Christoph Kriegler
  Français Deutsch
PIC
Maître de conférences
Laboratoire de Mathématiques (UMR 6620)
Université Blaise-Pascal (Clermont-Ferrand 2)
Campus Universitaire des Cézeaux
3, place Vasarely
TSA 60026
CS 60026
63 178 Aubière Cedex
France

PIC +33(0)4 73 40 76 97
PIC +33(0)4 73 40 70 64
PICPIC

Contents

1 Areas of research
2 Publications
3 Preprints
4 Thesis
5 Scientific communications at conferences
6 Talks in mathematical seminars
7 Teaching (in French)
8 Curriculum Vitae

1 Areas of research

2 Publications

  1. (with L. Weis) Contractivity of the H calculus and Blaschke products, Operator theory: Advances and Applications, 195:231 – 244, 2009. Preprint on site of the Karlsruhe Institute of Technology.
  2. (with C. Le Merdy) Tensor extension properties of C(K)-representations and applications to unconditionality, J. Aust. Math. Soc. 88(2):205 – 230, 2010. Preprint on arXiv.org.
  3. Analyticity angles for non-commutative diffusion semigroups, J. London Math. Soc. 83(1):168 – 186, 2011. Preprint on site of the Karlsruhe Institute of Technology.
  4. Functional calculus and Dilation for c0-groups of polynomial growth, Semigroup Forum 84(3):393 – 433, 2012.
  5. (with P. Auscher, S. Monniaux, P. Portal) Singular integral operators on tent spaces, J. of Evol. Equ. 12(4):741 – 765, 2012. Preprint on HAL, arXiv.org.
  6. Hörmander type functional calculus and square function estimates, J. Operator Theory 71(1):223–257, 2014. Preprint on HAL, arXiv.org.
  7. Hörmander Functional Calculus for Poisson Estimates, Int. Equ. Op. Theory 80(3):379–413, 2014. Preprint on HAL, arXiv.org.
  8. (with L. Weis) Paley-Littlewood decomposition for sectorial operators and interpolation spaces, Mathematische Nachrichten, 289(11-12):1488 – 1525, 2016. Preprint on HAL, arXiv.org.
  9. (with L. Weis) Spectral multiplier theorems and averaged R-boundedness, Semigroup Forum, 94(2):260–296, 2017. Preprint on HAL, arXiv.org.
  10. (with L. Deléaval) Dunkl spectral multipliers with values in UMD lattices, Journal of Functional Analysis, 272(5):2132–2175, 2017.

3 Preprints

  1. (with L. Weis) Spectral multiplier theorems via H calculus and R-bounds, accepté dans Mathematische Zeitschrift. Preprint on HAL, arXiv.org.
  2. Spectral multipliers for wave operators. Preprint on HAL, arXiv.org.
  3. (with C. Arhancet) Decomposable Schur multipliers and Fourier multipliers on noncommutative Lp-spaces. Preprint on arXiv.org.
  4. (with L. Deléaval) Dimension free bounds for the vector-valued Hardy-Littlewood maximal operator, accepté dans Revista Matemática Iberoamericana. Preprint on arXiv.org.

4 Thesis

Spectral multipliers, R-bounded homomorphisms and analytic diffusion semigroups

5 Scientific communications at conferences

05/2008Title: Analyticity angles for diffusion semigroups, Conference Journées espaces Lp non-commutatifs in Besançon, France.
09/2008 Title: Functional calculus on the positive half-line, Annual conference of the DMV (German Mathematical Society) in Erlangen, Germany.
10/2008 Title: Analyticity angles for diffusion semigroups, Journées du GDR analyse harmonique et fonctionnelle in Orléans, France.
11/1009 Title: Functional calculus of generators of polynomially growing groups, Journées du GDR analyse fonctionnelle et harmonique in Besançon, France.
10/2010 Title: Spectral multipliers and Paley-Littlewood decomposition, Journées du GDR analyse harmonique et fonctionnelle in Metz, France.
12/2010 Title: Dilations of polynomially growing groups, Mini-cours analyse harmonique in Lens, France.
10/2011 Title: Spectral decomposition and interpolation spaces for smooth functional calculus, Conference “Evolution equations: randomness and asymptotics” in Bad Herrenalb, Germany.
09/2012 Title: Spectral multipliers for wave operators, Annual conference of the DMV (German Mathematical Society) in Saarbrücken, Germany.
06/2013 Title: Hörmander functional calculus for Poisson estimates, Mini-cours analyse harmonique in Lens, France.
10/2014 Title: Hörmander functional calculus for non-selfadjoint operators, Conference “Functional calculus and Harmonic Analysis of semigroups” in Besançon, France.
06/2015 Title: Decomposable Schur multipliers and non-commutative Fourier multipliers, Conference on Harmonic Analysis, Function Theory, Operator Theory and Applications in Bordeaux, France.
10/2015 Same title, Journées ANR “Operator Spaces, Quantum Probability and Information” in Paris (Jussieu), France.
12/2015 Same title, Journées GDR “Analyse Fonctionnelle, Harmonique et Probabilités” at CIRM, Marseille, France.
06/2016 Title: Spectral multipliers in UMD lattices, 10th International Conference on Harmonic Analysis and Partial Differential Equations in El Escorial, Madrid, Spain.
08/2017 Title: Dimension free bounds for the vector-valued Hardy-Littlewood maximal operator, IWOTA 2017 in Chemnitz, Germany.

6 Talks in mathematical seminars

11/2008Title: Spectral expansion of 0-sectorial operators and applications to the functional calculus, Seminar at the Institute for Analysis, Karlsruhe, Germany.
02/2009 Title: Functional calculus for generators of polynomially growing C0-groups, Analysis Seminar at the University of South-Carolina, USA.
06/2010 Same title, Seminar of the Institute for Analysis in Karlsruhe, Germany.
04/2011 Title: Hörmander functional calculus and square function estimates, Analysis Seminar at the University of Lorraine, Metz, France.
04/2011 Title: Dilations of polynomially bounded C0-groups, Analysis Seminar at the University of Lille 1, France.
09/2011 Title: Functional calculus for Laplace type operators, Seminar of pure mathematics, University of Clermont-Ferrand 2, France.
01/2012 Title: Square functions and Hörmander functional calculus, Functional Analysis Seminar at the University of Franche-Comté in Besançon, France.
02/2013 Title: Hörmander functional calculus for Poisson estimates, Analysis Seminar at the University of Grenoble, France.
06/2013 Same Title, Seminar of the Institute for Analysis in Karlsruhe, Germany.
08/2013 Same Title, Harmonic Analysis Seminar at the Australian National University, Canberra, Australia.
01/2014 Hörmander Type Functional Calculus and Square function estimates, Seminar at the Institute for Analysis, Karlsruhe, Germany.
10/2015 Paley-Littlewood decomposition for sectorial operators and interpolation spaces, Analysis seminar University Bordeaux, France.
01/2016 Same title, Analysis seminar University Paul Sabatier in Toulouse, France.
02/2016 Decomposable Schur multipliers and Fourier multipliers on noncommutative Lp-spaces, Seminar “Géométrie, Algèbre, Algèbres d’opérateurs” (GAAO), University Clermont-Auvergne, France.
05/2016 Hörmander spectral multipliers with values in a UMD Banach lattice, Functional analysis seminar IMJ-PRG (Jussieu) in Paris, France.
11/2017 Dimension free bounds for the vector-valued Hardy-Littlewood maximal operator, Seminar “Probabilités Analyse Statistique”, University Clermont-Auvergne, France.

7 Teaching (in French)

2011-2012, 1e semestreEquations differentielles et intégrales pour la chimie (L2 Cours+TD)
Notes du cours mathématiques pour tous
Notes du cours algèbre linéaire
Probabilités et Statistiques (L2 TD)
Feuilles TD sur ENT
2011-2012, 2e semestre Equations aux dérivées partielles (M1 TD)
Analyse réelle (L1 TD)
Algèbre linéaire pour physiciens et chimistes (L1 TD)
2012-2013, 1e semestre Mathématiques appliquées pour la chimie (L2 Cours+TD)
Analyse dans n pour physiciens (L2 TD)
2012-2013, 2e semestre Equations aux dérivées partielles (M1 TD)
Mathématiques générales 1 (L1 TD)
Mathématiques générales 2 (L1 TD)
Algèbre linéaire pour physiciens et chimistes (L1 TD)
2013-2014, 1e semestre Mathématiques appliquées pour la chimie (L2 Cours+TD)
Analyse dans n pour physiciens (L2 TD)
2013-2014, 2e semestre Equations aux dérivées partielles (M1 TD)
Mathématiques générales 1 (L1 TD)
Mathématiques pour physiciens et chimistes (L1 TD)
Séries et calcul différentiel (L2 TD)
2014-2015, 1e semestre Mathématiques appliquées pour la chimie (L2 Cours+TD)
Mathématiques S3 pour physiciens (L2 TD)
Méthodologie du travail universitaire (L1 Cours+TD)
2014-2015, 2e semestre Mathématiques générales 1 (L1 TD)
Calcul différentiel et intégral pour physiciens (L2 TD)
2015-2016
2016-2017, 1e semestre Compléments d’analyse (L3 TD)
Mathématiques S3 pour physiciens (L2 TD)
Tronc commun Mathématiques (L1 TD)
Calcul intégral et séries (L2 TD)
2016-2017, 2e semestre Calcul différentiel et intégral (L2 TD)
Analyse fonctionnelle et théorie spectrale (M1 Cours)
Tuteur académique pour 4 soutenances en statistique (M1 STD)
2017-2018, 1e semestre Mathématiques S1 (L1 TD)
Tronc commun Mathématiques (L1 TD)
Intégration, probabilités et analyse de Fourier (M1 TD)
2017-2018, 2e semestre Séries et intégrales (L2 TD)
Introduction à la dimension infinie (L3 CM)

8 Curriculum Vitae

10/2001-08/2004Studies of mathematics at the university of Karlsruhe (KIT), Germany.
08/2004-06/2006 Master studies at the Ecole Normale Supérieure in Lyon, France.
07/2006-12/2009 PhD thesis in mathematics at the universities of Franche-Comté and Karlsruhe.
01/2010-01/2011 Wissenschaftlicher Mitarbeiter (scientific collaborator) at the institute for analysis, KIT.
02/2011-08/2011 Postdoc at the university Paris-Sud XI.
since 09/2011 Maître de conférences (assistant professor) at the university Blaise Pascal (Clermont-Ferrand 2), France.

Last modification 11/09/2017.