Submitted

  • A. Strohmaier (2024): Dimensional reduction formulae for spectral traces and Casimir energies
    arXiv: 2402.16738
  • A. Strohmaier and S. Zelditch (2024): Heat and Wave kernel expansions for stationary spacetimes
    arXiv: 2308.12148
  • X. Sun, T. Betcke, and A. Strohmaier (2024): Numerical aspects of Casimir energy computation in acoustic scattering
    arXiv: 2306.01280
  • A. Strohmaier and E. Witten (2023): The Timelike Tube Theorem in Curved Spacetime
    arXiv: 2303.16380

Journal Articles

  • A. Strohmaier and A. Waters (2023): The relative trace formula in electromagnetic scattering and boundary layer operatorsto appear in Analysis and PDE
    arXiv: 2111.15331
  • A. Strohmaier and E. Witten (2023): Analytic states in quantum field theory on curved spacetimesAHP online first
    arXiv: 2302.02709
  • C. Bär and A. Strohmaier (2023): Local Index Theory for Lorentzian ManifoldsAnnales Scientifiques de l'Ecole Normale Superieure
    arXiv: 2012.01364
  • A. Strohmaier and A. Waters (2022): The Birman-Krein formula for differential forms and electromagnetic scatteringBull. Sci. Math. 179 (2022), Paper No. 103166
    arXiv: 2104.13589
  • A. Strohmaier and A. Waters (2022): Analytic properties of heat equation solutions and reachable setsMath. Z. 302 (2022), no. 1, 259–274
    arXiv: 2006.05762
  • F. Hanisch, A. Strohmaier and A. Waters (2022): A relative trace formula for obstacle scatteringDuke Math. J. 171 (2022), no. 11, 2233–2274
    arXiv: 2002.07291
  • Y.L. Fang and A. Strohmaier (2022): A mathematical analysis of Casimir interactions I: The scalar fieldAnn. Henri Poincaré, 23 (2022), 1399–1449
    arXiv: 2104.09763
  • Y.L. Fang and A. Strohmaier (2022): Trace singularities in obstacle scattering and the Poisson relation for the relative traceAnnales Mathematiques du Quebec 46, Issue 1 (2022), 55-75, Special issue in honour of Alexander Shnirelman’s 75th birthday
    arXiv: 2104.01017
  • A. Strohmaier (2021): The classical and quantum photon field for non-compact manifolds with boundary and in possibly inhomogeneous mediaCommunications in Mathematical Physics, 1-49. Online first (2021), list of typos available: | Datei |
    arXiv: 2011.12601
  • A. Strohmaier and S. Zelditch (2021): Semi-classical mass asymptotics on stationary spacetimesIndagationes Mathematicae, 32, Issue 1 (2021), 323-363, Special Issue in memory of Hans Duistermaat
    arXiv: 2002.01055
  • M. Levitin and A. Strohmaier (2021): Computations of eigenvalues and resonances on perturbed hyperbolic surfaces with cuspsIMRN,2 021, Issue 6 (2021), 4003–4050
    arXiv: 1812.05554
  • A. Strohmaier and A. Waters (2020): Geometric and obstacle scattering at low energyCommunications in Partial Differential Equations 45 (11), 1451-1511 5 2020. list of typos available: | Datei |
    arXiv: 1907.01444
  • A. Strohmaier and S. Zelditch (2020): Spectral asymptotics on stationary space-timesReviews in Mathematical Physics, 2020
  • C. Bär and A. Strohmaier (2020): An index theorem for Lorentzian manifolds with compact spacelike Cauchy boundaryAmerican Journal of Mathematics, 141.5 (2020), 1421-1455
    arXiv: 1506.00959
  • O. Islam and A. Strohmaier (2020): On microlocalization and the construction of Feynman propagators for normally hyperbolic operatorsCommunications in Analysis and Geometry (accepted)
    arXiv: 2012.09767
  • A. Strohmaier and S. Zelditch (2019): A Gutzwiller trace formula for stationary space-timesAdvances in Mathematics 376 (2019), 107434
    arXiv: 1808.08425
  • C. Bär and A. Strohmaier (2016): A rigorous geometric derivation of the chiral anomaly in curved backgroundsCommunications in Mathematical Physics, 347 (3), 2016, pp. 703-7.
    arXiv: 1508.05345
  • K. Mroz and A. Strohmaier (2016): Riesz means of the counting function of the Laplace operator on compact manifolds of non-positive curvatureJournal of Spectral Theory 3 (2016),629-642
    arXiv: 1409.1869
  • L. Li and A. Strohmaier (2016): Heat kernel estimates for general boundary problemsJournal of Spectral Theory, 6(4) (2016), pp. 903-919.
    arXiv: 1604.00784
  • D. Jakobson, Y. Safarov and A. Strohmaier, and with an Appendix by Y. Colin de Verdiere (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
  • F. Finster and A. Strohmaier (2015): Gupta-Bleuler Quantization of the Maxwell Field in Globally Hyperbolic Space-TimesAnnales Henri Poincaré, Vol. 16 (2015), Issue 8, pp 1837-1868
    arXiv: 1307.1632
  • E. Hunsicker, N. Roidos and A. Strohmaier (2014): Spectral theory of the p-form Laplacian on manifolds with generalized cuspsournal of Spectral Theory, Issue 1 (2014), pp. 177–209.
    arXiv: 1106.3032
  • J. Müller and A. Strohmaier (2014): The theory of Hahn meromorphic functions, a holomorphic Fredholm theorem and its applicationsAnalysis and PDE, Vol. 7 (2014), No. 3, 745–770
    arXiv: 1205.0236
  • K. Mroz and A. Strohmaier (2014): Explicit bounds on eigenfunctions and spectral functions on manifolds hyperbolic near a pointJournal of the London Math. Soc., 89 (3) (2014), 917-940.
    arXiv: 1305.3771
  • J. Seiler and A. Strohmaier (2013): On the Noncommutative Residue for Projective Pseudodifferential OperatorsJournal of Differential Geometry, Vol. 94 (2013), 505-519
    arXiv: 1005.3953
  • V. Uski and A. Strohmaier (2013): An Algorithm for the Computation of Eigenvalues, Spectral Zeta Functions and Zeta-Determinants on Hyperbolic SurfacesCommun. Math. Phys. , Vol. 317 (2013), 827-869
    arXiv: 1110.2150
  • W. Müller and A. Strohmaier (2010): Scattering at low energies on manifolds with cylindrical ends and stable systolesGeometric and Functional Analysis, Vol. 20 (2010) 741-778.
    arXiv: 0907.3517
  • E. Dryden and A. Strohmaier (2009): Huber's theorem for hyperbolic orbisurfacesCanadian Mathematical Bulletin , 52(2009), 66-71
    arXiv: math/0504571
  • D. Jakobson, A. Strohmaier and S. Zelditch (2008): On the Spectrum of geometric operators on Kähler manifoldsJournal of Modern Dynamics Volume 2, No. 4 (2008),701-718
    arXiv: 0805.2376
  • D. Jakobson and A. Strohmaier (2007): High energy limits of Laplace-type and Dirac-type eigenfunctions and frame flowsCommun. Math. Phys. 270 (2007), no. 3, 813-833.
    arXiv: math/0607616
  • A. Strohmaier (2005): On Noncommutative and pseudo-Riemannian GeometryJournal of Geometry and Physics 56/2, 175-195 (2005)
    arXiv: math-ph/0110001
  • A. Strohmaier (2005): Analytic Continuation of Resolvent Kernels on noncompact Symmetric SpacesMath. Z. 250, 411-425 (2005)
    arXiv: math/0310395
  • A. Strohmaier, R. Verch, and M. Wollenberg (2002): Microlocal analysis of quantum fields on curved spacetimes:Analytic wavefront sets and Reeh-Schlieder theoremsJ. Math. Phys. 43 (2002) 5514-5530
    arXiv: math-ph/0202003
  • H. Grosse, C. Rupp and A. Strohmaier (2002): Fuzzy Line Bundles, the Chern Character and Topological Charges over the Fuzzy SphereJ. Geom. Phys. 42 (2002) 54-63
    arXiv: math-ph/0105033
  • C. Bär and A. Strohmaier (2001): Semi-Bounded Restrictions of Dirac Type Operators and the Unique Continuation PropertyDiff. Geom. Appl. 15 (2001) 175-182
    arXiv: math-ph/0004002
  • A. Strohmaier (2000): The Reeh-Schlieder Property for Quantum Fields on Stationary SpacetimesCommun. Math. Phys. 215 (2000) 1, 105-118
    arXiv: math-ph/0002054
  • A. Strohmaier (2000): On the local structure of the Klein-Gordon field on curved spacetimesLett. Math. Phys. 54 (2000) 249-261
    arXiv: math-ph/0008043
  • H. Grosse and A. Strohmaier (1999): Towards a Nonperturbative Covariant Regularization in 4D Quantum Field TheoryLett. Math. Phys. 48 (1999) 163-179.
    arXiv: hep-th/9902138