Project Grant 2510769
- This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $554,000.00 to The Trustees of Columbia University in the City of New York to develop a new terahertz-based spectroscopy technique for studying unusual quantum behaviors in moire materials. The research aims to create a tool capable of closely examining the low-energy properties of these advanced layered materials, which could enable future breakthroughs in...
- This Project Grant award of $350,000 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports the development of robust and efficient numerical algorithms for solving nonlinear wave equations. The project aims to advance fundamental research and enable wide-ranging applications in areas such as geophysics, plasma physics, and quantum science, where accurate wave prediction is critical. The primary computational challenges being addressed...
- This Project Grant award of $300,000 from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will fund research and education focused on the study of novel materials with strong interactions between particles. The research aims to develop new theoretical tools to better understand and predict the unusual behaviors of strongly interacting metals, which exhibit phenomena like high-temperature superconductivity that challenge current theories....
- This Project Grant award of $300,000.00 from the National Science Foundation (NSF) Mathematical and Physical Sciences program supports collaborative research on non-linear responses in quantum materials. The project aims to develop theoretical frameworks for understanding how electrons in materials behave when driven far out of equilibrium, which can provide new insights into the underlying quantum dynamics and guide the search for novel quantum materials and functionalities. Key research...
- This Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $209,000 to the University of Pittsburgh to support research investigating nonlinear waves in lattices and metamaterials from August 1, 2022 to July 31, 2025. The award aims to advance fundamental understanding of energy transfer phenomena associated with wave propagation in spatially discrete systems, which is important for...
- This $475,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will fund research to investigate the quantum properties of optical parametric oscillators. The goal is to determine if the standard quantum noise limit in these light sources can be surpassed, which would enable even greater precision and stability for applications like quantum networking, quantum computing, and atomic clocks. The 3-year project, running from...
- This $200,000 Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) supports research on linear partial differential equations in settings with singular spaces, such as wave propagation in discontinuous media. The principal investigator at Northwestern University will investigate fundamental questions regarding the behavior of wavefunctions in quantum mechanics and acoustic waves in media with non-smooth...
- This $260,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research at Harvard University on interacting topological bands in moire superlattices. The principal investigator aims to leverage recent advances in engineered moire materials to explore connections between the microscopic properties of individual electrons and the macroscopic behavior of interacting electron systems. The research seeks to establish...
- This Project Grant award, valued at $157,021.00 and provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049), focuses on quantitative analysis of high-contrast composite materials. The Principal Investigator will conduct research to develop new mathematical methods to address open problems in modeling and analyzing the behavior of these materials, which have diverse applications in bioengineering, medical imaging, and electronics. Key...
- This $120,000 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research to develop new mathematical tools for analyzing the electronic and physical properties of novel twisted two-dimensional semiconductor and graphene materials. The project aims to advance the semiclassical analysis of matrix-valued Schrödinger operators in these systems, which exhibit rich spectral and topological features, particularly at small...
This Project Grant award of $275,000 from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research at Columbia University focused on developing analytical and computational methodologies for predicting phenomena in novel quantum materials and metamaterials. The Principal Investigator aims to advance the understanding of wave propagation and nonlinear interaction dynamics in these materials, with a focus on topics including energy transport in 2D materials, the pseudo-magnetic effect in deformed wave media, and nonlinear dispersive wave propagation in discrete and continuous media with novel lattice structures. This research seeks to expand knowledge at the intersection of applied mathematics and the applications of wave physics, with potential implications for emerging communication and computing technologies. The award period runs from September 1, 2025 to August 31, 2027.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $275.0k | 7/18/25 |