Re: I want to study noncommutative geometry

From: David Bernier (david250_at_videotron.ca)
Date: 02/10/05 

Date: Thu, 10 Feb 2005 16:49:01 -0500

unifey@yahoo.com wrote:
> Hi.
>
> I am a first year grad student in Physics, but after I get my masters,
> I am looking forward to get my Ph.D. in math in the field of
> noncommutative geometry. Unlike physics, I don't have a general idea
> regarding the typical curriculum in mathematics. So could anyone give
> me some advice on, for example, which schools I should consider
> applying, who are doing active research on noncommutative geometry, and
> which subjects in math I need to study as a prerequisite? Thanks in
> advance!
>
> Matt

Alain Connes wrote a book on non-commutative geometry.

Vaughan Jones (University of California, Berkeley) and
Henri Moscovici (Ohio State University) reviewed his book
in the August 1997 issue of the Notices of the AMS.

According to the reviewers, the prerequisites include
operator algebras (C^*-algebras and von Neumann algebras);
Before studying operator algebras, it's good to study
functional analysis, measure theory and general topology.

David Bernier

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