Research
Papers:
- Heat coefficients of surfaces with curved conical singularities.
(pdf)
Ann. Global Anal. Geom. 69 (2026), no. 1, Paper No. 2, 22 pp.
- On the Dirac spectrum of homogeneous 3-spheres.
(pdf) With Jordi Kling.
J. Geom. Analysis 32 (2022), no. 11, Paper No. 275, 22 pp.
- On the corner contributions to the heat coefficients of geodesic polygons.
(pdf)
Ann. Inst. Fourier 69, 7 (2019), 2827-2855.
- Contributions to the spectral geometry of locally homogeneous spaces. With Sebastian Boldt.
Book chapter in Space - Time - Matter. Analytic and Geometric Structures.
Brüning, J. (Ed.), Staudacher, M. (Ed.), Fiedler, B., et al. (2018).
Berlin, Boston: De Gruyter.
(http://dx.doi.org/10.1515/9783110452150-003)
- Generic irreducibility of Laplace eigenspaces on certain compact Lie groups.
(pdf)
Ann. Glob. Anal. Geom. 52 (2017), 187-200.
- Inaudibility of sixth order curvature invariants.
(pdf) With T. Arias-Marco.
Rev. R. Acad. Cienc. Exactas, Fís. Nat. 111 (2017), 547-574.
- Classical equivalence and quantum equivalence of magnetic fields on flat tori.
(pdf)
With C.S. Gordon, W. Kirwin, and D. Webb.
Proc. Symp. Pure Math. 84 (2012), 167-179.
- Local symmetry of harmonic spaces as determined by the spectra of small
geodesic spheres.
(pdf)
With T. Arias-Marco.
Geom. Funct. Analysis (GAFA) 22 (2012), no. 1, 1-21.
- Quantum equivalent magnetic fields that are not classically equivalent.
(pdf)
With C.S. Gordon, W. Kirwin, and D. Webb.
Ann. Inst. Fourier 60 (2010), no. 7, 2403-2419.
- On inaudible curvature properties of closed Riemannian manifolds.
(pdf)
With T. Arias-Marco. Ann. Glob. Anal. Geom. 37 (2010), no. 4, 339-349.
- Spectral isolation of bi-invariant metrics on compact Lie-groups.
(pdf)
With C.S. Gordon and C.J. Sutton. Ann. Inst. Fourier 60 (2010),
no. 5, 1617-1628.
- Isospectral orbifolds with different maximal isotropy orders.
(pdf)
With J.P. Rossetti and M. Weilandt. Ann. Glob. Anal. Geom. 34 (2008),
no. 4, 351-366.
- Integrability of geodesic flows and isospectrality
of Riemannian manifolds.
(pdf)
Math. Z. 260 (2008), no. 3, 595-613.
- Isoscattering deformations for complete manifolds of negative curvature.
(pdf)
With P. Perry.
J. Geom. Analysis 16 (2006), no. 4, 661-677.
- Isospectral and isoscattering manifolds: A survey of techniques
and examples.
(pdf)
With C. Gordon and P. Perry.
In: Geometry, spectral theory, groups, and dynamics (M. Entov, Y. Pinchover,
M. Sageev, eds.),
Contemp. Math. 387 (2005), 157-179.
- On the 'standard' condition for noncompact homogeneous
Einstein spaces.
(pdf)
Geom. Dedicata 105 (2004), no. 1, 77-83.
- Isospectral potentials and conformally equivalent isospectral
metrics on spheres, balls and Lie groups.
(pdf)
With C.S. Gordon.
J. Geom. Analysis 13 (2003), no. 2, 300-328.
- Constructing isospectral metrics via principal connections.
(pdf), in:
Geometric Analysis and Nonlinear Partial Differential Equations
(S. Hildebrandt, H. Karcher eds.), Springer, 2003, pp. 69-79.
- Isospectral metrics on five-dimensional spheres.
(pdf)
J. Differential Geometry 58 (2001), 87-111.
- Isospectral manifolds with different local geometries
(Habilitationsschrift, Bonn 2000).
(pdf)
Journal für
die Reine und Angewandte Mathematik (Crelle), 534 (2001),
41-94.
- Continuous families of isospectral metrics on
simply connected manifolds.
(pdf)
Annals of Mathematics 149 (1999), 287-308
(... and some
publicity).
- Isospectral deformations of closed Riemannian
with different scalar curvature.
With C. Gordon, R. Gornet, D. Webb, and E. Wilson.
Ann. Inst. Fourier 48 (1998), no. 2, 593-607.
- Symplectic rigidity of geodesic flows on two-step
nilmanifolds.
With C. Gordon and Y. Mao.
Ann. Sci. Ecole Norm. Sup. (4) 30 (1997), no. 4, 417-427.
- Line bundle Laplacians over isospectral nilmanifolds.
(pdf)
Trans. Amer. Math. Soc. 349 (1997), no. 9, 3787-3802.
- Distinguishing isospectral nilmanifolds by bundle Laplacians.
With C. Gordon and H. Ouyang.
Math. Res. Letters 4 (1997), no. 1, 23-33.
- Continuous families of quasi-regular representations on solvable
Lie groups.
J. Funct. Analysis 134 (1995), no. 1, 247-259.
- Isospectral deformations on Riemannian manifolds which are
diffeomorphic to compact Heisenberg manifolds.
Comment. Math. Helvetici 70 (1995), 434-454.
- Isospectral, non-isometric Riemannian manifolds.
Proceedings of the 13th Winter School on Geometry and Physics
(Zdikov 1993).
Suppl. Rend. Circ. Mat. Palermo 37 (1994), 207-231.
- Stetige isospektrale Deformationen.
Dissertation (Bonn, 1993), Bonner Math. Schriften 261 (1994).
- A new example of an isospectrally deformable solvmanifold
and the geometry of the deformation.
Rencontres de Théorie Spectrale et Géométrie
(Aussois, 1991), 129-131, Univ. Grenoble I, St. Martin d'Hères.
back to homepage