Project Grant 2603847
- The National Science Foundation Directorate for Mathematical and Physical Sciences awarded the Regents of the University of Michigan $300,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to advance research in dynamics, integrability, and control of mechanical and physical systems. The research encompasses the geometry, dynamics, and control of mechanical systems including Hamiltonian and Lagrangian systems, integrable systems, nonholonomic systems...
- The National Science Foundation Division of Mathematical Sciences awarded Michigan State University $270,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to study quantum topology and geometric structures in three-dimensional spaces. The research focuses on mathematical classification of three-dimensional manifolds and knotted structures within them, with particular emphasis on connections between quantum field theory and geometric properties. The...
- The University of Michigan was awarded a $289,997 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support research from July 1, 2021 to June 30, 2024 on the topic "Dynamics, Integratability, and Control of Mechanical and Physical Systems." As part of this work, the University of Michigan will investigate major problems in dynamics, integratability, and control of...
- The National Science Foundation Division of Mathematical Sciences awarded The University of Chicago $300,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop theoretical understanding of extensions of Liouville quantum gravity (LQG). The project runs through July 31, 2029, with performance at the University of Chicago in Chicago, Illinois. Research activities focus on three directions: deeper understanding of the supercritical phase of LQG, which...
- The National Science Foundation Division of Physics awarded the Regents of the University of Michigan $447,691 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop a monolithic quantum optomechanics platform integrating low-loss optical circuits with long-lived acoustic resonators on a single chip. The project will fabricate and characterize wafer-scale photonic-high-overtone bulk acoustic resonator (HBAR) devices combining ultra-low-loss silicon-nitride...
- Federal Project Grant Award Summary The University of Michigan received a $299,863 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) for the period July 1, 2025 through June 30, 2027. This research award supports investigation into integrable nonlinear wave equations and related ordinary differential equations that model large-amplitude wave propagation in physical media, including surface...
- The National Science Foundation Division of Mathematical Sciences awarded The Leland Stanford Junior University $611,138 under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) from July 1, 2023 to June 30, 2026. The Project Grant funding will support research developing and applying methods in microlocal analysis to problems involving wave propagation, inverse problems determining material structure from surface measurements, and imaging through cosmic background...
- The National Science Foundation Division of Mathematical Sciences awarded The Leland Stanford Junior University $199,999 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop and apply microlocal analysis methods in geometric settings, with performance through June 30, 2028, at Palo Alto, California. The award supports research in microlocal analysis—a field that simultaneously tracks position and frequency (or momentum) of waves and functions—with...
- Federal Project Grant Award Summary The National Science Foundation (NSF) Division of Physics awarded $350,077 to the University of Michigan under the Mathematical and Physical Sciences program (CFDA 47.049) on December 1, 2025, with completion targeted for November 30, 2028. This collaborative research project, conducted in partnership with Columbia University, West Virginia University, and New York University, investigates wave-particle interactions in three-dimensional magnetic...
- This $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research aimed at advancing the mathematical analysis of nonlinear partial differential equations. The research has three main focus areas: (1) studying fluid dynamics problems with free boundaries, such as water waves, tsunamis, and hurricanes; (2) investigating the dynamics of gases and plasmas under physical kinetic boundary conditions,...
The National Science Foundation Division of Mathematical Sciences awarded $300,000 to the Regents of the University of Michigan on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate geometric analysis and partial differential equations arising in general relativity and quantum physics. The research develops mathematically rigorous methods to understand the dynamics and structures of partial differential equations describing physical phenomena at both large and small scales. The project connects gravitational-wave observations from experiments such as LIGO/VIRGO and NanoGrav with quantum electrodynamics phenomena, establishing unifying mathematical frameworks that bridge general relativity and quantum physics. Work encompasses theoretical investigations of black holes, gravitational dynamics, and memory phenomena in quantum systems, with results applicable to GPS technology and emerging quantum computing applications. The project strengthens workforce development through training of postdoctoral researchers, graduate students, and students at all levels. Public engagement includes accessible talks, online content, and public events communicating research findings to broad audiences, with dissemination through academic publications and online media. Performance occurs at the University of Michigan in Ann Arbor, Michigan, from September 1, 2026, through August 31, 2029. The University of Michigan receives funding through its Office of Research and Sponsored Projects Division.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $300.0k | 7/27/26 |