Publications:

• Methoden der optimalen Kontrolltheorie in der geometrischen Funktionentheorie,
  diploma thesis, Würzburg, 1995.
  

• Control Theory in H(D),
  Ph.D.thesis, Würzburg, 1998; Tectum Verlag, Marburg, 1998, ISBN 3-8288-0512-2.
  

• On the Taylor coefficients for powers of the derivative of univalent functions,
  Journal of Analysis 6 , 131-138, 1998.
  

• A remark on the Loewner differential equation,
  Proceedings of the CMFT'97 in Nicosia, Cyprus (1997), Computational Methods and Function Theory 1997, N. Papamichael, St. Ruscheweyh, E. Saff (eds.), World Scientific, 1999, 461-469.
  

• Pontryagin's maximum principle in geometric function theory,
  Complex Variables 41, 391-426, 2000.
  

• A coefficient problem for univalent functions related to two-point distortion theorems,
  (with Richard Greiner )
  Rocky Mountain J. Math. 31 no. 1, 261-283, 2001.
  

• On support points of univalent functions and a disproof of a conjecture of Bombieri,
  (with Richard Greiner )
  Proc. Amer. Math. Soc. 129 no. 12, 3657-3664, 2001.
  

• A distortion theorem for bounded univalent functions,
  Ann. Acad. Sci. Fenn. Math. 27, 257-272, 2002.
  
• Taylor coefficients of negative powers of schlicht functions,
  (with Karl-Joachim Wirths)
  Computational Methods and Function Theory 1 no. 2, 521-533, 2001.
  
• On the radius of convexity of linear combinations of univalent functions and their derivatives,
  (with Richard Greiner)
  Math. Nachr. 254-255, 153-164, 2003.
• A nonlinear extremal problem for Bloch functions with applications to geometric function theory,
  Arch. Math. 81, 655-665, 2003.
• Distortion theorems for bounded univalent functions,
  Analysis 23, 347-369, 2003.
• On the local extremum property of the Koebe function,
  (with Dmitri Prokhorov)
  Math. Proc. Cambr. Phil. Soc. 136, 301-312, 2004.
• Helmut Grunsky. Collected Papers
  (with Stephan Ruscheweyh)
  Heldermann Verlag, 530 pages, ISBN 3-88538-501-5, 2004.
• A generalization of Bertilsson's theorem,
  (with Karl-Joachim Wirths)
  Bull. Belg. Math. Soc. 12, 53-63, 2005.
  
• Weighted distortion in conformal mapping in euclidean, hyperbolic and elliptic geometry,
  (with Daniela Kraus)
  Ann. Acad. Sci. Fenn. Math. 31, 111-130, 2006.
  
• A general conformal geometric reflection principle,
  Trans. Amer. Math. Soc. 359 No. 6, 2501-2529, 2007.
  PS-file PDF-file (you need access to the journal homepage)
• A sharp inequality for the logarithmic coefficients of univalent functions,
  Proc. Amer. Math. Soc. 135 No. 7, 2051-2054, 2007.
  PS-file PDF-file (you need access to the journal homepage)
• A boundary version of Ahlfors' Lemma, locally complete conformal metrics and conformally invariant reflection principles for analytic maps,
  (with Daniela Kraus and Stephan Ruscheweyh)
  J. d'Analyse Math. 101, 219-256, 2007.

• An extension of Lewis's lemma, renormalization of harmonic and analytic functions, and normal families,
  (with Jürgen Grahl)
  Math. Nachr. 282 No. 4, 540-551, 2009.
  

• Critical points of inner functions, nonlinear partial differential equations, and an extension of Liouville's theorem,
  (with Daniela Kraus)
  J. London Math. Soc. 77 No. 1, 183-202, 2008.
  PDF-File

• A note on generating functions for Hausdorff moment sequences
  (with Stephan Ruscheweyh and Luis Salinas)
  Proc. Amer. Math. Soc. 136 No. 9, 3171-3176, 2008.
  PDF-File (you need access to the journal homepage)

• The behaviour of solutions of the Gaussian curvature equation near an isolated boundary point
  (with Daniela Kraus)
  Math. Proc. Cambridge Phil. Soc. 145, 643-667, 2008.
  see arXiv
  

• Beurling's free boundary value problem in conformal geometry
  (with Florian Bauer, Daniela Kraus and Elias Wegert)
  Israel Journal Math. 180, 223-254, 2010
  see arXiv
  

• On the isolated singularities of the solutions of the Gaussian curvature equation for nonnegative curvature
  (with Daniela Kraus)
  J. Math. Anal. Appl. 345 No. 2, 628-631, 2008.
  see arXiv

• The Loewner and Hadamard variations
  (with Eric Schippers)
  Illinois J. Math. 52 No. 4, 1399-1415, 2008.

• Conformal Metrics
  (with Daniela Kraus)
  to appear Lecture Notes Ramanujan Math. Society
  see arXiv:0805.2235

• Metrics with conical singularities on the sphere and sharp extensions of the theorems of Landau and Schottky
  (with Daniela Kraus and Toshiyuki Sugawa)
  Math. Z. 267 No. 3-4, 851-868, 2011.
  

• On Beurling's boundary value problem in Circle Packing
  (with Daniela Kraus and Elias Wegert)
  Complex Variables and Elliptic Equations 57 No. 2-4, 397-410, 2012.
  

• Critical points, the Gauss curvature equation and Blaschke products
  (with Daniela Kraus)
  Fields Institute Comm. 65, 133-157, 2012,
  see arXiv

• Maximal Blaschke products
  (with Daniela Kraus)
  Adv. Math. 241, 58-78, 2013.
  

• Composition and decomposition of indestructible Blaschke products
  (with Daniela Kraus)
  Comp. Methods Function Theory 13, 253-262, 2013.
  PDF
  

• Rogosinski's lemma for univalent functions, hyperbolic Archimedean spirals, and the Loewner equation
  (with Sebastian Schleißinger)
  submitted.

• The chordal Loewner equation for multiple slits
  (with Sebastian Schleißinger)
  submitted.

• Schiffer's differential equation from a semigroup point of view
  (with Eric Schippers)
  In preparation

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  Last Updated: 13-May-13