All my (recent) publications/preprints are available
non-arithmetic complex hyperbolic lattices II, with
J. R. Parker and
J. Paupert, Dec 2018
A new non-arithmetic
lattice in PU(3,1), to appear in
Algebr. Geom. Topol. (arXiv).
Volumes of 3-ball
quotients as intersection numbers, to appear in
Trans. Amer. Math. Soc.
lattices and the Klein quartic,
to appear in
J. Reine Angew. Math.
ball quotients from a configuration of elliptic curves in an Abelian
Comment. Math. Helv. 93 (2018) 533-554.
1-parameter family of spherical CR uniformizations of the figure
eight knot complement.
Geom. Topol. 20 (2016), 3571-3621. Published version.
non-arithmetic complex hyperbolic lattices, with
J. R. Parker and
Invent. Math. 203 (2016), 681-771.
Software that performs the computations needed in the paper can be
Pretty pictures of these (and some more) fundamental domains can
be found here.
On spherical CR uniformization of
Exp. Math. 24 (2015)
Complex hyperbolic geometry of the figure
eight knot, with
Geom. Topol. 19 (2015)
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.
Almost quarter-pinched Kähler metrics and Chern numbers,
with H. Seshadri.
Proc. Amer. Math. Soc. 139 (2011) 2571-2576.
Forgetful maps between Deligne-Mostow ball quotients.
Geom. Dedicata 150 (2011) 377-389. Published
In order to see the source code of the related computer program,
Deforming the R-Fuchsian (4,4,4)-triangle group into a lattice.
Topology 45 no.6 (2006) 989-1020.
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).
Dirichlet domains for the Mostow lattices.
Experiment. Math. 14 (2005) 467-490.
See the relevant Java applet
New constructions of fundamental polyhedra in complex hyperbolic space, with
E. Falbel and
Acta Math. 194 (2005) 155-201. Published version.
A negatively curved Kähler threefold not covered by the ball.
Invent. Math. 160 (2005) no.3, 501-525. Published version.
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