Publications of Alexander Strohmaier
As a service to the community (and to myself) I keep a record of typos in my papers. You can find the relevant pdf next to the paper if such a record exists. Please feel free to send me typos if you find any if they are not on these lists.
with A. Waters: "The relative trace formula in electromagnetic scattering and boundary layer operators", arXiv:2111.15331 .
with C. Baer: "Local Index Theory for Lorentzian Manifolds", arXiv: 2012.01364.
with E. Witten: "Analytic states in quantum field theory on curved spacetimes", arXiv: 2302.02709.
with O. Islam: "On microlocalization and the construction of Feynman propagators for normally hyperbolic operators", arXiv:
Communications in Analysis and Geometry (accepted).
with A. Waters: "The Birman-Krein formula for differential forms and electromagnetic scattering", arXiv:2104.13589.
Bull. Sci. Math. 179 (2022), Paper No. 103166.
with A. Waters: "Analytic properties of
heat equation solutions and reachable sets", arXiv:
Math. Z. 302 (2022), no. 1, 259–274.
with Y.L. Fang: "A mathematical analysis of Casimir interactions I: The scalar field"
Ann. Henri Poincaré, 23 (2022), 1399–1449.
with Y.L. Fang: "Trace singularities in obstacle scattering and the Poisson relation for the relative trace", arXiv:
Annales Mathematiques du Quebec 46, Issue 1 (2022), 55-75, Special issue in honour of Alexander Shnirelman’s 75th birthday.
"The classical and quantum photon field for non-compact manifolds with boundary and in possibly inhomogeneous media", arXiv:
Communications in Mathematical Physics, 1-49. Online first (2021). A list of typos and corrections is available here as pdf-file .
with F. Hanisch and A. Waters: "A relative trace formula for obstacle scattering", arXiv:
Duke Math. J. 171 (2022), no. 11, 2233–2274.
with C. Baer: "An index theorem for Lorentzian manifolds with compact spacelike Cauchy boundary.", arXiv:
American Journal of Mathematics, 141.5 (2020), 1421-1455.
with S. Zelditch:
"A Gutzwiller trace formula for stationary space-times", arXiv:
Advances in Mathematics 376 (2019), 107434.
with A. Waters, "Geometric and obstacle
scattering at low energy"
Communications in Partial Differential Equations 45 (11), 1451-1511 5 2020. A list of typos and corrections is available here as pdf-file.
with S. Zelditch:
asymptotics on stationary space-times",
Reviews in Mathematical Physics, 2020.
with S. Zelditch:
mass asymptotics on stationary
Indagationes Mathematicae, 32, Issue 1 (2021), 323-363, Special Issue in memory of Hans Duistermaat.
with M. Levitin, "Computations of
eigenvalues and resonances on perturbed
hyperbolic surfaces with cusps" ,https://doi.org/10.1093/imrn/rnz157, arXiv:
IMRN,2 021, Issue 6 (2021), 4003–4050.
Baer, "A rigorous geometric derivation of the chiral
anomaly in curved backgrounds", arXiv:
Communications in Mathematical Physics, 347 (3), pp. 703-7.
with L. Li, "Heat
kernel estimates for general boundary
Journal of Spectral Theory, 6(4) (2016), pp. 903-919.
F. Finster, "Gupta-Bleuler Quantization of the
Maxwell Field in Globally Hyperbolic
Annales Henri Poincaré, Vol. 16 (2015), Issue 8, pp 1837-1868.
K. Mroz, "Riesz means of the counting
function of the Laplace operator on
compact manifolds of non-positive
Journal of Spectral Theory 3 (2016),629-642.
J. Müller, "The theory of Hahn meromorphic
functions, a holomorphic Fredholm theorem
and its applications", arXiv:
Analysis and PDE, Vol. 7 (2014), No. 3, 745–770.
with D. Jaksobson and Y. Safarov, and with an
Appendix by Yves Colin de Verdiere,
"The semiclassical theory of discontinuous systems and ray-splitting billiards", arXiv: 1301.6783,
American Journal of Mathematics, Vol. 137 (2015), No. 4, 859-90.
K. Mroz, "Explicit bounds on
eigenfunctions and spectral functions on
manifolds hyperbolic near a point", arXiv:
Journal of the London Math. Soc., 89 (3) (2014), 917-940.
J. Seiler, "On the Noncommutative Residue
for Projective Pseudodifferential
Journal of Differential Geometry, Vol. 94 (2013), 505-519.
E. Hunsicker and N. Roidos, "Spectral
theory of the p-form Laplacian on
manifolds with generalized cusps", arXiv:
Journal of Spectral Theory, Issue 1 (2014), pp. 177–209.
wwith V. Uski, "An Algorithm
for the Computation of Eigenvalues,
Spectral Zeta Functions and
Zeta-Determinants on Hyperbolic
Commun. Math. Phys. , Vol. 317 (2013), 827-869. Datafiles for data used in the paper.
with W. Müller,
"Scattering at low energies on
manifolds with cylindrical ends and
stable systoles", arXiv:
Geometric and Functional Analysis, Vol. 20 (2010) 741-778, Download paper in pdf-format.
with D. Jakobson and S.
Zelditch, "On the Spectrum of
geometric operators on Kaehler
Journal of Modern Dynamics Volume 2, No. 4 (2008),701-718. Download paper in pdf-format.
with E. Dryden,"Huber's
theorem for hyperbolic orbisurfaces" , arXiv:
Canadian Mathematical Bulletin , 52(2009), 66-71. Download paper in pdf-format.
with D. Jakobson,
"High energy limits of Laplace-type
and Dirac-type eigenfunctions and
frame flows", arXiv:
Commun. Math. Phys. 270 (2007), no. 3, 813-833. Download paper in pdf-format. Announced in ERA-AMS 12 (2006), 87-94.
Noncommutative and pseudo-Riemannian
Journal of Geometry and Physics 56/2, 175-195 (2005). Download paper in pdf-format.
Continuation of Resolvent Kernels on
noncompact Symmetric Spaces", arXiv:
Math. Z. 250, 411-425 (2005), Download paper in pdf-format. Click here to get the published version from Springer.
with R. Verch and M.
analysis of quantum fields on curved
spacetimes:Analytic wavefront sets and
Reeh-Schlieder theorems", arXiv:
J. Math. Phys. 43 (2002) 5514-5530. Download paper in pdf-format.
With H. Grosse and
Christian W. Rupp: "Fuzzy
Line Bundles, the Chern Character and
Topological Charges over the Fuzzy
J. Geom. Phys. 42 (2002) 54-63. Download paper in pdf-format.
with C. Baer: "Semi-Bounded
Restrictions of Dirac Type Operators
and the Unique Continuation Property", arXiv:
Diff. Geom. Appl. 15 (2001) 175-182. Download paper in pdf-format.
Reeh-Schlieder Property for Quantum
Fields on Stationary Spacetimes", arXiv:
Commun. Math. Phys. 215 (2000) 1, 105-118. Download paper in pdf-format.
the local structure of the
Klein-Gordon field on curved
Lett. Math. Phys. 54 (2000) 249-261. Download paper in pdf-format.
with H. Grosse: "Towards
a Nonperturbative Covariant
Regularization in 4D Quantum Field
Lett. Math. Phys. 48 (1999) 163-179. Download paper in pdf-format.
4 of Quantum Field Theory On
Curved Spacetimes: Concepts And
by Christian Baer and Klaus Fredenhagen (Editors), Lecture Notes in Physics. Download this chapter in pdf-format.
Corrections for this text are available as a pdf-file here.
Proceedings and contributions to conferences:
"The local index
theorem for twisted Dirac
Oberwolfach Reports 53, p. 3137, 2006 (organized by C. Baer and A. Sitarz)
"Geometry of the high
energy limit of differential
operators on vector bundles.",
Spectrum and dynamics, 43–56, CRM Proc. Lecture Notes, 52, Amer. Math. Soc., Providence, RI, 2010
"Properties of Vacuum states in
Quantum Field Theory on Curved
Leipzig, 2002. pdf-format.
Property for the Dirac Field on
NTZ-PrePrint 26/1999, Leipzig, or math-ph/9911023.
Download paper in pdf-format.