I. Homogeneous Riemannian manifolds

II. Kahler and symplectic structures

III. Spectral Geometry

A. Isospectral closed manifolds with a common Riemannian covering

B. Isospectral plane or hyperbolic domains

C. Laplace spectrum versus geometry

D. Isospectral Riemannian manifolds with different local geometry

E. Isospectral potentials for the Schrodinger operator

F. Expository articles

I. Homogeneous Riemannian manifolds

Riemannian isometry groups containing transitive reductive subgroups, Math. Ann. 248 (1980), 185-192.
Transitive Riemannian isometry groups with nilpotent radicals, Ann. Inst. Fourier, Grenoble 31 (1981), 192-204.
Semisimple normal subgroups of transitive Riemannian isometry groups, Osaka J. Math. 19 (1982), 283-286.
with E. N. Wilson, The fine structure of transitive Riemannian isometry groups, part I, Trans. Amer. Math. Soc. 289 (1985), 367-380.
with W. Ziller, Naturally reductive metrics of non-positive Ricci curvature, Proc. Amer. Math. Soc. 91 (1984), 287-290.
Naturally reductive homogeneous Riemannian manifolds, Canadian J. Math. 37 (1985), 467-487.
with E. N. Wilson, Isometry groups of solvmanifolds, Trans. Amer. Math. Soc. 397 (1988), 245-269.
Homogeneous Riemannian manifolds whose geodesics are orbits, in "Topics in Geometry: Honoring the Memory of Joseph D'Atri, Birkhauser, Boston 1996, 155-174.
with M. Kerr, New examples of homogeneous Einstein manifolds, to appear in Global Analysis and Geometry

II. Kahler and symplectic structures

with C. Benson, Kahler and symplectic structures on nilmanifolds, Topology 27 (1988), 513-518.
with C. Benson, Kahler structures on complete solvmanifolds, Proc. Amer. Math. Soc. 108 (1990), 971-980.

III. Spectral Geometry

A. Isospectral closed manifolds with a common Riemannian covering

with E. N. Wilson, Isospectral deformations of compact solvmanifolds, J. Diff. Geom. 19 (1984), 241-256.
The spectrum of the Laplacian on Riemannian Heisenberg manifolds, Mich. Math. J. 33 (1986), 253-271.
Riemannian manifolds isospectral on functions but not on 1-forms, J. Diff. Geom. 24 (1986), 79-96.
with R. Brooks, Isospectral families of conformally equivalent Riemannian metrics,
Bulletin Amer. Math. Soc. 23 (1990), 433-436.
with D. DeTurck, H. Gluck, and D. Webb Isospectral conformally equivalent Riemannian metrics, Indiana Univ. Math. J. 41 (1992), 99-107.
with D. DeTurck, Isospectral Riemannian metrics and finite coverings, Contemporary Math. 64 (1987), 79-92.
with D. DeTurck, Isospectral deformations I: Riemannian structures on two-step nilspaces, Comm. Pure and Appl. Math. 40 (1987), 367-387.
with D. DeTurck, Isospectral deformations II: Trace formulas, metrics, and potentials, Comm. Pure Appl. Math. 42 (1989), 1067-1096.
with D. DeTurck , Isospectral Riemannian metrics and potentials, announcement, Bull. Amer. Math. Soc. 17, no. 1 (1987), 137-140.
with H. Ouyang and D. Schueth, Distinguishing isospectral nilmanifolds by bundle Laplacians, Math. Research Letters 4 (1997), 23-33.

B. Isospectral plane or hyperbolic domains

with D. Webb and S. Wolpert, One can't hear the shape of a drum, Bull. Amer. Math. Soc. 27 (1992), 134-138.
with D. Webb and S. Wolpert, Isospectral plane domains and surfaces via Riemannian orbifolds, Invent. math. 110 (1992), 1-22.
with D. Webb, Isospectral convex domains in the hyperbolic plane, Proc. Amer. Math. Soc.
with D. Webb, Isospectral convex domains in Euclidean space, Math. Research Letters 1 (1994), 539-545.

C. Laplace spectrum versus geometry

with D. DeTurck, H. Gluck, and D. Webb, You can't hear the size of a homology class, Comm. Math. Helv. 64 (1989), 589-617.
with D. DeTurck, H. Gluck, and D. Webb, The inaudible geometry of nilmanifolds, Invent. Math. 111 (1993), 271-284.
The Laplace spectra versus the length spectra of Riemannian mnaifolds, Contemporary Mathematics 51 (1986), 63-79.
with Yiping Mao, Comparison of Laplace spectra, length spectra and geodesic flows of some Riemannian manifolds, Math. Research Letters 1, no. 6 (1994), 677-688.
with Y. Mao, Geodesic fonjugacy on two-step nilmanifolds, Mich. Math. J..45 (1998), 451-481.
with Y. Mao and D. Schueth, Symplectic rigidity of geodesic flows on two-step nilmanifolds, Ann. Scient. de l'Ecole Norm. Sup. 30 (1997), 417-427.
with J. P. Rossetti, Boundary volume and length spectra of Riemannian manifolds: What the middle degree Hodge spectrum doesn't reveal, Ann. Inst. Fourier, Grenoble 53 (2003, 2297-2314.
with E. Makover and D. Webb, Transplantation and Jacobians of Sunada isospectral Riemann surfaces, Adv. in Math. 197 (2005), 86-119.