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 Thusdays, 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.

**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.

**Christopher Schafhauser** has interest in the structure and classification theory of nuclear (a.k.a. amenable) C*-algebras. Other interests include crossed product C*-algebras, graph C*-algebras, and connections between operator algebras quantum information theory..

## Current Graduate Students

Jordan Crawford

Advised by: Chris Schafhauser

Greg Faurot

Advised by: Chris Schafhauser

Sean Gravelle

Advised by: David Pitts

Valerie Morris

Advised by: Chris Schafhauser

Stephanie Prahl

Advised by: David Pitts

Catherine Zimmitti

Advised by: David Pitts

## Recent Graduates

Juliana Bukoski (PhD 2021)

Advised by: Allan Donsig

Robert Huben (PhD 2021)

Advised by: David Pitts and Mark Brittenham

Derek DeSantis (PhD 2019)

Advised by: David Pitts

Mitch Hamidi (PhD 2019)

Advised by: Allan Donsig

Lara Ismert (PhD 2019)

Advised by: Allan Donsig and David Pitts

Travis Russell (PhD 2017)

Advised by: Allan Donsig

Philip Gipson (PhD 2015)

Advised by: David Pitts

Christopher Schafhauser (PhD 2015)

Advised by: Allan Donsig and David Pitts

Firuz Kamalov (PhD 2011)

Advised by: Allan Donsig

William Grilliette (PhD 2011)

Advised by: David Pitts