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Recherche/research

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

Prépublications/Preprints

  1. On the geometry of a Picard modular group (July 2021).

Publications

  1.    New non-arithmetic complex hyperbolic lattices II.
        (with J. R. Parker and J. Paupert)
          Michigan Math J. 70 (2021) 133-205. Published version.
                Software that performs the computations needed in the paper can be found here.
                Pictures of some of these fundamental domains can be found here or there
    .

  2.    A new non-arithmetic lattice in PU(3,1).
           Algebr. Geom. Topol. 20 (2020) 925-963. Published version.

  3.    Volumes of 3-ball quotients as intersection numbers.
          Trans. Amer. Math. Soc. 373 (2020) 343-383. Published version.

  4.    Non-arithmetic lattices and the Klein quartic.
          J. Reine Angew. Math. 754 (2019) 253-279. Published Version.

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

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

  7.    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.
                Pictures of these (and some more) fundamental domains can be found here or there
    .

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

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

  10.     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.

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

  12.     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.

  13.     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).

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

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

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

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


Thèses/Theses


Groupe de travail SGT (Automne 2014)




Dernière mise à jour: Jul 22, 2021