The National Science Foundation Division of Mathematical Sciences awarded a $299,999 Project Grant to the Georgia Tech Research Corporation from July 15, 2021 to June 30, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The funding will support research investigating the dynamics and kinetics of physical systems. The Mathematical and Physical Sciences program aims to strengthen the Nation's scientific enterprise by promoting progress in mathematical and physical...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research on graph theory and its applications. The award of $150,000.00 to the Georgia Tech Research Corporation, which will run from August 1, 2025 to July 31, 2028, focuses on developing structural techniques for understanding dense graphs. Key areas of focus include forbidding vertex-minors and studying graphs with a dependent first-order...
This Project Grant award of $254,498 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports three research projects at Princeton University focused on advancing the mathematical understanding of Gibbs measures and their dynamics. The principal investigator and collaborators are pursuing research at the interface of partial differential equations, probability theory, and differential geometry to address open problems in areas such as the...
This $231,575 Project Grant was awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The overarching goal of the project is to establish stability results for solitons, further study their dynamics, and understand the soliton resolution conjecture for general solutions to dispersive equations. The research will utilize techniques from partial differential equations, harmonic analysis, asymptotic analysis, dynamical...
The National Science Foundation awarded a $359,994 Project Grant to Georgia Southern University Research & Service Foundation Inc. under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to support research investigating quantum thermodynamics of atomtronic systems from September 1, 2022 to August 31, 2025. Specifically, the award will fund studies of how ultracold quantum gases confined in thin sheets can be used as precision sensors when cooled to near absolute...
The National Science Foundation Division of Mathematical Sciences awarded a $198,055 Project Grant to the Georgia Tech Research Corporation from September 1, 2023 through August 31, 2028 under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The award will support research investigating chaotic dynamics in dynamical systems with noise, and applying tools from smooth ergodic theory and probability theory to rigorously analyze chaotic behavior in practical systems....
This Project Grant award from the National Science Foundation's (CFDA 47.049 - Mathematical and Physical Sciences) provides $150,000 in funding to Georgia Tech Research Corporation to investigate important problems in quantum topology and its connections with classical topology and hyperbolic geometry. The project will focus on three closely related research directions: the AJ conjecture relating colored Jones and HOMFLYPT polynomials to knot fundamental groups, the development of hyperbolic...
This $473,736 National Science Foundation project grant under the Mathematical and Physical Sciences program (CFDA 47.049) will fund research into the role of symmetry and convexity in isoperimetric-type geometric questions in high dimensions, with potential applications in learning theory and other fields. Principal investigator at Georgia Tech Research Corporation will supervise postdocs, students, and organize seminars to investigate asymptotic geometry questions like the behavior of large...
This federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences Program (CFDA 47.049) supports fundamental research on quantum entanglement and phase transitions at the boundary of quantum and classical physics. The $584,000 award, with a performance period from July 1, 2025 to June 30, 2029, will enable the University of California, San Diego (UCSD) to utilize a combination of analytical tools and numerical simulations to explore these...
This Project Grant award of $360,000 from the National Science Foundation (NSF) Division of Physics under the Mathematical and Physical Sciences program (CFDA 47.049) supports research at George Washington University to study the properties of three-particle quantum systems using lattice QCD (Quantum Chromodynamics) methods. The project aims to improve the theoretical understanding of how strong nuclear forces bind nucleons together in atomic nuclei, by developing new three-body QCD...