Cyril Levy 

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Welcome, I am a postdoctoral researcher in Noncommutative Geometry and Geometric Analysis at the Department of Mathematics, University of Potsdam.


Postal (Work) Address:

  Institüt für Mathematik
  Universität Potsdam
  Am Neuen Palais 10
  D-14469 Potsdam
  Germany

Office:

1.35

Mobile Phone:

Office Phone:

(+33) 622690813

 (+49) 3319771187

Email:

levy@math.uni-potsdam.de

Research Interest:

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

CV

Research works:

Published or accepted for publication:

·         Spectral action for torsion with and without boundaries (with B. Iochum and D. Vassilevich), Communications in Mathematical Physics 310 (2012), 367-382. pdf

·         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:

·         Residue and canonical traces on C*-algebra-valued symbol pseudodifferential operators (with C. Neira Jiménez and S. Paycha), in preparation.

·         On inductive limits of unbounded Fredholm modules (with E. Ortega), in preparation.

·         Global and local aspects of the spectral action (with B. Iochum and D. Vassilevich), submitted preprint (2012). pdf

·         Spectral action beyond weak-field approximation (with B. Iochum and D. Vassilevich), submitted preprint (2011). pdf

·         Pseudodifferential operators on manifolds with linearization, preprint (2010). pdf

PhD Thesis:

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

Teaching:

·         Winter Semester 2011 Analysis I (see Moodle for the latest information)

·         Block 2C, 2009/2010: Riemannian Geometry

·         Block 3A 2009/2010: Differential geometry

·         Block 2B 2010/2011: Differential geometry

·         Block 4B 2010/2011: Riemannian Geometry