Réamonn Ó Buachalla

Postdoctoral researcher, Institute of Mathematics of the Polish Academy of Sciences

About me

I’m a postdoctoral researcher in mathematics, based at l’Université libre de Bruxelles, as part of Joost Vercruysse’s group. I was previously a postdoc at the Institute of Mathematics of the Polish Academy of Sciences in Warsaw, where I was a member of the noncommutative geometry group. Before that I was a postdoc of the Eduard Čech Institute at the Charles University in Prague. I got my PhD at Queen Mary, University of London, under the supervision of Prof. Shahn Majid.

My Research

My principal area of research is the noncommutative geometry of quantum groups and their quantum homogeneous spaces, and in particular quantum flag manifolds. The approach used involves a mixture of Hopf algebras, homological algebra, complex and Kähler geometry, and operator algebras. The main goal is to see how this family of algebras can be used as a point of communication between the various approaches to noncommutative geometry.

Contact Information

Département de Mathématique
Université Libre de Bruxelles
Campus de la Plaine
Boulevard du Triomphe
B-1050 Bruxelles - Belgium

email: reamonnobuachalla@gmail.com

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Réamonn Ó Buachalla
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Réamonn Ó Buachalla
Research
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