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.
Submitted:
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.
Journal Articles:
with O. Islam: "On microlocalization and the construction of Feynman propagators for normally hyperbolic operators", arXiv:
2012.09767.
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:
2006.05762.
Math. Z. 302 (2022), no. 1, 259–274.
with Y.L. Fang: "A mathematical analysis of Casimir interactions I: The scalar field"
, arXiv:
2104.09763,
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:
2104.01017,
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:
2011.12601,
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:
2002.07291,
Duke Math. J. 171 (2022), no. 11, 2233–2274.
with C. Baer: "An index theorem for Lorentzian manifolds with compact spacelike Cauchy boundary.", arXiv:
1506.00959,
American Journal of Mathematics, 141.5 (2020), 1421-1455.
with S. Zelditch:
"A Gutzwiller trace formula for stationary space-times", arXiv:
1808.08425,
Advances in Mathematics 376 (2019), 107434.
with A. Waters, "Geometric and obstacle
scattering at low energy"
, arXiv:
1907.01444,
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:
"Spectral
asymptotics on stationary space-times",
Reviews in Mathematical Physics, 2020.
with S. Zelditch:
"Semi-classical
mass asymptotics on stationary
spacetimes", arXiv:
2002.01055,
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:
1812.05554,
IMRN,2 021, Issue 6 (2021), 4003–4050.
with C.
Baer, "A rigorous geometric derivation of the chiral
anomaly in curved backgrounds", arXiv:
1508.05345,
Communications in Mathematical Physics, 347 (3),
pp. 703-7.
with L. Li, "Heat
kernel estimates for general boundary
problems", arXiv:
1604.00784,
Journal of Spectral Theory, 6(4) (2016), pp.
903-919.
with
F. Finster, "Gupta-Bleuler Quantization of the
Maxwell Field in Globally Hyperbolic
Space-Times", arXiv:
1307.1632,
Annales Henri Poincaré, Vol. 16
(2015), Issue 8, pp 1837-1868.
with
K. Mroz, "Riesz means of the counting
function of the Laplace operator on
compact manifolds of non-positive
curvature", arXiv:
1409.1869,
Journal of Spectral Theory 3 (2016),629-642.
with
J. Müller, "The theory of Hahn meromorphic
functions, a holomorphic Fredholm theorem
and its applications", arXiv:
1205.0236,
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.
with
K. Mroz, "Explicit bounds on
eigenfunctions and spectral functions on
manifolds hyperbolic near a point", arXiv:
1305.3771,
Journal of the London Math. Soc.,
89 (3) (2014), 917-940.
with
J. Seiler, "On the Noncommutative Residue
for Projective Pseudodifferential
Operators", arXiv:
1005.3953,
Journal of Differential Geometry, Vol. 94 (2013), 505-519.
with
E. Hunsicker and N. Roidos, "Spectral
theory of the p-form Laplacian on
manifolds with generalized cusps", arXiv:
1106.3032,
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
Surfaces", arXiv:
1110.2150,
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:
0907.3517,
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
manifolds", arXiv:
0805.2376,
Journal of Modern Dynamics Volume
2, No. 4 (2008),701-718.
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paper in pdf-format.
with E. Dryden,"Huber's
theorem for hyperbolic orbisurfaces" , arXiv:
math.SP/0504571.
Canadian
Mathematical
Bulletin , 52(2009), 66-71.
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paper in pdf-format.
with D. Jakobson,
"High energy limits of Laplace-type
and Dirac-type eigenfunctions and
frame flows", arXiv:
math/0607616.
Commun. Math. Phys. 270 (2007), no. 3,
813-833.
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paper in pdf-format.
Announced in
ERA-AMS 12 (2006), 87-94.
"On
Noncommutative and pseudo-Riemannian
Geometry", arXiv:
math-ph/0110001,
Journal of Geometry and Physics
56/2, 175-195 (2005).
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paper in pdf-format.
"Analytic
Continuation of Resolvent Kernels on
noncompact Symmetric Spaces", arXiv:
math.FA/0310395,
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.
Wollenberg: "Microlocal
analysis of quantum fields on curved
spacetimes:Analytic wavefront sets and
Reeh-Schlieder theorems", arXiv:
math-ph/0202003,
J. Math. Phys. 43 (2002) 5514-5530.
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paper in pdf-format.
With H. Grosse and
Christian W. Rupp: "Fuzzy
Line Bundles, the Chern Character and
Topological Charges over the Fuzzy
Sphere", arXiv:
math-ph/0105033,
J. Geom. Phys. 42 (2002) 54-63.
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paper in pdf-format.
with C. Baer: "Semi-Bounded
Restrictions of Dirac Type Operators
and the Unique Continuation Property", arXiv:
math-ph/0004002,
Diff. Geom. Appl. 15 (2001) 175-182.
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paper in pdf-format.
"The
Reeh-Schlieder Property for Quantum
Fields on Stationary Spacetimes", arXiv:
math-ph/0002054,
Commun. Math. Phys. 215 (2000) 1,
105-118.
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paper in pdf-format.
"On
the local structure of the
Klein-Gordon field on curved
spacetimes", arXiv:
math-ph/0008043,
Lett. Math. Phys. 54 (2000) 249-261.
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paper in pdf-format.
with H. Grosse: "Towards
a Nonperturbative Covariant
Regularization in 4D Quantum Field
Theory", arXiv:
hep-th/9902138,
Lett. Math. Phys. 48 (1999) 163-179.
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paper in pdf-format.
Expository Articles:
Book Chapter:
Microlocal
Analysis, Chapter
4 of Quantum Field Theory On
Curved Spacetimes: Concepts And
Mathematical Foundations
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
operators",
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
Computer Programs:
PhD:
PhD-Thesis:
"Properties of Vacuum states in
Quantum Field Theory on Curved
Spacetimes"
Leipzig, 2002. pdf-format.
Preprints:
"The Reeh-Schlieder
Property for the Dirac Field on
Static Spacetimes",
NTZ-PrePrint
26/1999,
Leipzig, or math-ph/9911023.
Download
paper in pdf-format.
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