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 Research Report for 2012

Abteilung für Reine Mathematik

Prof. Dr. Ernst Kuwert

Eckerstraße 1
79104 Freiburg
Tel: +49 (0) 761 203-5585 Fax: +49 (0) 761 203-5541
Email ernst.kuwert@math.uni-freiburg.de
http://home.mathematik.uni-freiburg.de/kuwert/


Scientific Employees

  • Dr. Annibale Magni, Postdoc (m)
  • Dr. Yann Bernard, Postdoc (m), SFB/Transregio 71
  • Dipl.-Math. André Ludwig, Doktorand (m), SFB/Transregio 71
  • Dipl. Math. Marco Mattuschka, Doktorand (m)
  • Dipl. Math. Elena Mäder, Doktorand (w)
Entries in "Who is Who"

Main Research

  • Partielle Differentialgleichungen, Geometrische Analysis, Variationsrechnung, Willmorefunktional

Scientific and Research Projects


  • SFB/Transregio 71 "Geometric Partial Differential Equations", Freiburg/Tübingen
    • Project Manager: Prof. Dr. Ernst Kuwert (Sprecher)
    • Start/End of project: 2009 until 2013
    • Project Details
  • Project A3 of SFB/Transregio 71: Topology of Partitioning Surfaces.
    • Project Manager: Prof. Dr. Ernst Kuwert
    • Start/End of project: 2009 until 2013
    • Project Details
  • Project B3 of SFB/Transregio 71: Minimizers of the Willmore Functional with Prescribed Area and Enclosed Volume.
    • Project Manager: Prof. Dr. Ernst Kuwert
    • Start/End of project: 2009 until 2013
    • Project Details

Scientific publications

Journal Articles:
  • Breuning, P.: Compactness of immersions with local Lipschitz representation. Ann. Inst. H. Poincaré Anal. Non Linéaire, 2012; 29: 545-572.
  • Kuwert, E., Li, Y.: W2,2-conformal immersions of a closed Riemann surface into Rn. Comm. Anal. Geom., 2012; 20 (2): 313-340.
  • Kuwert, E., Schätzle, R.: Closed surfaces with bounds on their Willmore energy. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 2012; 11 (3) Suppl. 5: 605-634.
  • Schygulla, J.: Willmore minimizers with prescribed isoperimetric ratio. Arch. Ration. Mech. Anal., 2012; 203: 901-941.
  • Simon, M.: Ricci flow of almost non-negatively curved three manifolds. J. Reine Angew. Math., 2012; 662: 59-94.
Book Chapters:
  • Kuwert, E., Schätzle, R.: The Willmore functional. In: Topics in modern regularity theory, Pisa: Ed. Norm., 2012; 1-115 (CRM Series, 13).

Special Scientific Activities

Veranstaltung:
  • Workshop on Geometric Analysis: Veranstalter (mit T. Lamm), Frankfurt, 27.03.2012 bis 30.03.2012.

Scientific Dissertations

Degree Dissertations
  • Lorenz, Johannes: Die zweite Variation des Willmore-Funktionals und constrained Willmore tori in S3 , 2012.
  • Mattuschka, Marco: Normal Coulomb Frames über konformen Flächen mit zweiter Fundamentalform in L2, 2012.
Bachelor
  • Winkelmann, Sonja: BV-Funktionen, Γ-Konvergenz und das Theorem von Modica, 2012.
State Examinations
  • Siegel, Anna: Existenz und Regularität von Kürzesten, 2012.