UZH - Institute of Mathematics

Vita

Vita von Prof. Dr. Viktor Schroeder

Persönliche Daten

Geburtsdatum: 3.12.1955

Geburtsort: Düren, Nordrhein-Westfalen, Deutschland

Ausbildung

1962-1966: Katholische Volksschule in Birkesdorf

1966-1974: Stiftisches Gymnasium in Düren, Abitur am 2.7.1974

1974-1975: Grundwehrdienst

1.10.1975-31.3.1977: Studium der Mathematik und der Philosophie an der Universität Bonn. Vorlesungen u.a. bei den Professoren Lieb, Scharff-Knappe, Hirzebruch, Scherer und Hasenjäger. Vordiplom im Dezember 1977.

1.4.1977-30.9.1980: Studium der Mathematik und der mathematischen Logik an der Universität Münster. Ausbildung u.a. bei den Professoren Meyer, Heintze, Forster und Rödding. Diplom am 1.10.1980 bei Prof. W. Meyer.

1.10.1980-31.7.1984: Wissenschaftlicher Mitarbeiter am Mathematischen Institut in Münster. Am 26.10.1983 Promotion bei Prof. W. Meyer (summa cum laude).

1.8.1984-31.7.1985: Fellow am Mathematical Sciences Research Institute in Berkeley, Kalifornien

1.10.1985-30.9.1986: Stipendiat des schweizerischen Nationalfonds an der Universität Basel

1.10.1986-31.3.1988: Hochschulassistent in Münster, Habilitation am 18.12.1987

Positionen

1.4.1988-30.9.1988: Mitarbeiter am Instituto de Matematica Pura e Aplicada in Rio de Janeiro

1.10.1988-31.3.1989: Lehrstuhlvertretung für Prof. M. Barner in Freiburg/Breisgau

1.4.1989-31.3.1990: Privatdozent und Hochschulassistent in Münster. Am 20.2. Bewilligung eines Heisenberg Stipendiums der Deutschen Forschungsgemeinschaft.

1.4.1990-14.4.1993: C-3 Professor in Freiburg/Breisgau

ab 15.4.1993: Ordinarius an der Universität Zürich

Publikationen

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University of Zürich - open access archive

Books

Bruno Colbois, Christine Riedtmann, Viktor Schroeder (2010). math.ch/100
Schweizerische Mathematische Gesellschaft
1910-2010. EMS, Publishing House, 2010

Viktor Schroeder, Sergei Buyalo. Elements of Asymptotic Geometry. EMS Monographs in Mathematics, EMS Publishing House, 2007

Viktor Schroeder, Werner Ballmann, Mikhael Gromov. Manifolds of nonpositive curvature. Birkhäuser, Boston, Progress in Mathematics 61, 1985

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Publications since 1984

Viktor Schroeder, Hemangi Shah (2017). Almost maximal volume entropy

Jonas Beyrer, Viktor Schroeder (2015). Trees and ultrametric Möbius structure

Viktor Schroeder, Steffen Weil (2016). The aperiodic complexities and connections to dimensions and Diophantine approximation

Renlong Miao, Viktor Schroeder (2012). Hyperbolic Spaces and Ptolemy Moebius Structures

Ioannis Platis, Viktor Schroeder (2014). Moebius rigidity of invariant metrics in boundaries of symmetric spaces of rank 1. (published online: October 11, 2016) . 10.1007/s00605-016-0982-1

Sergei Buyalo, Viktor Schroeder (2014). Incidence axioms for the boundary at infinity of complex hyperbolic spaces

Renlong Miao, Viktor Schroeder (2012). A flat strip theorem for ptolemaic spaces

Steffen Weil, Viktor Schroeder (2013). Aperiodic sequences and Aperiodic Geodesics

Urs Lang, Viktor Schroeder (2012). On Toponogov's comparison theorem for Alexandrov spaces

Viktor Schroeder, Thomas Foertsch (2009). Metric Möbius geometry and a characterization of spheres

Sergei Buyalo, Viktor Schroeder (2012). Moebius characterization of the boundary at infinity of rank one symmetric spaces

Thomas Foertsch, Viktor Schroeder (2012). Moebius characterization of hemispheres

Thomas Foertsch, Viktor Schroeder (2012). Ptolemy circles and Ptolemy segments

Viktor Schroeder (2012). An introduction to asymptotic geometry . Strasbourg Master Class on Geometry
IRMA Lectures in Mathematics and Theoretical Physics, Vol 18, 405 - 454
Ems Publishing House, 2012. 10.4171/105

Sergei Buyalo, Viktor Schroeder (2011). Moebius structures and Ptolemy spaces: boundary at infinity of complex hyperbolic spaces. arXiv:math.MG/1012.1699

Viktor Schroeder, Thomas Foertsch (2011). Group actions on geodesic Ptolemy spaces. Trans. Amer. Math. Soc. 363, no 6, 2891 - 2906 (2011)

Viktor Schroeder, Thomas Foertsch (2011). Hyperbolicity, CAT(-1)-spaces and the Ptolemy inequality. Mathematische Annalen 350, 339 - 356 (2011)

Viktor Schroeder, Hemangi Shah (2008). On 3-dimensional Asymptotically Harmonic Manifolds. Arch. Math. 90, no 3, 275-278 (2008)

Viktor Schroeder, Thomas Foertsch, Alexander Lytchak (2007). Non-positive curvature and the Ptolemy inequality. Int. Math. Res. Not. IMRN, no 22, Art. ID rnm100, 15 pp (2007)

Viktor Schroeder, Sergei Buyalo. Spaces of Curvature bounded above. Surveys in Differential Geometry XI, 293 - 325 (2007)

Viktor Schroeder, Sergei Buyalo, Alexander Dranishnikov. Embedding of hyperbolic groups into products of binary trees. Invent. Math. 169, 153 - 192 (2007)

Viktor Schroeder, Alexander Lytchak. Affine functions on CAT-kappa-spaces. Math. Z. 255, no 2, 231 - 244 (2007)

Viktor Schroeder, Alexander Dranishnikov. Aperiodic colorings and tilings of Coxeter groups. Groups Geom. Dyn. 1, 301 - 318 (2007)

Viktor Schroeder, Sergei Buyalo. The hyperbolic dimension of metric spaces. Algebra i Analyz 19 (1), 93 - 108 (2007);
translation in St. Petersburg Math. J. 19 (1), 67 - 76 (2008)

Viktor Schroeder. Quasi-metric and metric spaces. Conform. Geom. Dyn. 10, 355 - 360 (2006)

Viktor Schroeder, Eugene Gutkin. Connecting geodesics and security of configurations in compact locally symmetric spaces. Geom. Dedicata 118, 185 - 208 (2006)

Viktor Schroeder, Alexander Dranishnikov. Embedding of hyperbolic Coxeter groups into products of binary trees and aperiodic tilings. arXiv:math.GR/0504566

Viktor Schroeder, Thomas Foertsch. A product construction for hyperbolic metric spaces. Illinois J. Math. 49, no 3, 793 - 810 (2005)

Thomas Foertsch, Viktor Schroeder (2002). Hyperbolic Rank of Products. Proc. Amer. Math. Soc. 133, no 2, 557 - 563 (2005) [pdf]

Thomas Kappeler, Viktor Schroeder, Sergei Kuksin (2002). PoincarÃ© inequalities for maps with target manifold of negative curvature. Mosc. Math. J. 5, no 2, 399 - 414 (2005) [pdf] [rev]

Viktor Schroeder, Sergei Buyalo. Embedding of hyperbolic spaces in the product of trees. Geom. Dedicata 113, 75 - 93 (2005)

Viktor Schroeder, Thomas Foertsch (2002). Products of hyperbolic metric spaces. Geom. Dedicata 102, 197 - 212 (2003) [pdf]

Andreas Bernig, Thomas Foertsch, Viktor Schroeder (2002). Non Standard Metric Products. Beiträge Algebra Geom. 44, no 2, 499 - 510 (2003) [pdf]

Viktor Schroeder, Thomas Kappeler, Sergei Kuksin (2001). Perturbations of the harmonic map equation. Commun. Contemp. Math. 5, no 4, 629 - 669 (2003) [pdf]

Viktor Schroeder, Sergei Buyalo. Hyperbolic rank and subexponential corank of metric spaces. Geom. Funct. Anal. 12, no 2, 293 - 306 (2002)

Viktor Schroeder, Thomas Foertsch (2001). Minkowski- Versus Euclidean Rank for Products of Metric Spaces. Preprint no. 13-01 (2001) [pdf]

Viktor Schroeder, Sergei Buyalo. Invariant subsets of rank 1 manifolds. Manuscripta Math. 107, no 1, 73 - 88 (2002)

Viktor Schroeder, Sergei Buyalo (2001). Extension of Lipschitz maps into 3-manifolds. Asian J. Math 5, no 4, 685 - 704 (2001)

Viktor Schroeder, Sergei Buyalo. On the asymptotic geometry of nonpositively curved graphmanifolds. Trans. AMS 353, no 3, 853 - 875 (2001)

Viktor Schroeder, Urs Lang, B. Pavlovic. Extensions of Lipschitz maps into Hadamard spaces. Geom. Funct. Anal. 10, no 6, 1527 - 1553 (2000)

Viktor Schroeder (2000). Bounded geodesics in manifolds of negative curvature. Math. Z. 235, no 4, 817 - 828 (2000)

Viktor Schroeder, Sergei Buyalo, M. Walz (2000). Geodesics avoiding open subsets in surfaces of negative curvature. Ergodic Th. Dyn. Syst. 20, 991-1006 (2000)

Viktor Schroeder, Ch. Hummel, Urs Lang (2000). Convex hulls in singular spaces of negative curvature. Ann. Global Anal. Geom. 18, 191-204 (2000)

Viktor Schroeder, Ch. Hummel (1999). Tits geometry of cocompact, real-analytic Hadamard manifolds of dimension 4. Diff. Geom. Appl. 11, 129-143 (1999)

Viktor Schroeder, Ch. Hummel (1998). Tits geometry associated with closed, real-analytic manifolds of nonpositive curvature and dimension 4. J. Diff. Geom. 48, 531-555 (1998)

Viktor Schroeder, Urs Lang (1997). Kirszbraun's theorem and metric spaces of bounded curvature. Geom. Funct. Anal. (GAFA), 7, no. 3, 535-560 (1997)

Viktor Schroeder, Urs Lang (1997). Jung's theorem for Alexandrov spaces of curvature bounded above. Ann. Global Anal. Geom. 15, no. 3, 263-275 (1997)

Viktor Schroeder, Urs Lang (1997). Quasiflats in Hadamard spaces. Ann. Sci. Ecole Norm. Sup. 30, 339-352 (1997)

Viktor Schroeder, Uwe Abresch. Analytic manifolds of nonpositive curvature. Actes de la Table Ronde de Géométrie Différentielle (Luminy, 1992), 1 - 67, Sémin. Congr. 1, Soc. Math. France, Paris, 1996

Viktor Schroeder, Susana Fornari. Ramified coverings with nonpositive curvature. Math. Z. 203, no 1, 123 - 128 (1990)

Viktor Schroeder, Ch. Hummel. Cusp closing in rank one symmetric spaces. Invent. Math. 123, no 2, 283 - 307 (1996)

Viktor Schroeder, Sebastian Goette. Totally geodesic hypersurfaces in manifolds of nonpositive curvature. Manuscripta Math. 86, no 2, 169 - 184 (1995)

Viktor Schroeder, Patrick Eberlein, Ursula Hamenstädt. Manifolds of nonpositive curvature. Differential geometry: Riemannian geometry. (Los Angeles, CA, 1990), 179 - 227; Proc. Sympos. Pure Math. 54, Part 3, Amer. Math. Soc. Providence, RI (1993)

Viktor Schroeder, Uwe Abresch. Graph manifolds, ends of negatively curved spaces and the hyperbolic 120-cell space. J. Differential Geom. 35, no 2, 299 - 336 (1992)

Viktor Schroeder, V. Bangert. Existence of flat tori in analytic manifolds of nonpositive curvature. Ann. Sci. Ecole Norm. Sup. (4) 24, no 5, 605 - 634 (1991)

Viktor Schroeder, J.-H. Eschenburg. Tits distance of Hadamard manifolds and isoparametric hypersurfaces. Geom. Dedicata 40, no 1, 97 - 101 (1991)

Viktor Schroeder. Analytic manifolds of nonpositive curvature with higher rank subspaces. Arch. Math. (Basel) 56, no 1, 81 - 85 (1991)

Viktor Schroeder, Martin Strake. Volume growth of open manifolds with nonnegative curvature. Ann. Global Anal. Geom. 8, no 2, 159 - 165 (1990)

Viktor Schroeder. Codimension one tori in manifolds of nonpositive curvature. Geom. Dedicata 33, no 3, 251 - 263 (1990)

Viktor Schroeder, Wolfgang Ziller. Local rigidity of symmetric spaces. Trans. Amer. Math. Soc. 320, no 1, 145 - 160 (1990)

Viktor Schroeder, J.-H. Eschenburg, Martin Strake. Curvature at infinity of open nonnegative curved manifolds. J. Differential Geom. 30, no 1, 155 - 166 (1989)

Viktor Schroeder, Martin Strake. Rigidity of convex domains in manifolds with nonnegative Ricci and sectional curvature. Comment. Math. Helv. 64, no 2, 173 - 186 (1989)

Viktor Schroeder. Structure of flat subspaces in low-dimensional manifolds of nonpositive curvature. Manuscripta Mat. 64, no 1, 77 - 105 (1989)

Viktor Schroeder. A cusp closing theorem. Proc. Amer. Math. Soc. 106, no 3, 797 - 802 (1989)

Viktor Schroeder, Martin Strake. Local rigidity of symmetric spaces of nonpositive curvature. Proc. Amer. Math. Soc. 106, no 2, 481 - 487 (1989)

Viktor Schroeder. Flache UnterrÃ¤ume in Mannigfaltigkeiten nichtpositiver KrÃ¼mmung. Habilitationsschrift, Univ. Münster (1988)

Viktor Schroeder. Existence of immersed tori in manifolds of nonpositive curvature. J. Reine Angew. Math. 390, 32 - 46 (1988)

Viktor Schroeder, J.-H. Eschenburg. Riemannian manifolds with flat ends. Math. Z. 196, no. 4, 573 - 589 (1987)

Viktor Schroeder, Marc Burger. Volume, diameter and the first eigenvalue of locally symmetric spaces of rank one. J. Differential Geom. 26, no 2, 273 - 284 (1987)

Viktor Schroeder, Marc Burger. Amenable groups and stabilizers of measures on the boundary of a Hadamard manifold. Math. Ann. 276, no 3, 505 - 514 (1987)

Viktor Schroeder, C.B. Croke. The fundamental group of compact manifolds without conjugate points. Comm. Math. Helv. 61, 161 - 175 (1986)

Viktor Schroeder, Michael T. Anderson. Existence of flats in manifolds of nonpositive curvature. Invent. Math. 85, 303 - 315 (1986)

Viktor Schroeder. On the fundamental group of a visibility manifold. Math. Z. 192, 347 - 351 (1986)

Viktor Schroeder. Rigidity of nonpositively curved graphmanifolds. Math. Ann. 274, 19 - 26 (1986)

Viktor Schroeder. A splitting theorem for spaces of nonpositive curvature. Invent. Math. 79, 323 - 327 (1985)

Viktor Schroeder. Finite volume and fundamental group on manifolds of negative curvature. J. Differential Geom. 20, no 1, 175 - 183 (1984)

Viktor Schroeder (1984). Ãœber die Fundamentalgruppe von RÃ¤umen nichtpositiver KrÃ¼mmung mit endlichem Volumen. Schriftenreihe des Mathematischen Instituts der Universität Münster, 2. Serie, 92 pp (1984)