Fakultät für Mathematik  |  Sebastian Herr
Universität Bielefeld, original picture by Drahreg01, used under CC BY-SA 3.0 licence
Fakultät für Mathematik

Prof. Dr. Sebastian Herr

Universität Bielefeld
Fakultät für Mathematik
Postfach 10 01 31
D-33501 Bielefeld

Dienstzimmer/Office: UHG, V4-212
Tel.: +49 (0) 521 106 4989
E-Mail: herr-XX-math.uni-bielefeld.de (ersetze -XX- durch @)
Sprechstunde: Mi., 14:00-15:00 Uhr

Sekretariat: Frau Draeger, UHG, V4-147
Tel. (Sekretariat): +49 (0) 521 106 4773
Fax (Sekretariat): +49 (0) 521 106 6462
E-Mail (Sekretariat): cdraeger-XX-math.uni-bielefeld.de (ersetze -XX- durch @)

Veranstaltungen im Wintersemester 2011/2012:

Veranstaltungen im Sommersemester 2012:


Research:

Research interests: Partial differential equations and real harmonic analysis, in particular nonlinear dispersive equations

Preprints:
  • Sebastian Herr. The quintic nonlinear Schrödinger equation on three-dimensional Zoll manifolds. American Journal of Mathematics (accepted for publication). Link to preprint
Published Research Papers:
  • Sebastian Herr, Daniel Tataru, Nikolay Tzvetkov. Strichartz estimates for partially periodic solutions to Schrödinger equations in 4d and applications. Journal für die reine und angewandte Mathematik (ahead of print, doi:10.1515/crelle-2012-0013). Link
  • Matthew D. Blair, G. Austin Ford, Sebastian Herr, Jeremy L. Marzuola. Strichartz estimates for the Schrödinger equation on polygonal domains. Journal of Geometric Analysis (2012) Vol. 22, No. 2, pp. 339-351. Link
  • Sebastian Herr, Daniel Tataru, Nikolay Tzvetkov. Global well-posedness of the energy critical Nonlinear Schrödinger equation with small initial data in H1(T3). Duke Mathematical Journal (2011) Vol. 159, No. 2, pp. 329-349. Link
  • Ioan Bejenaru, Sebastian Herr. Convolutions of singular measures and applications to the Zakharov system. Journal of Functional Analysis (2011) Vol. 261, No. 2, pp. 478-506. Link
  • Sebastian Herr, Alexandru D. Ionescu, Carlos E. Kenig, Herbert Koch. A para-differential renormalization technique for nonlinear dispersive equations. Communications in Partial Differential Equations (2010) Vol. 35, No. 10, pp. 1827-1875. Link
  • Ioan Bejenaru, Sebastian Herr, Daniel Tataru. A convolution estimate for two-dimensional hypersurfaces. Revista Matemática Iberoamericana (2010), Vol. 26, No. 2, pp. 707-728. Link
  • Ioan Bejenaru, Sebastian Herr, Justin Holmer, Daniel Tataru. On the 2D Zakharov system with L2-Schrödinger data. Nonlinearity (2009) Vol. 22, No. 5, pp. 1063-1089. Link
  • Martin Hadac, Sebastian Herr, Herbert Koch. Well-posedness and scattering for the KP-II equation in a critical space. Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire (2009) Vol. 26, No. 3, pp. 917-941. Link , Link to erratum
  • Sebastian Herr. A note on bilinear estimates and regularity of flow maps for nonlinear dispersive equations. Proceedings of the American Mathematical Society (2008) Vol. 136, No. 8, pp. 2881-2886. Link
  • Axel Grünrock, Sebastian Herr. Low regularity local well-posedness of the derivative nonlinear Schrödinger equation with periodic initial data. SIAM Journal on Mathematical Analysis (2008) Vol. 39, No. 6, pp. 1890-1920. Link
  • Sebastian Herr. Well-posedness for equations of Benjamin-Ono type. Illinois Journal of Mathematics (2007) Vol. 51, No. 3, pp. 951-976. Link
  • Sebastian Herr. On the Cauchy problem for the derivative nonlinear Schrödinger equation with periodic boundary condition. International Mathematics Research Notices Vol. 2006, Art. ID 96763, 33p. Link
Reports / Extended Abstracts:
  • Sebastian Herr. On energy critical nonlinear Schrödinger equations with (partially) periodic initial data in H1 (Report on joint work with Daniel Tataru and Nikolay Tzvetkov). In Oberwolfach Reports (2010) Vol. 7 No. 3, Report 41/2010: Nonlinear Waves and Dispersive Equations, C.E. Kenig, H. Koch, D. Tataru editors, pp. 2400-2401 Link
  • Sebastian Herr. Energy critical nonlinear Schrödinger equations in the presence of periodic geodesics (Report on joint work with Daniel Tataru and Nikolay Tzvetkov). Proceedings of the 'Journées équations aux dérivées partielles' (2010, Port d'Albret, France), Exp. No. 10, 10 p. Link
  • Sebastian Herr. The Kadomtsev-Petviashvili-II equation in critical spaces (Report on joint work with Martin Hadac and Herbert Koch). In Oberwolfach Reports (2007) Vol. 4 No. 4, Report 44/2007: Nonlinear Waves and Dispersive Equations, C.E. Kenig, H. Koch, D. Tataru editors, pp. 2623-2625 Link

Werdegang:

Diplom (2003) und Promotion (2006) in Dortmund. Danach Postdoc in Bonn und zwischenzeitlich Postdoc und Charles B. Morrey Assistant Professor in Berkeley (USA) sowie Professurvertreter in Düsseldorf. Seit 2011 Professor für Mathematik, insbesondere Analysis, in Bielefeld.