Ph.D. Students

Math Pics




Institut Fourier

Bibliothèque IF


   All my (recent) publications/preprints are available on arXiv.


  1.    New non-arithmetic complex hyperbolic lattices II, with J. R. Parker and J. Paupert, Dec 2018 (arXiv).


  1.    A new non-arithmetic lattice in PU(3,1), to appear in Algebr. Geom. Topol. (arXiv).

  2.    Volumes of 3-ball quotients as intersection numbers, to appear in Trans. Amer. Math. Soc. (arXiv).

  3.    Non-arithmetic lattices and the Klein quartic, to appear in J. Reine Angew. Math. (arXiv).

  4.    Non-arithmetic ball quotients from a configuration of elliptic curves in an Abelian surface.
          Comment. Math. Helv. 93 (2018) 533-554. Published Version.

  5.    A 1-parameter family of spherical CR uniformizations of the figure eight knot complement.
          Geom. Topol. 20 (2016), 3571-3621. Published version.

  6.    New non-arithmetic complex hyperbolic lattices, with J. R. Parker and J. Paupert.
          Invent. Math. 203 (2016), 681-771. Published version.
                Software that performs the computations needed in the paper can be found here.
                Pretty pictures of these (and some more) fundamental domains can be found here

  7.     On spherical CR uniformization of 3-manifolds.
          Exp. Math. 24 (2015) 355-370, Published version.

  8.     Complex hyperbolic geometry of the figure eight knot, with E. Falbel.
          Geom. Topol. 19 (2015) 237-293. Published version.

  9.     Census of the complex hyperbolic sporadic triangle groups, with J. R. Parker and J. Paupert
          Exp. Math. 20 (2011) 467-486. Published version.
                The relevant computer program can be found here.

  10.     Almost quarter-pinched Kähler metrics and Chern numbers, with H. Seshadri.
           Proc. Amer. Math. Soc. 139 (2011) 2571-2576. Published version.

  11.     Forgetful maps between Deligne-Mostow ball quotients.
          Geom. Dedicata 150 (2011) 377-389. Published version.
               In order to see the source code of the related computer program, download Tauto.jar.

  12.     Deforming the R-Fuchsian (4,4,4)-triangle group into a lattice.
           Topology 45 no.6 (2006) 989-1020. Published version.
               The relevant applet can be found here.
               Prettier pictures than the ones in the published paper can be seen here (these were obtained with a more recent version of my computer program).

  13.     Dirichlet domains for the Mostow lattices.
           Experiment. Math. 14 (2005) 467-490. Published version.
               See the relevant Java applet

  14.     New constructions of fundamental polyhedra in complex hyperbolic space, with E. Falbel and J.Paupert.
           Acta Math. 194 (2005) 155-201. Published version.

  15.     A negatively curved Kähler threefold not covered by the ball.
           Invent. Math. 160 (2005) no.3, 501-525. Published version.

  16.     On the universal cover of certain exotic Kähler surfaces of negative curvature.
           Math. Ann. 329 (2004) no.4, 653-683. Published version.


Groupe de travail SGT (Automne 2014)

Dernière mise à jour: Jul 03, 2019