The Regents of the University of California at Riverside received a $147,494 Project Grant award from the National Science Foundation Division of Mathematical Sciences on July 1, 2021 to complete work by June 30, 2024. The award supports the "HIGGS BUNDLES, SURFACE GROUPS, AND CONFORMAL LIMITS" project under the Mathematical and Physical Sciences program (CFDA 47.049). Through this funding, the University of California at Riverside will promote progress in the mathematical and physical...
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...
This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research on the geometry of mapping class groups and surface bundles, as well as related educational initiatives. The $117,892 award to the Regents of the University of California at Riverside, effective July 1, 2025 through June 30, 2030, aims to develop combinatorial techniques for studying the geometry of mapping class groups and Teichmüller spaces,...
The University of California, Santa Barbara (UCSB) received a $181,166 Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award will fund fundamental research on the geometry and topology of Ricci limit spaces, and related problems in mathematical physics. The project aims to estimate the fundamental gap for various spaces, including hyperbolic domains and locally symmetric spaces, and study the...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $141,490 Project Grant to the University of California, Santa Cruz (UCSC) under the Mathematical and Physical Sciences program (CFDA 47.049). The project seeks to study the geometry and topology of spaces with Ricci curvature bounded below, including both smooth manifolds and singular spaces. Key focus areas include investigating the fundamental groups of complete and non-compact manifolds with non-negative Ricci...
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 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...
The National Science Foundation awarded a $302,015 Project Grant to the Regents of the University of California at Riverside under the Mathematical and Physical Sciences program (CFDA 47.049) for the period of September 1, 2021 through August 31, 2024. The grant funds collaborative research titled "Collaborative Research: Magellanic Dwarfs as a Key Laboratory for Dwarf Galaxy Formation." The research aims to advance understanding of major problems in dwarf galaxy formation by utilizing...
This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $206,442 to support fundamental research into geometric structures incorporating torsion, with potential applications in mathematics and physics. Funded under the Mathematical and Physical Sciences program (CFDA 47.049), the award to the University of California Irvine from August 15, 2022 through July 31, 2025 will aid in uncovering geometric and analytic aspects of generalized Ricci curvature,...
The University of California, Santa Barbara will use a $100,000 Project Grant award from the National Science Foundation to support research titled "HYPERK?HLER GEOMETRY, STABILITY CONDITIONS, AND MODULI SPACES" from July 1, 2021 to June 30, 2024. The award falls under the NSF's 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...