Blekinge Institute of Technology, Sweden
Research Areas:
Noncommutative Geometry and Graded Structures
Blekinge Institute of Technology, Sweden
Research Areas:
Noncommutative Geometry and Graded Structures
Short Research Summary:
My research is centered on noncommutative geometry, with an emphasis on developing operator-algebraic models of geometric structures.
A guiding theme is the noncommutative formulation of the principal-bundle framework of geometry using C*-algebraic methods.
Complementing this analytic viewpoint, I study these constructions algebraically via graded structures—such as graded rings—and explore their connections with Fell bundles, graph C*-algebras, and groupoid C*-algebras.
Introductory book/lecture notes:
Héctor Figueroa, José M. Gracia-Bondía, Joseph C. Várilly, Elements of Noncommutative Geometry
Constantin Năstăsescu, Freddy Van Oystaeyen, Methods of Graded Rings
Mentee Assessment:
The assessment will be done over an online meeting.