· Hyperbolic Groups and Non-Compact Real Algebraic Curves, with S. Natanzon, to appear, arXiv:2009.00082.
· Complex Hyperbolic Triangle Groups of Type [m,m,0;3,3,2], with S. Povall, Conformal Geometry and Dynamics 24 (2020), 51-67, arXiv:math.GT/1901.01572, [preprint version].
· Symmetries of Tilings of Lorentz Spaces, with N. Bin Turki, Moscow Mathematical Journal 20 (2020), 257-276, [preprint version].
· Two Series of Polyhedral Fundamental Domains for Lorentz Bi-Quotients, with N. Bin Turki, Differential Geometry and its Applications 68 (2020), arXiv:math.DG/1903/01011, [preprint version].
· Discreteness of Ultra-Parallel Complex Hyperbolic Triangle Groups of Type [m_1,m_2,0], with A. Monaghan and J.R. Parker, Journal of the London Mathematical Society 100 (2019), 545-567, arxiv:math.GT/1807.03211, [preprint version].
· Moduli Spaces of Higher Spin Klein Surfaces, with S. Natanzon, Moscow Mathematical Journal 17 (2017), 327-349, arXiv:math.AG/1506.03511, [preprint version].
· Classification of m-Spin Klein Surfaces, with S. Natanzon, Russian Mathematical Surveys 71 (2016), 382-384.
· Higher Spin Klein Surfaces, with S. Natanzon, Moscow Mathematical Journal 16 (2016), 95-124, arXiv:math.AG/1502.06546, [preprint version].
· Topological Invariants and Moduli of Gorenstein Singularities, with S. Natanzon, Journal of Singularities 7 (2013), 61-87, math.AG/1010.1111, [preprint version].
· Moduli Spaces of Gorenstein Quasi-Homogeneous Surface Singularities, with S. Natanzon, Russian Mathematical Surveys 66 (2011), 1009-1011.
· The Combinatorial Geometry of Q-Gorenstein Quasi-Homogeneous Surface Singularities, Diff. Geometry and its Appl. 29 (2011), 507-515, arXiv:math.DG/1006.4021, [preprint version].
· Non-Discrete Complex Hyperbolic Triangle Groups of Type (m,m,infinity), Bulletin of the London Mathematical Society 43 (2011), 359-363, arXiv:math.DG/1004.5434, [preprint version].
· Higher Arf Functions and Moduli Space of Higher Spin Surfaces, with S. Natanzon, Journal of Lie Theory 19 (2009), 107-148, arXiv:math.AG/0411375, [pdf]
· Fundamental domains in Lorentzian geometry, Geometriae Dedicata 126 (2007), 155-175, arxiv:math.DG/0308279, [pdf]
· On the Link Space of a ℚ-Gorenstein Quasi-Homogeneous Surface Singularity, Proceedings of the VIII Workshop on Real and Complex Singularities at CIRM (Luminy), Birkhaeuser 2007, 311-325, [pdf]
· The topology of m-spinor structures on Riemann surfaces, with S. Natanzon, Russian Mathematical Surveys 60 (2005), 363-364.
· Traces in Complex Hyperbolic Triangle Groups, Geometriae Dedicata 111 (2005), 159-185, arXiv:math.DG/0402153, [pdf]
· The Combinatorial Geometry of Singularities and Arnold's Series E, Z, Q, with E. Brieskorn and F. Rothenhäusler, Moscow Mathematical Journal 3 (2003), 273-333, [pdf]
Theses
·
Ph.D.
Thesis (in German), Polyhedral Fundamental Domains of Discrete Subgroups of SU(1,1)~, University of Bonn, 2001,[pdf], published in Bonner Mathematische
Schriften Nr. 346.
·
Diploma
Thesis (in German), On Fundamental Domains of Discrete Subgroups of SU(1,1), University of Bonn, 1998, [pdf].