Project Grant 2247313
- The National Science Foundation awarded a $112,231 project grant to Texas A & M University under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support research into the regularity properties and K-theory of crossed product operator algebras from June 2021 through May 2024. The Mathematical and Physical Sciences program aims to strengthen the nation's scientific enterprise through advancing knowledge and understanding of major problems in mathematics and...
- The National Science Foundation awarded a $249,460 project grant to Texas A&M University from July 1, 2021 to June 30, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The university will research the geometry of graphs and Banach spaces over this three-year period. The Mathematical and Physical Sciences program aims to advance these fields and strengthen the nation's scientific enterprise through increased knowledge and understanding of major problems. This...
- This three-year project grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $303,805 to Texas A&M University to apply methods from combinatorial algebraic geometry to problems in spectral theory from mathematical physics. Specifically, the principal investigator (PI) will use algebraic geometry to study the spectrum of discrete periodic operators, an area with many open questions. The PI will also work to classify Galois groups...
- The National Science Foundation awarded a $413,959 Project Grant to Texas A&M University from July 1, 2021 to June 30, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports collaborative research on non-perturbative analysis for multi-dimensional quasiperiodic systems. The Mathematical and Physical Sciences program aims to advance scientific knowledge and understanding in these fields. Under this award, Texas A&M University researchers will work to...
- This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) totaling $150,000 will fund research at Texas A&M University from August 1, 2025 to July 31, 2027. The project is focused on studying a family of 3-manifold invariants constructed from the Virasoro Topological Quantum Field Theory (TQFT) and their asymptotic behavior, as well as investigating properties of fundamental shadow link complements. The research aims to advance the...
- This three-year project grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $270,908 to Texas A&M University to develop mathematical tools for investigating phenomena in solid-state physics, condensed matter physics, and optics. The university will explore both linear and nonlinear Hamiltonian systems through techniques such as semi-algebraic geometry, mathematical physics, and...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) provides $210,548 to the University of New Mexico (UNM) to conduct research on concrete K-theory operations for topological physics. The key focus is on developing new mathematical techniques based on operator algebras to detect and measure the stability of waves in quantum materials. This research aims to create innovative software tools that can be used...
- This $299,996 Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental mathematical research by a team at Utah State University. The project aims to develop new algebraic and geometric tools to formalize and advance the mathematical theory underlying quantum physics, particularly in low-dimensional topology and the theory of quantum invariants. The key products and...
- The National Science Foundation awarded a $199,581 Project Grant to Texas A&M University under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The grant supports research focused on using curvature-like inequalities to study the distortion of geometric structures when mapped into curved spaces. The research aims to develop new metric invariants that capture the geometry of graphs and characterize local and asymptotic properties of Banach spaces. The project will...
- This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $194,902 to Texas A&M University under the Mathematical and Physical Sciences program (CFDA 47.049) to study the quantum symmetries of topological phases of matter. The investigator will classify and distinguish topological phases through their mathematical symmetries, probe their properties, and understand relationships between phases through transitions. Some emphasis will be placed on...
The National Science Foundation awarded a $368,340 Project Grant to Texas A&M University under the Mathematical and Physical Sciences program (CFDA 47.049) for work on "Quantitative Operator K-Theory and Applications." The Principal Investigator and students will develop quantitative operator K-theory to investigate problems at the intersection of noncommutative geometry, classical geometry, topology, and mathematical physics. They will focus on applying quantitative operator K-theory techniques to problems in higher index theory of differential operators, behavior of scalar curvature, norm stability of almost representations, and the universal coefficient problem in C*-algebra structure theory. This work will contribute to US workforce development through graduate and postdoctoral student mentoring. The period of performance is from June 1, 2023 through May 31, 2026.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $368.3k | 3/31/23 |