Analysis is a broad area of mathematical research. Analysis at Mississippi State University primarily focuses on functional analysis and noncommutative geometry. The faculty are primarily interested in classifying unbounded derivations in C*-algebras so that they could be potentially lifted to a GNS Hilbert space and possibly lead to spectral triples in noncommutative domains. Moreover, identifying abstract C*-algebras with concrete representations is an area of interest. The main tools utilized are operator algebras, K-theory, K-homology, and spectral analysis of unbounded operators.
Faculty
- Matt McBride - functional analysis and noncommutative geometry
- Snehalatha Ballamoole - functional analysis and operator theory