This federal Project Grant award, funded by the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049), seeks to advance the understanding of semigroups within the framework of operator algebras, an important area of mathematical analysis. The $254,546 award, effective from September 1, 2024 to August 31, 2027, will support research to develop new theories and methods for studying semigroups and their associated operator algebras through their representations, boundaries, and dynamics. The project aims to characterize boundary representations and calculate the C*-envelope of universal non-self-adjoint semigroup operator algebras, as well as build a general framework to study two-sided semigroup actions motivated by mathematical physics. The project will also investigate the representation theory of Artin semigroups to contribute to multivariable operator theory and non-commutative geometry. In addition to the research, the project will foster international collaboration, enhance the research culture at New Mexico State University, and provide training for graduate and undergraduate students, with an emphasis on including students from underrepresented groups.
Mod # | Description | Reason For Modification | Federal Obligation (Click to sort descending) | Date (Click to sort ascending) |
|---|---|---|---|---|
| Not listed | $254.5k | 8/13/24 |