Project Grant 2410645
- This $181,162 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research on spectral theory and edge states in topological insulators. The research team at Auburn University is developing mathematical methods to measure the number of edge states in these materials, which have potential applications in low-energy electronics. The project aims to derive explicit formulas for the number of eigenvalues...
- This $150,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) will support research into inverse electromagnetic scattering theory for complex periodic media, including photonic and chiral photonic crystals. The primary objective is to simulate wave-material interactions and reconstruct defects in these materials using measurements of scattered waves. This research will contribute to the development of new...
- This Project Grant award of $140,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research on spectral theory and edge states in topological insulators. The principal investigators will develop mathematical methods to measure the number of edge states in the energy gaps of topological insulators, which are a class of materials with important applications in low-energy electronics. The research focuses on...
- The National Science Foundation (NSF) has awarded a $600,000 Project Grant to Auburn University under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The project, titled "Cross-Interface Polaritons with Mixed Dimensions and Reduced Symmetry," will advance the understanding of nano-polaritons, which are waves that combine light and matter, and explore their behavior when moving across materials of different shapes and sizes. This research aims to enable...
- This $193,584 Project Grant awarded by the National Science Foundation under the Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research at Auburn University exploring the connections between algebra, geometry, and theoretical physics. The research aims to develop new mathematical tools that bridge algebra and geometry, with a focus on advancing understanding in multigraded commutative algebra, toric geometry, and symplectic geometry. The project will also create...
- This Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research at Auburn University to develop high-order energy-stable embedded boundary methods for accurate computations of compressible viscous flows. The $290,000 award, effective from September 15, 2025 to August 31, 2028, will enable the development of computational approaches to simplify the handling of practical geometric boundaries while ensuring...
- The National Science Foundation (NSF) awarded a $143,240 Project Grant under the Integrative Activities program (CFDA 47.083) to Auburn University from October 1, 2023 to September 30, 2026. This grant will support research at the intersection of geotechnical engineering and structural mechanics to realize flexible burrowing probes for applications such as site investigation and underground excavation. The research aims to provide an understanding of the microscopic and macroscopic...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $250,136 to Auburn University from August 15, 2025 to July 31, 2028. The award supports fundamental research focused on two core themes: the optimal decomposition of a graph's edges into matchings, and the Hamiltonicity problem in "tough" graphs with certain expansion properties. The research aims to advance knowledge in combinatorial theory with...
- This $275,000 Project Grant awarded by the National Science Foundation's (NSF) Division of Mathematical Sciences supports the development of novel approaches to solving inverse problems. The goal is to enhance the accuracy and efficiency of computational methods used in critical applications like electrical impedance tomography, inverse scattering, and cryo-electron microscopy. This research has the potential to accelerate breakthroughs in molecular biology and rapid drug development, directly...
- This Project Grant award for $384,772 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program supports fundamental theoretical research and education on the transport of electric charges and heat in disordered materials. The research focuses on two key areas: 1) understanding the physical mechanisms causing the metal-insulator transition in disordered electron liquids, and 2) investigating the interplay of disorder and strong electron-electron interactions near...
This $150,000 federal Project Grant award from the National Science Foundation's (NSF) Integrative Activities (IA) program will support computational research at Auburn University for developing efficient algorithms to address inverse and optimal design problems in topological wave insulators. The project aims to provide new computational frameworks to analyze the spectral properties of partial differential equation models for topological wave insulators, with the goal of improving the performance and functionality of these specialized materials used for transporting wave energy. Key focus areas include optimizing the design of Dirac points, identifying interface parameters for edge modes, and maximizing band gaps to enlarge the spectral bandwidth of edge modes. The award period is from July 1, 2024 to June 30, 2027. No subawards are planned under this grant.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $150.0k | 6/4/24 |