Publications of Alexander Strohmaier

Submitted:

• with J. Seiler, "On the Noncommutative Residue for Projective Pseudodifferential Operators", arXiv:1005.3953
  

• with E. Hunsicker and N. Roidos, "Spectral theory of the p-form Laplacian on manifolds with generalized cusps", arXiv:1106.3032
  

Journal Articles:

• with V. Uski, "An Algorithm for the Computation of Eigenvalues, Spectral Zeta Functions and Zeta-Determinants on Hyperbolic Surfaces", arXiv:1110.2150.
  Datafiles for data used in the paper. Accepted for publication in Commun. Math. Phys.
  

• 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",
  Journal of Modern Dynamics Volume 2, No. 4, 2008, 701-718, or arXiv:0805.2376. Download paper in pdf-format.

• with E. Dryden, "Huber's theorem for hyperbolic orbisurfaces", Canadian Mathematical Bulletin, 52, 2009, 66-71,
  math.SP/0504571. Download paper in pdf-format.

• with D. Jakobson, "High energy limits of Laplace-type and Dirac-type eigenfunctions and frame flows."
  Announced in ERA-AMS 12 (2006), 87-94. Full version appeared in
  Commun. Math. Phys. 270 (2007), no. 3, 813-833. Download paper in pdf-format.

• "On Noncommutative and pseudo-Riemannian Geometry",
  Journal of Geometry and Physics 56/2, 175-195 (2005), or math-ph/0110001. Download paper in pdf-format.

• "Analytic Continuation of Resolvent Kernels on noncompact Symmetric Spaces",
  Math. Z. 250, 411-425 (2005), or math.FA/0310395.
  Click here to get the published version from Springer. Download paper in pdf-format.

• with R. Verch and M. Wollenberg, "Microlocal analysis of quantum fields on curved spacetimes:
  Analytic wavefront sets and Reeh-Schlieder theorems",
  J. Math. Phys. 43 (2002) 5514-5530 , or math-ph/0202003. Download paper in pdf-format.

• With H. Grosse and Christian W. Rupp: "Fuzzy Line Bundles,
  the Chern Character and Topological Charges over the Fuzzy Sphere",
  J. Geom. Phys. 42 (2002) 54-63, or math-ph/0105033. Download paper in pdf-format.

• with C. Baer: "Semi-Bounded Restrictions of Dirac Type Operators and the Unique Continuation Property",
  Diff. Geom. Appl. 15 (2001) 175-182, or math-ph/0004002. Download paper in pdf-format.

• "The Reeh-Schlieder Property for Quantum Fields on Stationary Spacetimes",
  Commun. Math. Phys. 215 (2000) 1, 105-118, or math-ph/0002054.
  Click here to get the published version from Springer. Download paper in pdf-format.

• "On the local structure of the Klein-Gordon field on curved spacetimes",
  Lett. Math. Phys. 54 (2000) 249-261, or math-ph/0008043. Download paper in pdf-format.

• with H. Grosse: "Towards a Nonperturbative Covariant Regularization in 4D Quantum Field Theory",
  Lett. Math. Phys. 48 (1999) 163-179, or hep-th/9902138. Download paper in pdf-format.

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:

• with Ville Uski: Hypermodes. A program to compute eigenvalues and eigenfunctions for the Laplace operator on hyperbolic surfaces of genus 2. This program is published under GPLv3. The description and source code can be downloaded here.
  

PhD-Thesis:

• 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.