# School of Mathematics

## Prof Alexander Strohmaier

Professor of Analysis

Pure Mathematics

### Contact details

Room: 11.10

Tel: +44 (0)113 3438884

Email: A.Strohmaier @ leeds.ac.uk

### Keywords

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

## Current postgraduate students

Joseph Cook (2017)

## Publications

**Li L, Strohmaier A** Heat kernel estimates for general boundary problems *Journal of Spectral Theory*, **6**, 903-919, 2016

DOI:10.4171/JST/147

View abstract

**BÃ r C, Strohmaier A** A Rigorous Geometric Derivation of the Chiral Anomaly in Curved Backgrounds *Communications in Mathematical Physics*, **347**, 703-721, 2016

DOI:10.1007/s00220-016-2664-1

View abstract

**Li L, Strohmaier A** The local counting function of operators of Dirac and Laplace type *Journal of Geometry and Physics*, **104**, 204-228, 2016

DOI:10.1016/j.geomphys.2016.02.006

View abstract

**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

DOI:10.4171/JST/134

**Finster F, Strohmaier A** Gupta–Bleuler Quantization of the Maxwell Field in Globally Hyperbolic Space-Times *Annales Henri Poincaré*, **16**, 1837-1868, 2015

DOI:10.1007/s00023-014-0363-z

View abstract

**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

DOI:10.1353/ajm.2015.0027

View abstract

**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

DOI:10.1112/jlms/jdu010

View abstract

**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

DOI:10.4171/JST/66

View abstract

**Müller J, Strohmaier A** The theory of Hahn-meromorphic functions, a holomorphic Fredholm theorem, and its applications *Analysis and PDE*, **7**, 745-770, 2014

DOI:10.2140/apde.2014.7.745

View abstract

**Seiler J, Strohmaier A** On the noncommutative residue for projective pseudodifferential operators *Journal of Differential Geometry*, **94**, 505-519, 2013

View abstract

**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

DOI:10.1007/s00220-012-1557-1

View abstract

**Müller W, Strohmaier A** Scattering at Low Energies on Manifolds with Cylindrical Ends and Stable Systoles *Geometric and Functional Analysis*, **20**, 741-778, 2010

DOI:10.1007/s00039-010-0079-2

View abstract

**Strohmaier A** Microlocal analysis *Lecture Notes in Physics*, **786**, 85-127, 2009

DOI:10.1007/978-3-642-02780-2_4

View abstract

**Dryden EB, Strohmaier A** Huber's theorem for hyperbolic orbisurfaces *Canadian Mathematical Bulletin*, **52**, 66-71, 2009

DOI:10.4153/CMB-2009-008-0

View abstract

**Jakobson D, Strohmaier A, Zelditch S** On the spectrum of geometric operators on kähler manifolds *Journal of Modern Dynamics*, **2**, 701-718, 2008

DOI:10.3934/jmd.2008.2.701

View abstract

**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

DOI:10.1007/s00220-006-0176-0

View abstract

**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

DOI:10.1090/S1079-6762-06-00164-8

View abstract

**Strohmaier A** On noncommutative and pseudo-Riemannian geometry *Journal of Geometry and Physics*, **56**, 175-195, 2006

DOI:10.1016/j.geomphys.2005.01.005

View abstract

**Strohmaier A** Analytic continuation of resolvent kernels on noncompact symmetric spaces *Mathematische Zeitschrift*, **250**, 411-425, 2005

DOI:10.1007/s00209-004-0760-y

View abstract

**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

DOI:10.1063/1.1506381

View abstract

**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

DOI:10.1016/S0393-0440(01)00072-9

View abstract

**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

DOI:10.1016/S0926-2245(01)00056-0

View abstract

**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

View abstract

**Strohmaier A** Computation of eigenvalues, spectral zeta functions and zeta-determinants on hyperbolic surfaces *Journal of the American Mathematical Society*

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