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;...
The National Science Foundation Division of Mathematical Sciences awarded a $1,017,190 Project Grant to the University of Illinois under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support collaborative research on extremal combinatorics and flag algebras from August 1, 2022 to July 31, 2025. Specifically, the grant aims to resolve three prominent open questions in extremal combinatorics posed by Erdős, Turán, and Zarankiewicz using flag algebra...
The University of Illinois was awarded a $175,048 three-year Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to conduct research on geometric and dynamical aspects of random walks and percolation on discrete and dense subgroups of Lie groups. Key products and services to be delivered through this funding include using algebraic and dynamical methods to study the structure of...
This National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) Project Grant award of $327,441 to the University of Illinois will fund research focused on challenges at the intersection of harmonic analysis, number theory, and dispersive equations. The principal investigator (PI) plans to explore connections between diverse mathematical fields, including additive combinatorics, classical Fourier analysis, dispersive equations on tori, and ergodic theory. The funded...
The University of Illinois was awarded a two-year, $249,538 Project Grant from the National Science Foundation Directorate for Mathematical and Physical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support the "LEAPS-MPS: ANALYTIC APPROACHES TO LIMIT THEOREMS AND RANDOM STRUCTURES" project conducted from September 2021 through August 2023. The project aims to advance understanding of major problems in the mathematical and physical sciences...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $320,000 Project Grant to the University of Illinois, Urbana-Champaign under the Mathematical and Physical Sciences program (CFDA 47.049). The three-year grant, effective September 1, 2023 through August 31, 2026, supports fundamental research on symplectic groupoids and the quantization of Poisson manifolds. Key objectives include developing a novel non-formal deformation quantization approach, advancing the...
The University of Illinois was awarded a $330,000 Project Grant from the National Science Foundation Division of Mathematical Sciences to support research related to hydrodynamics of collective phenomena and applications under the agency's Mathematical and Physical Sciences program (CFDA 47.049). The three-year award, issued June 1, 2021 with a completion date of May 31, 2024, will fund research exploring major problems confronting the Nation through advancing the store of scientific knowledge...
The University of Illinois was awarded a $599,912 Project Grant from the National Science Foundation Division of Physics under the Mathematical and Physical Sciences program (CFDA 47.049) for the period of September 1, 2021 through August 31, 2024. The grant funds research to push the boundaries of classical and quantum information processing toward enhanced security and energy-efficient reliability. The Mathematical and Physical Sciences program aims to promote progress in these fields to...
This National Science Foundation project grant of $102,612 supports research at the University of Illinois from October 1, 2022 through May 31, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The award aims to advance understanding of dynamical systems and number theory through four objectives: developing methods in homogeneous dynamics to study rational points near manifolds and self-similar sets; techniques in random walk theory and representations of algebraic...
The University of Illinois, doing business as The Board of Trustees of the University of Illinois, received a $280,000 Project Grant award from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) Federal Grant Program. The funding will support a 3-year research project titled "Hydrodynamic Theory of Environmental Averaging and Self-Organization" which aims to analyze hydrodynamic collective models in order...