My main research area is C*-algebras, which is a subfield of Functional Analysis.
In the past few years I have been focusing on groupoids and their C*-algebras.
Ph.D. work, Titled "Taking groupoid C*-algebras to the limit", I
studied groupoids for open covers, their C*-algebras and limits.
This research, which is in part joint work with
is part of a more ambitious project I hope to pursue: Study the Brauer theory of
continuous trace C*-algebras, via carrying out classical results and phenomena from
the well developed Brauer theory for fields.
In recent work in progress, I started exploring various connections between groupoid
C*-algebras and fractal geometry, in collaboration with
Michel Lapidus at UCR.
Simultaneously, I have been working lately with a group led by
John Baez at UCR, on
a project titled "groupoidification". More specifically, I am working with
Daniele Grandini and
on extending the ideas of groupoidification from the discrete setting to the realm of topology and measure theory.
Here are slides from my recent talk,
titled "Towards Topological Groupoidification".
I have also been looking into certain roles of groupoids in von-Neumann algebra theory.
Previously, in my M.Sc. thesis, I investigated Lie ideals in nest subalgebras of
I am not teaching this semester. Here are details about my past teaching experience.
As a PhD student I was lecturing and prior to that a TA at the Technion, teaching a variety of courses.
My courses have been selected twice and recorded in full for the
Technion video library.
I am married to Efrat, and father of Ofek, Noga, and Almog.
Address : School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel