The National Science Foundation (NSF) awarded a $155,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) Federal Grant Program to the University of Georgia Research Foundation, Inc. This funding supports research related to the representation theory of groups, which is the study of symmetry and its applications in various mathematical fields. The project aims to construct and classify pre-Tannakian categories, which are algebraic structures generalizing the...
The National Science Foundation awarded a $400,134 Project Grant to the Georgia Tech Research Corporation from the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research in discrete harmonic analysis. Specifically, the awardee will analyze averages over prime numbers in abstract number field settings to gain new insights into traditionally evasive questions about prime numbers and the Goldbach conjecture. A range of questions concerning averages over prime numbers and...
This three-year Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $145,260 to Tufts University to investigate questions in arithmetic statistics through September 2025. Specifically, the grantee will study how arithmetic statistical objects decompose into simpler components and apply uniform bounds to number fields, class groups, and Artin L-functions. This work aims to further...
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 unity;...
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...
The University of Georgia Research Foundation, Inc. was awarded a $197,991 Project Grant from the National Science Foundation Division of Mathematical Sciences on June 1, 2021 to fund the project "Questions in Arithmetic Combinatorics." The project aims to promote progress in the mathematical sciences through increasing knowledge and enhancing understanding of major problems, as part of the NSF's Mathematical and Physical Sciences program (CFDA 47.049). Specifically, the three-year...
This $225,000 National Science Foundation Project Grant supports research in algebraic geometry at the University of Georgia Research Foundation from July 2022 through June 2025. The Mathematical and Physical Sciences program aims to increase scientific knowledge and understanding in major problems through support of basic research. Specifically, this award will fund the principal investigator's research on degenerations of algebraic varieties and geometric compactifications of moduli spaces...
The University of Georgia Research Foundation, Inc. was awarded a $232,374 Project Grant from the National Science Foundation Division of Mathematical Sciences on September 1, 2021. The grant is supporting research titled "Monoidal Triangular Categories: Representation Theory, Cohomology, and Geometry" through August 31, 2024. The grant is part of the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the...
This $124,676 Project Grant was awarded by the National Science Foundation (NSF) under their Mathematical and Physical Sciences (CFDA 47.049) program. The grant will fund research by the Research Foundation of the City University of New York (RFCUNY) to investigate the Computable Symmetries of the Absolute Galois Group of the Rational Numbers. The research aims to determine whether the computable symmetries form an elementary subgroup of the full group, which could allow mathematicians to...
This federal Project Grant award, with a total funding amount of $138,082, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program. The grant will support research focused on classical representation theory and categorification, with a particular emphasis on the study of symmetric groups, general linear groups, and their representations. The principal investigator will investigate various topics in representation theory of Lie...