Sciences on July 1, 2021 to support research titled "HIGHER DIMENSIONAL ALGEBRAIC VARIETIES: GEOMETRY AND ARITHMETIC" through June 30, 2023. The grant was awarded under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in the mathematical and physical sciences and strengthen the nation's scientific...
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...
The National Science Foundation Division of Mathematical Sciences awarded a $141,400 Project Grant to the University of Illinois under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support research into Galois structures and arithmetic statistics in number theory from August 15, 2022 to July 31, 2025. Specifically, the principal investigator and collaborators will modify non-abelian Cohen-Lenstra heuristics when the base field contains roots of...
This $200,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will support research in arithmetic dynamics, a field bridging number theory and dynamical systems. The Principal Investigator (PI) at Amherst College will focus on open problems in this area, examining both the algebraic and analytic aspects and their interactions, particularly through the lens of p-adic dynamics. The project will also involve supervising...
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...
This $130,000 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 on hyperkaehler varieties and rational varieties conducted by the Trustees of Dartmouth College Office of Sponsored Projects Division. The research aims to study arithmetic questions related to these important families of geometric objects, with a focus on three key projects: 1) using...

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 approximations and associated power series. They will also generalize prior theorems on the behavior of Abelian varieties, which are higher dimensional analogs of elliptic curves, when reduced modulo prime numbers. The work includes training undergraduate and graduate students and is expected to advance understanding of open problems in these fields of mathematics.

Generated 1/7/24, 11:49 AM