Project Grant 2510344
- 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 model and measure the number of edge states that enable low-resistance electronic transport in these materials, which have applications in low-energy electronics. The research focuses on analyzing...
- 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...
- This Project Grant award, provided by the National Science Foundation (NSF) under its Mathematical and Physical Sciences program (CFDA 47.049), supports research and education to advance the understanding of quantum geometric effects in interacting electron systems, with a focus on topological insulators. The $270,000 award, spanning from September 1, 2025 to August 31, 2027, will investigate the interplay of quantum geometry, band topology, and electron interactions in topological materials....
- This federal Project Grant award, valued at $149,000.00 and awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049), supports research exploring the mathematical structure underlying topological insulators - materials that conduct electricity on the surface but not in the interior. The research aims to advance fundamental scientific understanding of these systems and their practical implications for quantum computing and nanotechnology....
- This $534,746 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research by The Research Foundation for the State University of New York at Binghamton to investigate the electronic properties of magnetic topological insulators. The project aims to directly visualize the distinct electronic states that occur at the surfaces, edges, and corners of these unique quantum materials using scanning tunneling microscopy. The...
- This $164,403 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research to investigate photonic topological insulators involving sharp interfaces and edges. The project aims to characterize the behavior of edge states in these materials, which can enable the development of compact and efficient on-chip devices for communication, data processing, and other photonic applications. Key objectives include identifying...
- This $200,000 National Science Foundation (NSF) award under the Mathematical and Physical Sciences program (CFDA 47.049) supports a collaborative research project led by the University of California, Berkeley to develop and harness quasi-one-dimensional topological materials for novel electronic, optoelectronic, and sensing functionalities. The project aims to overcome current limitations of topological insulators by focusing on quasi-1D materials, which have the potential to enable new...
- The National Science Foundation awarded a $472,826 Project Grant to the University of Texas at Austin under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on tailoring and probing the electronic and magnetic structures of engineered magnetic topological insulators. The three-year award beginning September 1, 2022 will support controlling the layer-by-layer formation of magnetic topological insulator and magnetic topological insulator/topological insulator...
- This $282,000 Project Grant awarded by the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports theoretical research and educational activities to advance the understanding of topological materials. The funding will be used by the University of Illinois to: Develop new mathematical frameworks for describing the connection between symmetry and topology in solid materials, with the goal of discovering new topological materials. Additionally, the project...
- This three-year Project Grant from the National Science Foundation's Mathematical and Physical Sciences program provides $729,992 to Penn State University to explore emergent magnetic topological states in three-dimensional magnetic topological insulator multilayers. The researchers will employ magnetic topological insulators as primary building blocks to construct heterostructure multilayers and investigate the resulting quantum phenomena. Combining experimental probes with theoretical modeling...
This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $181,162 to Auburn University to conduct collaborative research on spectral theory and edge states in topological insulators. Topological insulators are an emerging class of low-energy consumption electronic materials that exhibit insulating properties in their bulk but allow wave propagation along their edges, enabling novel, ultra-low resistance electronic transport. The primary research goals are to develop mathematical methods for quantifying the number of edge states in these materials based on the physical models of the topological insulators. This includes deriving explicit formulas to identify eigenvalues corresponding to edge states within the spectral gaps, using mathematical tools from symplectic geometry such as the Maslov index. The research aims to shed new light on the bulk-boundary correspondence in topological insulators and provide insights to support the development of advanced, low-power electronics technologies. The award period runs from August 1, 2025 to July 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $181.2k | 7/18/25 |