Prof. Dr. Frank Kutzschebauch

Member of Institute Management

Mathematisches Institut (MAI)

Telefon
+41 31 631 88 36
Fax
+41 31 631 85 10
E-Mail
frank.kutzschebauch@math.unibe.ch
Büro
213a
Postadresse
Universität Bern
Mathematisches Institut (MAI)
Sidlerstrasse 5
3012 Bern
Schweiz
Sprechstunde
nach Vereinbarung
Short Biography Education
  • Master of Science in Mathematics and Physics. Leningrad State University, 1991
  • PhD. Ruhr-Universität Bochum, 1994
  • Habilitation, Uppsala University, 2001
Positions
  • Stipendiary of Graduiertenkolleg ”Geometry and Mathematical Physics” and Teaching
    Assistant at Ruhr-Universität Bochum from October 1991 till September 1994
  • Assistent (Assistant Professor) at Basel University from October 1994 till March 1998
  • Lehrbeauftragter (Lektor) at Basel University from April 1998 till September 1999
  • Forskarassistent (Research Assistant Professor) at Uppsala
    University from October 1999 till January 2002
  • Full professor at Mid Sweden University from February 2002 till March 2007 (chair for Complex Analysis)
  • Full professor at Universität Bern (chair for Geometry) from March 2005
Research Areas
  • Complex Analytic Geometry
  • Real Analytic Geometry
  • Transformation Groups
  • Kutzschebauch, F.: A new proof of Carleson’s embedding theorem for the ball. Vestnik Sankt Peterburg Univ. Math 25 (1992), 58–60
  • Heinzner, P.; Kutzschebauch, F.: Le principe d’Oka équivariant. C.R. Acad. Sci. Paris. 315 Nr.1, 1265–1267 (1992)
  • Heinzner, P.; Kutzschebauch, F.: An equivariant version of Grauert’s Oka principle. Invent. math. 119, 317–346 (1995)
  • Heinzner, P.; Huckleberry, A. T.; Kutzschebauch, F.: A real analytic version of Abels’ Theorem and complexification of proper Lie group actions. Lecture Notes in Pure and Appl. Math. 173, Decker New York 1996.
  • Kutzschebauch, F.: On the uniqueness of the analyticity of a proper G-action. Manu. Math. 90, 17–22 (1996)
  • Kraft, H, Kutzschebauch, F.: Equivariant line bundles and linearization. Math. Res. Letters 3, 619–627 (1996)
  • Derksen, H., Kutzschebauch, F.: Nonlinearizable holomorphic group actions. Math. Ann. 311, 41–53 (1998)
  • Kutzschebauch, F.: Compact and reductive subgroups of the group of holomorphic automorphisms of Cn. RIMS Kokyuroku 1033, 81–94 (1998)
  • Derksen, H., Kutzschebauch, F.: Global holomorphic linearization of actions of compact Lie groups on Cn. Contemporary Math. 222, 201–211 (1998)
  • Derksen, H., Kutzschebauch, F., Winkelmann, J.: Subvarieties of Cn with Non-Extendible Automorphisms. J. reine angew. Math. 508, 213–235 (1999)
  • Kutzschebauch, F., Loose F.: Real analytic structures on a symplectic manifold. Proc. Amer. Math. Soc. 128, 3009–3016 (2000)
  • Kutzschebauch, F.: Andersèn-Lempert-theory with parameters: a representation theoretic point of view. J. Algebra Appl. 4, no. 3, 325–340 (2005)
  • Ekholm, T., Kutzschebauch, F.: Total curvature and area of curves with cusps and of surface maps. Math. Scand. 96, no. 2, 224–242 (2005)
  • Kutzschebauch, F.: Some results on embedding Stein spaces with interpolation. Ark. Mat. 43, no. 2, 419–425. (2005)
  • Borell, S., Kutzschebauch, F.: Non-equivalent embeddings into complex euclidean spaces. Intern. J. of Math. 17, no. 9 1033–1046 (2006)
  • Forstnerič, F., Ivarsson, B., Kutzschebauch, F., Prezelj, J.: An interpolation theorem for proper holomorphic embeddings. Math. Ann. 338, no.3, 545–554 (2007)
  • Kaliman, S., Kutzschebauch, F.: Density property for hypersurfaces uv = f(x). Math. Z. 258, no. 1, 115–131 (2008)
  • Kaliman, S., Kutzschebauch, F.: Criteria for the density property of complex manifolds. Invent. math. 172, no. 1, 71–87 (2008)
  • Borel, S., Kutzschebauch, F.: Embeddings through discrete sets of balls. Ark. Mat. 46 (2008), no. 2, 251–269
  • Borel, S., Kutzschebauch, F., Wold E.F.: Proper holomorphic discs in the complement of varieties in C2. Math. Res. Lett. 15 (2008), no. 4, 821–826.
  • Ivarsson, B., Kutzschebauch, F.: A solution of Gromov's Vaserstein problem. C. R. Math. Acad. Sci. Paris 346 (2008), no. 23-24, 1239–1243
  • Kutzschebauch, F., Løw, E., Wold E. F.: Embedding some Riemann surfaces into C2 with interpolation. Math. Z. 262 (2009), no. 3, 603–611
  • Kaliman, S., Kutzschebauch, F.: The algebraic volume density property for affine algebraic manifolds, Invent. Math. 181 (2010), 605–647
  • Baader, S., Kutzschebauch, F., Wold E.F.: 0. Knotted holomorphic discs in C2. J. Reine Angew. Math. 648 (2010), 69 - 73
  • Kutzschebauch, F., Lind, A.: Holomorphic Automorphisms of Danielewski surfaces I - density of the group of overshears. Proc. Amer. Math. Soc. 139 (2011), no. 11, 3915 - 3927
  • Ivarsson, B., Kutzschebauch, F.: Holomorphic factorization of mappings into SLn (C). Ann. Math. 175 (2012), no. 1., 45 - 69
  • Ivarsson, B., Kutzschebauch, F.: On the number of factors in the unipotent factorization of holomorphic mappings into SL2 (C). Proc. Amer. Math. Soc. 140 (2012), 823 - 838

 

 

Current PhD Students

Completed PhD Theses

Dissertationen Prof. Dr. Frank Kutzschebauch
Stefan Borell
Holomorphic embeddings and Eisenman hyperbolicity.                                                        
Sam Lodin
Holomorphic embeddings and applications, Mid Sweden University 2009.
Andreas Lind
Holomorphic automorphisms of Danielevski surfaces, Mid Sweden University 2009.
Rafael B. Andrist
Topics in Complex Geometry, Universität Bern 2011.

Current PhD Students

Completed PhD Theses

Masterarbeiten Prof. Dr. Frank Kutzschebauch
Manuela Stucki
Polynomiale Automorphismen der affinen Ebene C2.                                                      
Anita Schlüchter
The diffeomorphism group Diff(Rn) is not generated by overshears.
Rafael B. Andrist
Fatou-Bieberbach-Gebiete mit glattem Rand. 2007.
Bruno Schär
The group of overshears is dense in the diffeomorphism group of Rn. 2007.
Sofia Ljungberg
Game Theory. 2004. (Mid Sweden University).