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,...
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 University of California, San Diego will apply asymptotic algebraic combinatorics techniques under a $240,000 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049). Over three years from August 2021 through July 2024, the university will use the funding to advance the progress of mathematical and physical sciences through increasing the understanding of major problems facing the nation. Specifically, the grant will support...
The University of California, San Diego was awarded a $218,577 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 support research in the field of combinatorial representation theory from July 2023 through June 2026. Specifically, the principal investigator and collaborators will study objects that remain invariant under certain linear symmetries, seeking to extend...
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 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) provides $121,201 to the University of California, Santa Cruz (UCSC) to advance research in combinatorial algebraic geometry. The objectives include developing theory related to flag varieties and Newton-Okounkov bodies, as well as applying generalized permutahedra to machine learning. The project will also contribute to broadening participation in mathematics through...
The University of California, Davis was awarded a $200,894 Project Grant from the National Science Foundation under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will fund research into Combinatorial Probability and Representation Theory from July 2021 through June 2024. As part of its mission to strengthen the nation's scientific enterprise, the NSF Mathematical and Physical Sciences program supports research aimed at increasing fundamental scientific knowledge and...
The National Science Foundation awarded The Regents of the University of California $330,000 under the Mathematical and Physical Sciences program (CFDA 47.049) to advance theory and methodology for tree-based algorithms in high dimensions from July 2022 to June 2025. The project will analyze the generalization performance of tree-based algorithms on regression models to better understand their inductive bias for different data structures. It will also study a new framework for obtaining...
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 $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research to develop new tools for studying the geometry and dynamics of physical systems. Key research focus areas include: Investigating the existence and properties of periodic orbits in four-dimensional phase spaces with three-dimensional energy levels Studying the geometry of phase spaces to determine when dynamical systems are equivalent...