Operator Theory and Operator Algebras are concerned with the study of linear operators, usually on vector spaces whose elements are functions. The subject is analysis, but because the vector spaces are usually infinite dimensional, the subject has a nice blend of techniques from other areas of mathematics, ranging from algebra to topology to dynamical systems.

There is a weekly seminar, meeting at 3:30 on Wednesdays, and there is a student-run Operator Theory Reading Seminar.

Faculty

Allan Donsig has interests in structural results for nonselfadjoint operator algebras and applications of inverse semigroups to operator algebras. Recent papers are on such topics as coordinatization results, amalgams of inverse semigroups, tight C*-algebras, and describing Cartan MASAs in von Neumann algebras in terms of inverse semgroup extensions. More information, including recent papers, are on Allan's homepage.

Adam Fuller's research is in Operator Theory and Operator Algebras. In particular Adam works on dilation theory of representations, semicrossed product algebras and the nonself-adjoint algebras arising from graphs and k-graphs.

David Pitts has interests in coordinatization of operator algebras, operator space theory, free semigroup algebras (a non-commutative analog of analytic functions in several variables) and nest algebras.

Graduate Students

Derek DeSantis David Pitts

Philip Gipson David Pitts

Jeremy Parrott David Pitts

Travis Russell Allan Donsig

Christopher Schafhauser Allan Donsig and David Pitts