Dr. Sebastian Heller
Mathematisches Institut
Auf der Morgenstelle 10
72076 Tübingen

Office: 5 P 37
Telephone: +49-7071-29-76765
E-mail: heller@mathematik.uni-tuebingen.de


Office Hours

open door policy

Teaching

Summer term 2013:
on parental leave

Winter term 2012/13:
Liegruppen und Liealgebren
Projektive Geometrie

Research

My research interests lie in the field of global surface geometry. Currently I am developing a spectral curve theory for compact CMC surfaces of genus greater or equal two.

I am a member of the SFB/Transregio 71.

I wrote my PhD thesis Conformal Submersions of S^3 under supervison of Prof. Dr. U. Pinkall . I was a PhD student at the International Graduate College Arithmetic and Geometry at Humboldt-Universität Berlin and Phase 2 student at the Berlin Mathematical School BMS.


I completed my Diploma Thesis On the Classification of Willmore Spheres under supervison of Prof. Dr. U. Pinkall.

Publications and Preprints

Deformations of symmetric CMC surfaces in the 3-sphere
with Nick Schmitt, Preprint: arxiv: 1305.4107

A spectral curve approach to Lawson symmetric CMC surfaces of genus 2
Preprint: arxiv: 1209.3200

Lawson's genus two minimal surface and meromorphic connections
to appear in Math. Z., DOI: 10.1007/s00209-012-1094-9
Preprint version

Higher genus minimal surfaces in S^3 and stable bundles
to appear in Crelle (J. Reine Angew. Math.), DOI: 10.1515/crelle-2012-0011
Preprint version

Conformal fibrations of S3 by circles.
Harmonic maps and differential geometry, 195-202, Contemp. Math., 542, Amer. Math. Soc., Providence, RI, 2011.
Preprint version

Harmonic morphisms on conformally flat 3-spheres
Bull. Lond. Math. Soc. 43 (2011), no. 1, 137-150.
Preprint version

Global aspects of integrable surface geometry
with A. Gerding, S. Heller, F. Pedit, N. Schmitt; in Proceedings for Integrable Systems and Quantum Field Theory at Peyresq, Fifth Meeting

Conformally flat circle bundles over surfaces
submitted, Preprint: arxiv:0902.4555

Articles in Preparation

Spectral curves for higher genus CMC surfaces