Marius Ionescu

Visiting Assistant Professor of Mathematics

Web Site www.math.cornell.edu/~mionescu Contact Information Office:  588 Malott Hall Phone:  (607) 255-3536 Fax:  (607) 255-7149 Email:  mionescu@math.cornell.edu Courses & Office Hours

Education

Ph.D. (2005) University of Iowa

Research Area: functional analysis, analysis on fractals, operator algebras, dynamical systems, harmonic analysis, wavelets

My work involves the interaction between operator theory/algebra and irreversible dynamical systems. I study the properties of operator algebras (self-adjoint and non-self-adjoint) associated with Mauldin-Williams graphs and the dynamical systems they determine. Some problems I am currently pursuing include groupoids associated with dynamical systems and wavelets, analysis on fractals and connections with operator algebras, conditions on a groupoid dynamical system which imply that all primitive ideals of the groupoid crossed product are induced from a stability group, noncontractive and infinite Mauldin-Williams graphs, and the category of C*-correspondences.

Selected Publications

Mauldin-Williams graphs, Morita Equivalence and isomorphisms, Proc. Amer. Math. Soc. 134 no. 4 (2006), 1087–1097.

Operator algebras and Mauldin-Williams graphs, Rocky Mountain J. Math. 37 no. 3 (2007), 829–849.

C*-algebras associated with Mauldin-Williams graphs (with Y. Watatani), Can. Math. Bull. (to appear).

Groupoid Methods in Wavelet Analysis (with Paul Muhly), Proceedings of the AMS Special Session Honoring the Memory of George W. Mackey (to appear).

Last modified: September 18, 2007