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I want to PhD in operator algebras and non-commutative geometry. What are the best places in the world for that? I want a good research group rather than some single or two persons working in that area. And I will prefer anywhere in Europe.

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Texas A&M. Not in Europe, but hard to beat. –  Kevin Beanland Mar 13 '13 at 13:57
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Kevin, I think TAM is great for op alg, but NCG? Really? –  Yemon Choi Mar 13 '13 at 16:36
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Find out what kind of problems you want to work on...then pick where to go. OA and NCG is not specific enough, in my opinion. –  Jon Bannon Mar 24 '13 at 20:32
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1 Answer

Alain Connes is currently Professor at the Collège de France. Shoot big and go for the gold, I'd say.

otherwise, a team that has done some great work in synthesizing noncommutative geometry with other fields has been the Free University in Brussels. They have an amazing program there with prodigous output.

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The formulation 'at the Collège de France, IHES' is in my opinion confusing and possibly based on a misunderstanding. He is at the Collège de France and at the IHES (and somewhere in the US, too, I think). In any case the Collège de France is one thing the IHES a different one. –  quid Mar 13 '13 at 13:59
    
@quid: You are right. I hadn't meant to put IHES, but I had wanted to get the accent and just copied the name so I'd use the right Unicode. I had accidentally copied too much and didn't notice. I didn't want the post grad research institute. :( –  ex0du5 Mar 13 '13 at 14:38
    
il est à Vanderbilt –  Andrew Stout Mar 13 '13 at 14:57
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Here are some places in Europe with very good and reasonably big research groups in operator algebras and non-commutative geometry: - Paris Jussieu (G. Skandalis,M. Hilsum, A. Zuk, E. Blanchard, etc.); - Orléans (V. Lafforgue, J. Renault, etc.); - Metz (J.-L. Tu, M. Benameur, H. Oyono, etc.); - Marseille (Puschnig, etc.); - Muenster (J. Cuntz, S. Echterhoff, etc.); - Goettingen (R. Meyer,etc.); - Coppenhagen (R. Nest, Kirchberg, etc.). –  Mkouboi Mar 13 '13 at 15:41
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penn-state in usa paul baum is there,vanderblit jones,kasparov,connes spends few months there.In UK there is lancaster university(martin lindsay,many others check their website),glassgow(joachim zacharius), cardiff university(David E.Evans) these are all I know. –  Koushik Mar 14 '13 at 1:05
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