I am a Professor in the
Pure Mathematics Department of the University of Waterloo.
I did my undergraduate
studies in the Mathematics Faculty of the University of Bucharest,
Romania, and the PhD Degree in the Mathematics Department of the
University of California at Berkeley, under the supervision of
Dan-Virgil Voiculescu. My research interests are in
noncommutative probability and operator algebras, particularly
their connections to combinatorics and classical probability.
My current line of research is in an area called ``free probability.''
 
 
  Some more information about me can be
found in my CV (pdf file).
  Here is my list of
Publications.
Most of my papers are posted on the
arXiv database.
Various links and announcements
***
Slides for a minicourse on "Cumulants in Free Probability" that I gave
The minicourse consisted of three lectures:
Lecture 1: Review of three brands of cumulants, from the
perspective of set-partitions.
The recording of the lectures is posted on the
YouTube Channel of the summer school.
***
 
Supervision of USRA Awards.
 
For the various deadlines and for details on the application process, check this
Pure Math Undergraduate link.
 
During a USRA Term under my supervision, you are expected to
read and make presentations of expository and/or research
papers on a given topic, and to write an essay demonstrating the
insights which you gained while studying that topic.
 
Some examples of such essays, written by USRA
students in preceding years:
 
Fan Huang,
Spring Term 2014 (supervised jointly with Bruce Richmond).
 
Alex Gatea and Simon Huang,
Spring Term 2017 (supervised jointly with Ian Goulden).
 
Leon Witzman,
Spring Term 2020.
***
Here is a picture of me (while teaching a course of
introduction to free probability, in Winter Term 2011).
during an
RMMC Summer School
at the University of Wyoming, June 2022.
Lecture 2: Interpolation between free and Boolean cumulants,
via convolution of semi-multiplicative functions.
Lecture 3: The group G, the Hopf algebra Sym,
and multiplication of free random variables.
Last modified: December 2022.