Submitted
Journal Articles
-
(2023): The relative trace formula in electromagnetic scattering and boundary layer operators, to appear in Analysis and PDE
arXiv: 2111.15331 -
(2023): Analytic states in quantum field theory on curved spacetimes, AHP online first
arXiv: 2302.02709 -
(2023): Local Index Theory for Lorentzian Manifolds, Annales Scientifiques de l'Ecole Normale Superieure
arXiv: 2012.01364 -
(2022): The Birman-Krein formula for differential forms and electromagnetic scattering, Bull. Sci. Math. 179 (2022), Paper No. 103166
arXiv: 2104.13589 -
(2022): Analytic properties of heat equation solutions and reachable sets, Math. Z. 302 (2022), no. 1, 259–274
arXiv: 2006.05762 -
(2022): A relative trace formula for obstacle scattering, Duke Math. J. 171 (2022), no. 11, 2233–2274
arXiv: 2002.07291 -
(2022): A mathematical analysis of Casimir interactions I: The scalar field, Ann. Henri Poincaré, 23 (2022), 1399–1449
arXiv: 2104.09763 -
(2022): Trace singularities in obstacle scattering and the Poisson relation for the relative trace, Annales Mathematiques du Quebec 46, Issue 1 (2022), 55-75, Special issue in honour of Alexander Shnirelman’s 75th birthday
arXiv: 2104.01017 -
(2021): The classical and quantum photon field for non-compact manifolds with boundary and in possibly inhomogeneous media, Communications in Mathematical Physics, 1-49. Online first (2021), list of typos available: | Datei |
arXiv: 2011.12601 -
(2021): Semi-classical mass asymptotics on stationary spacetimes, Indagationes Mathematicae, 32, Issue 1 (2021), 323-363, Special Issue in memory of Hans Duistermaat
arXiv: 2002.01055 -
(2021): Computations of eigenvalues and resonances on perturbed hyperbolic surfaces with cusps, IMRN,2 021, Issue 6 (2021), 4003–4050
arXiv: 1812.05554 -
(2020): Geometric and obstacle scattering at low energy, Communications in Partial Differential Equations 45 (11), 1451-1511 5 2020. list of typos available: | Datei |
arXiv: 1907.01444 -
(2020): Spectral asymptotics on stationary space-times, Reviews in Mathematical Physics, 2020
-
(2020): An index theorem for Lorentzian manifolds with compact spacelike Cauchy boundary, American Journal of Mathematics, 141.5 (2020), 1421-1455
arXiv: 1506.00959 -
(2020): On microlocalization and the construction of Feynman propagators for normally hyperbolic operators, Communications in Analysis and Geometry (accepted)
arXiv: 2012.09767 -
(2019): A Gutzwiller trace formula for stationary space-times, Advances in Mathematics 376 (2019), 107434
arXiv: 1808.08425 -
(2016): A rigorous geometric derivation of the chiral anomaly in curved backgrounds, Communications in Mathematical Physics, 347 (3), 2016, pp. 703-7.
arXiv: 1508.05345 -
(2016): Riesz means of the counting function of the Laplace operator on compact manifolds of non-positive curvature, Journal of Spectral Theory 3 (2016),629-642
arXiv: 1409.1869 -
(2016): Heat kernel estimates for general boundary problems, Journal of Spectral Theory, 6(4) (2016), pp. 903-919.
arXiv: 1604.00784 -
(2015): The semiclassical theory of discontinuous systems and ray-splitting billiards", American Journal of Mathematics, Vol. 137 (2015), No. 4, 859-90
arXiv: 1301.6783 -
(2015): Gupta-Bleuler Quantization of the Maxwell Field in Globally Hyperbolic Space-Times, Annales Henri Poincaré, Vol. 16 (2015), Issue 8, pp 1837-1868
arXiv: 1307.1632 -
(2014): Spectral theory of the p-form Laplacian on manifolds with generalized cusps, ournal of Spectral Theory, Issue 1 (2014), pp. 177–209.
arXiv: 1106.3032 -
(2014): The theory of Hahn meromorphic functions, a holomorphic Fredholm theorem and its applications, Analysis and PDE, Vol. 7 (2014), No. 3, 745–770
arXiv: 1205.0236 -
(2014): Explicit bounds on eigenfunctions and spectral functions on manifolds hyperbolic near a point, Journal of the London Math. Soc., 89 (3) (2014), 917-940.
arXiv: 1305.3771 -
(2013): On the Noncommutative Residue for Projective Pseudodifferential Operators, Journal of Differential Geometry, Vol. 94 (2013), 505-519
arXiv: 1005.3953 -
(2013): An Algorithm for the Computation of Eigenvalues, Spectral Zeta Functions and Zeta-Determinants on Hyperbolic Surfaces, Commun. Math. Phys. , Vol. 317 (2013), 827-869
arXiv: 1110.2150 -
(2010): Scattering at low energies on manifolds with cylindrical ends and stable systoles, Geometric and Functional Analysis, Vol. 20 (2010) 741-778.
arXiv: 0907.3517 -
(2009): Huber's theorem for hyperbolic orbisurfaces, Canadian Mathematical Bulletin , 52(2009), 66-71
arXiv: math/0504571 -
(2008): On the Spectrum of geometric operators on Kähler manifolds, Journal of Modern Dynamics Volume 2, No. 4 (2008),701-718
arXiv: 0805.2376 -
(2007): High energy limits of Laplace-type and Dirac-type eigenfunctions and frame flows, Commun. Math. Phys. 270 (2007), no. 3, 813-833.
arXiv: math/0607616 -
(2005): On Noncommutative and pseudo-Riemannian Geometry, Journal of Geometry and Physics 56/2, 175-195 (2005)
arXiv: math-ph/0110001 -
(2005): Analytic Continuation of Resolvent Kernels on noncompact Symmetric Spaces, Math. Z. 250, 411-425 (2005)
arXiv: math/0310395 -
(2002): Microlocal analysis of quantum fields on curved spacetimes:Analytic wavefront sets and Reeh-Schlieder theorems, J. Math. Phys. 43 (2002) 5514-5530
arXiv: math-ph/0202003 -
(2002): Fuzzy Line Bundles, the Chern Character and Topological Charges over the Fuzzy Sphere, J. Geom. Phys. 42 (2002) 54-63
arXiv: math-ph/0105033 -
(2001): Semi-Bounded Restrictions of Dirac Type Operators and the Unique Continuation Property, Diff. Geom. Appl. 15 (2001) 175-182
arXiv: math-ph/0004002 -
(2000): The Reeh-Schlieder Property for Quantum Fields on Stationary Spacetimes, Commun. Math. Phys. 215 (2000) 1, 105-118
arXiv: math-ph/0002054 -
(2000): On the local structure of the Klein-Gordon field on curved spacetimes, Lett. Math. Phys. 54 (2000) 249-261
arXiv: math-ph/0008043 -
(1999): Towards a Nonperturbative Covariant Regularization in 4D Quantum Field Theory, Lett. Math. Phys. 48 (1999) 163-179.
arXiv: hep-th/9902138