Marius Ionescu

Welcome to my web page!

Marius Ionescu Phone: (607) 255-3536
Dept. Fax: (607) 255-7149
Office: 588 Malott Hall
Office Hours:  TBA.
TBA.
Email: mionescu@math.cornell.edu
US Mail: Department of Mathematics,
Cornell University,
Ithaca, NY 14853-4201



I am a visiting assistant professor in the Department of Mathematics at Cornell University.
Previously I have been a John Wesley Young Research Instructor in the Department of Mathematics at Dartmouth College.
I received my Ph.D. at University of Iowa working with Paul Muhly.

My research  interests are in the field of functional analysis, analysis on fractals, operator algebras, dynamical systems, wavelets.
In particular, 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, looking for conditions on a groupoid dynamical system which imply that all primitive ideals of the groupoid crossed product are induced from a stability group, Exel's crossed product, KMS states, noncontractive and infinite Mauldin-Williams graphs, piecewise linear maps, and the category of  $ C^{\ast}$-algebras and $ C^{\ast}$-correspondences.

Here you can download a copy of my CV, Research Statement, and Teaching Statement.
Gpots '08 talk

Publications

"Irreducible representations of groupoid C*-algebras", (with Dana P. Williams), submitted, PDF file .

"Groupoid Methods in Wavelet Analysis", (with Paul Muhly), to appear, Proceedings of the AMS Special Session Honoring the Memory of George W. Mackey, arXiv:0709.2294v1 [math.OA]

$ C^{\ast}$-algebras associated with Mauldin-Williams graphs'', (with Y. Watatani), Can. Math. Bull, to appear, math.OA/0410480.

"Operator algebras and Mauldin-Williams graphs", Rocky Mountain Journal of Mathematics, 37 (2007), no. 3, 829 -- 849. , math.OA/0401408.

"Mauldin-Williams graphs, Morita Equivalence and isomorphisms", Proc. Amer. Math. Soc. 134 (2006), no. 4, 1087--1097 , math.OA/0408433.

Teaching

Spring 2008

Math 311, Introduction to Analysis, MW 0840-0955A Malott Hall 224.

Math 414 Honors Intro to analysis II, TR 0840-0955A Malott Hall 224

Fall 2007

Math 311, Introduction to Analysis, TR 8:40-9:55, 207 Malott Hall

Math 621, Measure Theory and Lebesque Integration, MW 8:40-9:55,230 Malott Hall

Previous classes I taught at Dartmouth College

Winter 2007

Math 8 - Calculus of Functions of one and Several Variables

Math 24 - Linear Algebra

Fall 2006

Math 8 - Calculus of Functions of one and Several Variables

Math 103 - Topics in Analysis

Spring 2006

Math 60 - Probability (Honors section)

Winter 2006

Math 113 - Functional Analysis

Fall 2005

Math 3 - Calculus

Math 20 - Discrete Probability



Last modified on 07/23/2007  by Marius Ionescu