Project Grant 2510345
- 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 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...
- 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 $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...
- The National Science Foundation awarded a $436,585 Project Grant to the Massachusetts Institute of Technology under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to support theoretical and computational research on novel phenomena in electronic insulators and related quantum Hall systems from September 1, 2022 to August 31, 2025. Specifically, the award will fund the development of new theoretical concepts and field theoretic methods to describe strongly...
- 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 $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 (NSF) awarded a $399,999 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to the University of Texas at Dallas (UTD). The funding supports a collaborative research project to develop and harness quasi-one-dimensional topological materials for novel electronic, optoelectronic, and sensing functionalities. The project aims to overcome key challenges in current topological insulator materials by focusing on quasi-one-dimensional...
- 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 $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 $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 discrete boundary value problems for tight-binding Hamiltonians using tools from symplectic geometry, with the goal of deriving explicit formulas to quantify the edge states and their relationship to the band structure. This work is being conducted at Texas A&M University, a research-intensive institution with expertise in advanced scientific research and development for federal agencies.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $140.0k | 7/18/25 |