In collaboration with Paulo Tirao:
Compact flat manifolds with
holonomy
group Z2 + Z2
Proceedings of the American
Mathematical Society, 124
no. 8, (1996), 2491--2499.
Compact flat manifolds
with holonomy group Z2+Z2 (II) pdf
article
Rendiconti del Seminario Matem\'atico
dell'Universit\'a di
Padova, 101 (1999),
99--136.
Five-Dimensional
Bieberbach
Groups with Holonomy Group Z2 + Z2
Geometriae Dedicata, 77 no.2, (1999) 149--172.
In collaboration with Roberto Miatello:
Isospectral Hantzsche-Wendt
Manifolds
Journal für die Reine und
Angewandte Mathematik (Crelle's
Journal), 515 (1999),
1--23.
Hantzsche-Wendt Manifolds of
Dimension 7 (article in ps or dvi)
Proceedings of the VII International
Conference ``Differential
Geometry and its Applications", Brno,
Cech Republic 1998, (1999)
379--390.
Flat Manifolds
Isospectral on p-forms
arXiv: math.DG/0303276
Journal of Geometric Analysis,
11 (2001), 649--667.
Comparison of Twisted p-form
Spectra for Flat Manifolds with Diagonal
Holonomy
Annals of Global Analysis and Geometry.
21 no. 4, (2002), 341--376.
Length spectra and p-spectra
of compact flat manifolds arXiv: math.DG/0110325
Journal of Geometric Analysis,
13 (2003), 631--657.
In collaboration with Carolyn S. Gordon:
Boundary volume and length
spectra of Riemannian manifolds: What the middle degree Hodge spectrum
doesn't reveal
Annales de l'Insitut Fourier,
83 no.7, (2003), 2297--2314
. arXiv: math.DG/0111016
In collaboration with Andrzej Szczepański:
Generalized
Hantzsche-Wendt Flat Manifolds, 16 pages. arXiv: math.GT/0208205
to appear in Revista
Matemática Iberoamericana, 21 no.3, (2005)
In collaboration with Peter G. Doyle.
Tetra and Didi the cosmic
spectral twins
Geometry and Topology 8 (2004), 1227-1242
Preprints (submitted):
Describing the platycosms,
arxiv: math.DG/0311476
in collaboration with John H. Conway.
Hearing the platcosms,
arxiv: math.DG/0311470
in collaboration with John H. Conway.
(Z_2^k)-manifolds
are
isospectral on forms arXiv:
math.DG/0408285
in collaboration with Roberto Miatello and Ricardo Podestá.
In preparation:
Spectrum and length spectrum
of closed hyperbolic surfaces via the Selberg trace formula
in collaboration with Peter G. Doyle.
Shifted lattices with the
same theta series
Mutually p-isospectral flat
Riemannian manifolds
Representation theory and
isospectrality of certain locally homogeneous manifolds
in collaboration with Roberto Miatello.