Preprints
- A Schwarz lemma for locally univalent meromorphic
functions and normal families
(with Richard Fournier and
Daniela
Kraus)
Publications
- A convergent star product on the Poincaré disc
(with
Matthias Schötz, Stefan
Waldmann and Daniela
Kraus)
to appear in: J. Funct. Anal.
see arXiv:1803.02763
- Jack and Julia
(with Richard Fournier)
to appear in: CRM Proc. Lecture Notes
- Universal locally univalent functions and universal conformal
metrics with constant curvature
(with Daniel Pohl)
to appear in: Constr. Approx.
see arXiv:1709.10454
- Is there a Teichmüller principle in higher dimensions?
to appear in: Geometric Function Theory in Higher Dimension,
Springer
2017.
see arXiv:1704.07418
- Support points and the Bieberbach conjecture in higher dimension
(with
Filippo Bracci)
in Complex Analysis and Dynamical Systems, Springer 2018,
67-79.
- Strong submultiplicativity of the Poincaré metric
(with
Daniela Kraus)
J. Anal. 24, 39-50, 2016.
- Sharp lower bounds for the hyperbolic metric of the complement of
a
closed subset
of the unit circle and theorems of Schwarz-Pick-, Schottky- and
Landau-type for
analytic functions
(with Daniela
Kraus)
Constr. Approx. 43, 47-69, 2016.
- Pontryagin's maximum principle for the Loewner equation in higher
dimensions
Canad. J. Math. 67 (4), 942-960, 2015.
(arXiv:1402.6896)
- Rogosinski's lemma for univalent functions, hyperbolic Archimedean
spirals and the Loewner equation
(with
Sebastian Schleißinger)
Bull. London Math. Soc. 46, 1099-1109, 2014.
- The Schramm-Loewner equation for multiple slits
(with
Sebastian Schleißinger)
J. d'Analyse Math. to appear;
(see
arXiv:1311.0672)
- Composition and decomposition of indestructible Blaschke
products
(with Daniela
Kraus)
Comp. Methods Funct. Theory 13 No. 2, 253-262,
2013.
- Maximal Blaschke products
(with Daniela
Kraus)
Adv. Math. 241, 58-78, 2013.
- Critical points, the Gauss curvature equation and
Blaschke products
(with Daniela
Kraus)
Fields Institute Comm. 65, 133-157, 2012.
- 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.
- 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.
- Conformal Metrics
(with Daniela
Kraus)
Ramanujan Math. Society,
Lecture Notes Series 19, 41-83, 2013.
see
arXiv:0805.2235
- The Loewner and Hadamard variations
(with Eric Schippers)
Illinois J. Math. 52 No. 4, 1399-1415, 2008.
-
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.
-
Beurling's free boundary value problem in conformal geometry
(with Florian Bauer, Daniela
Kraus and
Elias Wegert)
Israel Journal Math. 180, 223-254, 2010
-
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.
-
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.
-
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.
-
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.
-
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.
-
A sharp inequality for the logarithmic coefficients of univalent
functions,
Proc. Amer. Math. Soc. 135 No. 7, 2051-2054, 2007.
-
A general conformal geometric reflection principle,
Trans. Amer. Math. Soc. 359 No. 6, 2501-2529, 2007.
-
Weighted distortion in conformal mapping in euclidean,
hyperbolic and elliptic geometry,
(with
Daniela Kraus)
Ann. Acad. Sci. Fenn. Math. 31, 111-130, 2006.
-
A generalization of Bertilsson's theorem,
(with Karl-Joachim Wirths)
Bull. Belg. Math. Soc.
12, 53-63, 2005.
-
Helmut Grunsky. Collected Papers
(with Stephan Ruscheweyh)
Heldermann Verlag, 530 pages, ISBN 3-88538-501-5, 2004.
-
On the local extremum property of the Koebe function,
(with Dmitri Prokhorov)
Math. Proc. Cambr. Phil. Soc.
136, 301-312, 2004.
-
Distortion theorems for bounded univalent functions,
Analysis 23, 347-369, 2003.
-
A nonlinear extremal problem for Bloch functions with applications to
geometric function theory,
Arch. Math. 81, 655-665, 2003.
-
On the radius of convexity of linear combinations of univalent functions and their derivatives,
(with
Richard Greiner)
Math. Nachr. 254-255, 153-164, 2003.
-
Taylor coefficients of negative powers of schlicht functions,
(with Karl-Joachim Wirths)
Computational Methods and Function Theory 1 no. 2, 521-533,
2001.
-
A distortion theorem for bounded univalent functions,
Ann. Acad. Sci. Fenn. Math. 27, 257-272, 2002.
-
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 coefficient problem for univalent functions related to
two-point distortion theorems,
(with
Richard Greiner
)
Rocky Mountain J. Math. 31 no. 1, 261-283, 2001.
- Pontryagin's maximum principle in geometric function
theory,
Complex Variables 41, 391-426, 2000.
-
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.
- On the Taylor coefficients for powers
of the derivative of univalent functions,
Journal of Analysis 6 , 131-138, 1998.