Research Interest:

Analysis on manifolds -- Noncommutative Geometry – Pseudodifferential operators  – Mathematical physics

CV

Research works:

Published or accepted for publication:

• Spectral triples and manifolds with boundary (with B. Iochum), Journal of Functional Analysis 260 (2011), 117-134. pdf

 

• Tadpoles and commutative spectral triples (with B. Iochum), Journal of Noncommutative Geometry 5 (2011), 299-329. pdf

 

• Spectral action on SU_q(2) (with B. Iochum and A. Sitarz), Communications in Mathematical Physics 289 (2009), 107-155. pdf

 

• Spectral action on noncommutative torus (with D. Essouabri, B. Iochum and A. Sitarz), Journal of Noncommutative Geometry 2 (2008), 53-123. pdf                                                  

 

Preprints and projects:

• Local index formula for group C*-algebras (with E. Ortega), in preparation.

 

• Spectral action for torsion with and without boundaries (with B. Iochum and D. Vassilevich), preprint (2010). pdf

 

• Pseudodifferential operators on manifolds with linearization, preprint (2009). pdf

 

PhD Thesis:

• Spectral action in noncommutative geometry and global pseudodifferential calculus, PhD Thesis, Université de Provence, 2009. arxiv link 

 

Teaching:

• Block 2C, 2009/2010: Riemannian Geometry

• Block 3A 2009/2010: Differential geometry

• Block 2B 2010/2011: Differential geometry

• Block 4B 2010/2011: Riemannian Geometry

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