#
Tom Cooney - Research

__Name:__ Tom Cooney

__Office:__ 454 Plaza De Ciencias, 3, Universidiad Complutense De Madrid

__Email:__
__tomcooney1@gmail.com__

I graduated with a Ph.D. in Mathematics from the University of Illinois in August 2010. I currently hold a postdoctoral position at the Institute for Interdiscipinary Mathematics at the Universidad Complutenese de Madrid. My research interests lie in functional analysis, especially operator algebras and operator spaces. I am currently interested in the application of operator space theory to problems in quantum information theory and quantum game theory. I am also interested in noncommutative harmonic analysis and how ideas from harmonic analysis on groups can be extended to harmonic analysis on quantum groups. My Ph.D. thesis was on this subject. My thesis advisor was
Professor Zhong-Jin Ruan.

Before coming to the University of Illinois, I was at University College Cork, National University of Ireland,
Cork.
### My research interests include:

Operator algebras and operator spaces
Quantum Information theory
Quantum Game theory
The operator algebra approach to quantum groups
Non-commutative L_{p} spaces and their vector-valued counterparts
Approximation properties for operator algebras
Operator algebras generated by q-Gaussian operators or the corresponding creation operators