Institut für Mathematik
Goethe-Universität Frankfurt
Robert-Mayer-Str. 10
60325 Frankfurt am Main

Office: 807
Phone: +4969-798-22596

Simons Semester

In the fall I will participate in the Simons Semester on Symmetry and Geometric Structures at the Institute of Mathematics of the Polish Academy of Sciences in Warsaw.

Research Interests

Differential geometry, complex geometry, partial differential equations. In particular, projective differential geometry, twistor methods, minimal surfaces.

Preprints & Publications

  1. Holomorphic differentials, thermostats and Anosov flows (with G. Paternain), arXiv:1706.03554
  2. GL(2)-structures in dimension four, H-flatness and integrability (with W. Krynski), arXiv:1611.08228
  3. Minimal Lagrangian connections on compact surfaces, arXiv:1609.08033
  4. Extremal conformal structures on projective surfaces, arXiv:1510.01043
  5. Gauge theory on projective surfaces and anti-self-dual Einstein metrics in dimension four (with M. Dunajski), arXiv:1509.04276
  6. Characterizing classical minimal surfaces via the entropy differential (with J. Bernstein), J. Geom. Anal. 27 (2017), SharedIt
  7. Convex integration and Legendrian approximation of curves (with N. Hungerbühler, M. Wasem), J. Convex Anal. 24 (2017)
  8. Geodesic rigidity of conformal connections on surfaces, Math. Z. 281 (2015), SharedIt
  9. One-dimensional projective structures, convex curves and the ovals of Benguria & Loss (with J. Bernstein), Comm. Math. Phys. 336 (2015), SharedIt
  10. Four-dimensional Kähler metrics admitting c-projective vector fields (with A. Bolsinov, V. Matveev, S. Rosemann), J. Math. Pures Appl. 103 (2015)
  11. Two-dimensional gradient Ricci solitons revisited (with J. Bernstein), Int. Math. Res. Not. 2015 (2015)
  12. On Kähler metrisability of two-dimensional complex projective structures, Monatsh. Math. 174 (2014), SharedIt
  13. Weyl metrisability of two-dimensional projective structures, Math. Proc. Cambridge Philos. Soc. 156 (2014)
  14. Reduction of beta-integrable 2-Segre structures, Comm. Anal. Geom. 21 (2013)
  15. Soliton solutions of the mean curvature flow and minimal hypersurfaces (with N. Hungerbühler), Proc. Amer. Math. Soc. 140 (2012)
  16. Local embeddability of real analytic path geometries, Differential Geom. Appl. 30 (2012)
  17. Charges of twisted branes: the exceptional cases (with S. Fredenhagen, M. Gaberdiel), J. High Energy Phys. 58 (2005)