Department / Division
- Faculty-Mathematics
- Administration
Title
- Associate Professor of Mathematics
- Undergraduate Academic Coordinator
Contact
Email: mmcbride@math.msstate.edu
Phone: 662-325-7139
Address
- Allen 419
Research interests: Functional analysis, noncommutative geometry, and operator theory.
Author Profile on MathSciNet
Research Description
I am an analyst specializing in functional analysis and operator theory. My main area of interest focuses on noncommutative geometry. The problems I currently study revolve around identifying abstract C*-algebras with concrete representations usually identifying them first with a crossed product. In addition to that, I am interested in studying smooth subalgebras of such objects, classifying derivations on those subalgebras and see if they can be lifted to an operator to form a spectral triple. I am also interested the K-theory and K-homology of these objects, with the ultimate goal of constructing noncommutative manifolds.
Degree: Ph.D. in Mathematics, 2012, Department of Mathematics, Purdue University
Curriculum Vitae: Dr. McBride's CV