cv  publications  documents  ailleurs                                                                                             publications
  • Published papers                                                                                                      (by topics, in chronological order for each topic)

Noncommutative geometry: metric aspect, optimal transport, sub-Riemannian geometry

28 Matrix geometries emergent from a point,
     Rev. in Math. Phys. 26 9 (2014) 1450017 (32 pages) with F. D'Andrea, F. Lizzi.

27  Deformations of canonical commutation relations and metric structures,
      SIGMA 10 (2014) 62, 24 pages, with F. D'Andrea, F. Lizzi.

26 Spectral geometry with a cut-off: topological and metric aspects,
      J. Geom. Phys. 82 (2014) 18-45 with F. D'Andrea, F. Lizzi.

25 Towards a Monge-Kantorovich metric in noncommutative geometry,   
     J. Math. Sciences 196 2 (2013) 165-174 (initially Zap. Nauch. Sem. POMI 411 (2013)). 

24. Noncommutative geometry of the Moyal plane: translation isometries, Connes' distance on coherent states, Pythagoras equality,
     Commun. Math. Phys. 323 (2013) 107-141, with L. Tomassini. 

23 On Pythagoras theorem for the product of spectral triples,
     Lett. Math. Phys. 103 (2013) 469-492, with F. D'Andrea.

22 Minimal length in quantum space, integrations of the line element in Noncommutative Geometry,
     Rev. in Math. Phys. 24 5 (2012) with F. Mercati, L. Tomassini,

21 The Spectral distance in the Moyal plane,
     J. Geom. Phys. 61 (2011) 1881-1897,with E. Cagnache, F. D'Andrea,  J.C. Wallet.

20 A view on optimal transport from Noncommutative geometry,
     SIGMA 6 (2010) 052 22 pages, with  F. D'Andrea.
19 Line element in quantum gravity, the example of DSR and Noncommutative geometry,
     Int. J. Mod. Phys. A 24 (2009) 2792-2801.

18 Spectral distance on the circle,
     J. Func. Anal. 255 (2008) 1575-1612.

17 Carnot-Carathéodory metric and gauge fluctuation in noncommutative geometry,
     Commun. Math. Phys. 265 (2006) 585-616.

16 What kind of noncommutative geometry for quantum gravity ?   
     Mod. Phys. Lett. A. 20 (2005) 1315-1326.

15 Discrete Kaluza-Klein from scalar fluctuations in noncommutative geometry,
     J. Math. Phys. 43 (2002) 182-204, with R. Wulkenhaar.

14 Distance in finite spaces from non commutative geometry,
     J. Geom. Phys. 31 (2001) 100-125, with B. Iochum, T. Krajewski.

Applications to physics: standard model, gauge theory, Noether theorem for quantum groups

13 On twisting real spectral triples by algebra automorphisms,
    with G. Landi, Lett. Math. Phys.  (2016).     

12 Twisted spectral triple for the standard model and spontaneous breaking of the grand symmetry,        
    with A. Devastato, Math. Phys., Anal., Geom. (2016).

11 Grand Symmetry, Spectral Action, and the Higgs mass,
    JHEP 01 (2014) 042, with A. Devastato, F. Lizzi.

10 Noncommutative gauge theory on the Moyal plane as matrix models,
    JHEP 09 (2013) 051, with P. Vitale, J.-C. Wallet.

9 Noether analysis of the twisted Hopf symmetries of canonical noncommutative spacetimes,
   Phys. Rev. D 78 (2008) 025005, with G. Amelino-Camelia, F. Briscese, G. Gubitosi,
   A. Marciano, F. Mercati.

8 A no-pure-boost uncertainty principle from spacetime noncommutativity,
   Phys. Lett. B 671 (2008) 298-302, with G. Amelino-Camelia, G. Gubitosi, A. Marciano, F. Mercati.

Thermal time hypothesis:
modular group and its physical interpretation

7 Emergence of time in quantum gravity: is time necessarily flowing ?
   Kronoscope 13 1 (2013) 67-84.

6 Geometric modular action for disjoint intervals and boundary conformal theory,
   Rev. in Math. Phys. 22 3 (2010) 1-23, with K.-H. Rehren and R. Longo.

5 Conformal mapping of Unruh temperature,
   Mod. Phys. Lett. A 24 (2009) 1473-1483.

4 Diamonds' Temperature: Unruh effect for bounded trajectories and the thermal time hypothesis,
   Class. Quant. Grav. 20 (2003) 4919-4932, with C. Rovelli.

Renormalization and Hopf algebra

3 Wilsonian renormalization, differential equations and Hopf algebras,
   Contemporary Mathematics 539 (2011), with T. Krajewski.
2 An algebraic Birkhoff decomposition for the continuous renormalization group,
   J. Math. Phys. 45 (2004) 4679-4697, with F. Girelli, T. Krajewski.

1 Wave-Function renormalization and the Hopf algebra of Connes Kreimer,
    Mod. Phys. Lett. A 16 (2001) 299-303, with F. Girelli, T. Krajewski.

  • Proceedings with peer review

11 From Monge to Higgs: a survey of distance computations in noncommutative geometry,
     to be published in Contemporary Mathematics.

10 Beyond the Standard Model with noncommutative geometry, strolling towards quantum gravity,
   J. Physics. Conf. Series 634 (2015). 

9 Twisted spectral geometry for the standard model,
   J. Phys.: Conf. Ser. 626 (2015) 012044.

8 Designing the sound of a cut-off drum,
   Proceeding of Science (FFP14) 144 (2015).

7 Higgs mass in noncommutative geometry,
   Fortschritte der Physik 62 9-10 (2014) 863-868, with A. Devastato, F. Lizzi.

6 Length and distance on a quantum space,
   Proceeding of Science (CORFU2011) 040 (2012) with L. Tomassini.

5 First results of the Noether theorem for Hopf-algebra spacetime symmetries,
   Progress of Theoretical Physics Supplement 171 (2007) 65-78,
   with G. Amelino-Camelia, G. Gubitosi, A.Marciano, F. Mercati, D. Pranzetti, R. A. Tacchi,

4 Is life a thermal horizon ?
   J. Phys.: Conf. Ser. 67 (2007) 012034.

3 A brief remark on Unruh effect and causality,
   J. Phys.: Conf. Ser. 68 (2007) 012027.

2 Smoother than a circle, or how ncg provides the torus with an egocentred metric,
    proceedings of  Deva int. conf. on  differential geometry and physics,
    Cluj University press (2006), Romania.

1 Carnot-Carathéodory metric vs gauge fluctuation in noncommutative geometry,
   proceedings of the intl. conf. on high energy and mathematical physics of Marrakech,
   African Journal of Mathematical physics 3 (2006) 157-162.

  • Editorial work

Special Issue of the AMS Contemporay Mathematics "Noncommutative Geometry and Optimal transport", to appear.

Proceedings of the noncommutative geometry session in the conference ``Conceptual and technical challenge of quantum gravity'',
Roma october 2014, published in J. Physics. Conf. Series 634 (2015).

  • Other texts

Noncommutative geometry and its application to quantum physics,  habilitation à diriger les recherches. [pdf]

Une brève introduction à la description du modèle standard des particules élémentaires en géométrie non commutative,
    notes from lectures given at Oujda university, Morocco (2003). [arXiv]

Distances en géométrie non commutative, Ph.D thesis. [arXiv]

Le modèle standard en géométrie non commutative,  proceeding "Rencontres avec les jeunes chercheurs", Aussois 2000,

J'irai chercher le H-index avec les dents.
d'après un homme politique du XXI siècle.