Publications

 

Accepted and published

  1. With Sebastian Heller and Martin Traizet:  
    Area estimates for high genus Lawson surfaces via DPW, accepted for publication in J. Differ. Geom.,  33 pages, arXiv:1907.07139, 2019.
  2. With Sebastian Heller and Cheikh Birahim Ndiaye:
    Stability properties of 2-lobed Delaunay tori in the 3-sphere,  accepted for publication in Diff. Geom. Appl., 14 pages. Preprint: arXiv:1903.11830
  3. With Cheikh Birahim Ndiaye:
    First explicit constrained Willmore minimizers of non-rectangular conformal class, accepted for publication in Adv. Math.,  43 pages. Preprint:  arXiv:1710.005332
  4. With Sebastian Heller and Cheikh Birahim Ndiaye:
    Isothermic constrained Willmore tori in the 3-space, accepted for publication in Ann. Glob. Anal. Geom., 19 pages. Preprint:  arXiv:1903.11823 
  5. With Cheikh Birahim Ndiaye:
    Candidates for non-rectangular constrained Willmore minimizers,  J. Geom. Phys, 104221, 35 pages. Preprint: arXiv:1902.09572 
  6. With Sebastian Heller:
    Higher solutions of Hitchin's self-duality equations, J. Int. Syst. 5 (1), xyaa006, 2020 42 pages. Preprint: arXiv:1801.02402 
  7. With Sebastian Heller and Nicholas Schmitt:
    Navigating the Space of Symmetric CMC Surfaces, J. Differ. Geom., 110 (3), 413-455 (2018). Preprint:arXiv:1501.01929 
  8. With Franz Pedit:
    Towards a constrained Willmore conjecture. Willmore Energy and Willmore Conjecture. Chapman & Hall/CRC Monographs and Research Notes in Mathematics. Preprint: arXiv:1705.03217 
  9. Dirac Tori. Differ. Geom. Appl., vol. 54, Part A, pp. 122-128, 2017.  Preprint: arXiv:1401.7449
  10. With Sebastian Heller and Nicholas Schmitt:
     The spectral curve theory for (k,l)-symmetric CMC surfaces. J. Geom. Phys., vol 98, pp 201-213, 2015. Preprint: arXiv:1503.00969
  11. With Sebastian Heller:
    Abelianization of Fuchsian systems on a 4-punctured sphere and applications. J. Symplect. Geom., vol. 14, no. 4, pp. 1059-1088, 2016. Preprint: arXiv:1404.7707 
  12. Constrained Willmore and CMC tori in the 3-sphere. Differ. Geom. Appl., vol. 40, pp 232-242, 2015. Preprint: arXiv:1212.2068
  13. Equivariant Constrained Willmore Tori in the 3-Sphere. Math. Z., vol. 278, no. 3, pp 955-977, 2014. Preprint: arXiv:1211.4137
  14. Constrained Willmore Tori and Elastic Curves in 2-Dimensional Space Forms. Comm. Anal. Geom., vol. 22, no. 2, pp 343-369, 2014. Preprint: arXiv:1303.1445 
  15. Constrained Willmore Hopf tori. Oberwolfach Reports, vol. 10, no. 2., 2013.
  16. Equivariant Constrained Willmore Tori in S^3.  PhD Thesis, Eberhard Karls University Tübingen, 2012.

 

 

Preprints

  1. With Sebastian Heller and Martin Traizet: 
    Complete families of embedded high genus CMC surfaces in the 3-sphere. 42 pages, arxiv.org/abs/2108.10214
  2. With Indranil Biswas, Sorin Dumitrescu, Sebastian Heller:  
    Holomorphic-systems with Fuchsian monodromy (with an appendix by Takuro Mochizuki). 38 pages,  arXiv:2104.04818
  3. With Sebastian Heller and Nicholas Schmitt:
    Exploring the Space of Compact Symmetric CMC Surfaces. Preprint: arXiv:1503.07838, 2015.