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Prof Alexander Strohmaier

Professor of Analysis
Pure Mathematics

Contact details

Room: 11.10
Tel: +44 (0)113 3438884
Email: A.Strohmaier @


Spectral theory
Differential operators on manifolds
Index theory
Fourier integral operators
Pseudodifferential operators
Quantum Chaos

Research interests

My research is mainly in the analysis of partial differential operators. This includes spectral theory of elliptic partial differential operators on manifolds, scattering theory, parametrix constructions, index theory for elliptic and non-elliptic operators, Fourier- and pseudo-differential operators. I am also interested in applications in physics, in particular quantum physics, number theory, and geometry.

Useful links

Personal Webpage

Current postgraduate students

Joseph Cook (2017)


Li L, Strohmaier A Heat kernel estimates for general boundary problems Journal of Spectral Theory, 6, 903-919, 2016
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BÃ r C, Strohmaier A A Rigorous Geometric Derivation of the Chiral Anomaly in Curved Backgrounds Communications in Mathematical Physics, 347, 703-721, 2016
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Li L, Strohmaier A The local counting function of operators of Dirac and Laplace type Journal of Geometry and Physics, 104, 204-228, 2016
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Mroz K, Strohmaier A Riesz means of the counting function of the Laplace operator on compact manifolds of non-positive curvature Journal of Spectral Theory, 6, 629-642, 2016

Finster F, Strohmaier A Gupta–Bleuler Quantization of the Maxwell Field in Globally Hyperbolic Space-Times Annales Henri Poincaré, 16, 1837-1868, 2015
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Jakobson D, Safarov Y, Strohmaier A, Colin de Verdière Y The semiclassical theory of discontinuous systems and ray-splitting billiards American Journal of Mathematics, 137, 859-906, 2015
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Mroz K, Strohmaier A Explicit bounds on eigenfunctions and spectral functions oń manifolds hyperbolic near a point Journal of the London Mathematical Society, 89, 917-940, 2014
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Hunsicker E, Roidos N, Strohmaier A Scattering theory of the $p$-form Laplacian on manifolds with generalized cusps Journal of Spectral Theory, 4, 177-209, 2014
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Müller J, Strohmaier A The theory of Hahn-meromorphic functions, a holomorphic Fredholm theorem, and its applications Analysis and PDE, 7, 745-770, 2014
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Seiler J, Strohmaier A On the noncommutative residue for projective pseudodifferential operators Journal of Differential Geometry, 94, 505-519, 2013
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Strohmaier A, Uski V An Algorithm for the Computation of Eigenvalues, Spectral Zeta Functions and Zeta-Determinants on Hyperbolic Surfaces Communications in Mathematical Physics, 317, 827-869, 2013
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Müller W, Strohmaier A Scattering at Low Energies on Manifolds with Cylindrical Ends and Stable Systoles Geometric and Functional Analysis, 20, 741-778, 2010
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Strohmaier A Microlocal analysis Lecture Notes in Physics, 786, 85-127, 2009
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Dryden EB, Strohmaier A Huber's theorem for hyperbolic orbisurfaces Canadian Mathematical Bulletin, 52, 66-71, 2009
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Jakobson D, Strohmaier A, Zelditch S On the spectrum of geometric operators on kähler manifolds Journal of Modern Dynamics, 2, 701-718, 2008
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Jakobson D, Strohmaier A High energy limits of laplace-type and dirac-type eigenFunctions and frame flows Communications in Mathematical Physics, 270, 813-833, 2007
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Jakobson D, Strohmaier A High-energy limits of laplace-type and dirac-type eigenfunctions and frame flows Electronic Research Announcements of the American Mathematical Society, 12, 87-94, 2006
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Strohmaier A On noncommutative and pseudo-Riemannian geometry Journal of Geometry and Physics, 56, 175-195, 2006
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Strohmaier A Analytic continuation of resolvent kernels on noncompact symmetric spaces Mathematische Zeitschrift, 250, 411-425, 2005
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Strohmaier A, Verch R, Wollenberg M Microlocal analysis of quantum fields on curved space-times: Analytic wave front sets and Reeh-Schlieder theorems Journal of Mathematical Physics, 43, 5514-5530, 2002
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Grosse H, Rupp CW, Strohmaier A Fuzzy line bundles, the Chern character and topological charges over the fuzzy sphere Journal of Geometry and Physics, 42, 54-63, 2002
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Bär C, Strohmaier A Semi-bounded restrictions of Dirac type operators and the unique continuation property Differential Geometry and its Application, 15, 175-182, 2001
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Strohmaier A The Reeh-Schlieder property for quantum fields on stationary spacetimes Communications in Mathematical Physics, 215, 105-118, 2000
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Strohmaier A On the local structure of the Klein-Gordon field on curved spacetimes Letters in Mathematical Physics, 54, 249-261, 2000
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Grosse H, Strohmaier A Noncommutative geometry and the regularization problem of 4D quantum field theory Letters in Mathematical Physics, 48, 163-179, 1999
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Strohmaier A Computation of eigenvalues, spectral zeta functions and zeta-determinants on hyperbolic surfaces Journal of the American Mathematical Society