Rice University was awarded a $294,000 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) to support the project "Spectral Theory and Quantum Dynamics" from July 1, 2021 to June 30, 2024. Under this award, Rice University researchers will conduct work related to spectral theory and quantum dynamics to promote progress in mathematical and physical sciences and strengthen the national scientific enterprise. The funding will...
This federal Project Grant award, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Program (CFDA 47.049), aims to advance the fundamental understanding of quantum mechanics and disorder in physical systems. The $291,253 award to William Marsh Rice University will support research to establish new theoretical results for Schrödinger operators with ergodic potentials, which are relevant in quantum mechanics and approximation theory. The project seeks...
Rice University was awarded a $225,000 Project Grant from the National Science Foundation Division of Mathematical Sciences on April 1, 2021 to support research titled "Algebraic Quantum Symmetry" through March 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 nation's scientific enterprise through increasing knowledge and enhancing understanding of major problems. Under...
William Marsh Rice University was awarded a $588,816 Project Grant from the National Science Foundation Division of Physics on July 15, 2021, with a completion date of June 30, 2024. The grant is being used to support the "RYDBERG SYNTHETIC DIMENSIONS: A NEW SIMULATOR FOR QUANTUM MATTER" project under the Mathematical and Physical Sciences program (CFDA 47.049). The project aims to develop a new quantum simulator using Rydberg atoms to model quantum systems and advance understanding of...
The National Science Foundation Division of Physics awarded Rice University a $300,000 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to conduct research on manipulating spinor quantum gases from July 1, 2022 to June 30, 2025. The university will study the interplay between spin and charge degrees of freedom in one-dimensional spinor quantum gases, simulate lattice gauge theory and Dirac strings using spinor condensates, and examine multicritical...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports the development of a new quantum simulation platform at William Marsh Rice University. The $182,905 award, effective January 1, 2025 through December 31, 2027, will enable the research team to construct an optical tweezer assembly for studying the dynamics of interacting quantum systems in synthetic dimensions. The goal is to use this platform to investigate...
This $475,000 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program will support theoretical research and education on the physics of strongly correlated quantum materials at William Marsh Rice University from September 2022 through August 2025. Specifically, the Principal Investigator will apply and develop theoretical methods to study quantum criticality in heavy fermion systems, novel phases that emerge near quantum critical points such as candidate...
This $200,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research on harmonic analysis and wave behavior. The principal investigator will work on several interconnected projects, including: Investigating weighted L2 estimates and their applications to LP problems in harmonic analysis, such as the pointwise convergence problem for the planar Bochner-Riesz means and the LP behavior of the maximal...
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 $270,908 to Texas A&M University to develop mathematical tools for investigating phenomena in solid-state physics, condensed matter physics, and optics. The university will explore both linear and nonlinear Hamiltonian systems through techniques such as semi-algebraic geometry, mathematical physics, and...
This National Science Foundation project grant of $428,169 supports research in harmonic analysis and partial differential equations at the University of Illinois from August 2022 through July 2025. The award is funded through the Mathematical and Physical Sciences program (CFDA 47.049). The project involves foundational research in harmonic analysis and analysis of partial differential equations with a focus on long-time dynamical properties and decay estimates. Specific areas of study...