## Contact Information

Institut für Mathematik

Goethe-Universität Frankfurt

Robert-Mayer-Str. 10

60325 Frankfurt am Main

Germany

Office: 807

Phone: +4969-798-22596

Email:

Goethe-Universität Frankfurt

Robert-Mayer-Str. 10

60325 Frankfurt am Main

Germany

Office: 807

Phone: +4969-798-22596

Email:

Wintersemester 19/20: Analysis I

Di 10-12 (H V - Bockenheim), Mi 10-12 (H VI - Bockenheim)

**Für die Vorlesung Analysis I wird noch 1 Tutor/in gesucht. Bei Interesse bitte per E-Mail melden.**

Differential & complex geometry, PDE. In particular, projective differential geometry, twistor methods, minimal surfaces.

• Geometric theory of Weyl structures (with A. Cap)

• Deformations of the Veronese embedding and Finsler 2-spheres of constant curvature (with C. Lange)

• Convex projective surfaces with compatible Weyl connection are hyperbolic (with G. Paternain)

Anal. PDE (to appear)

Anal. PDE (to appear)

• \(\mathrm{GL}(2)\)-structures in dimension four, \(H\)-flatness and integrability (with W. Krynski)

Comm. Anal. Geom. (to appear)

Comm. Anal. Geom. (to appear)

• Extremal conformal structures on projective surfaces

Ann. Sc. Norm. Super. Pisa Cl. Sci. (to appear)

Ann. Sc. Norm. Super. Pisa Cl. Sci. (to appear)

15. Minimal Lagrangian connections on compact surfaces

Adv. Math. 354 (2019)

Adv. Math. 354 (2019)

14. Holomorphic differentials, thermostats and Anosov flows (with G. Paternain)

Math. Ann. 373 (2019)

Math. Ann. 373 (2019)

13. Gauge theory on projective surfaces and anti-self-dual Einstein metrics in dimension four (with M. Dunajski)

J. Geom. Anal. 28 (2018)

J. Geom. Anal. 28 (2018)

12. Characterizing classical minimal surfaces via the entropy differential (with J. Bernstein)

J. Geom. Anal. 27 (2017)

J. Geom. Anal. 27 (2017)

11. Convex integration and Legendrian approximation of curves (with N. Hungerbühler, M. Wasem)

J. Convex Anal. 24 (2017)

J. Convex Anal. 24 (2017)

10. Geodesic rigidity of conformal connections on surfaces

Math. Z. 281 (2015)

Math. Z. 281 (2015)

9. Two-dimensional gradient Ricci solitons revisited (with J. Bernstein)

Int. Math. Res. Not. 2015 (2015)

Int. Math. Res. Not. 2015 (2015)

8. One-dimensional projective structures, convex curves and the ovals of Benguria & Loss (with J. Bernstein)

Comm. Math. Phys. 336 (2015)

Comm. Math. Phys. 336 (2015)

7. Four-dimensional Kähler metrics admitting c-projective vector fields (with A. Bolsinov, V. Matveev, S. Rosemann)

J. Math. Pures Appl. 103 (2015)

J. Math. Pures Appl. 103 (2015)

6. On Kähler metrisability of two-dimensional complex projective structures

Monatsh. Math. 174 (2014)

Monatsh. Math. 174 (2014)

5. Weyl metrisability of two-dimensional projective structures

Math. Proc. Camb. Philos. Soc. 156 (2014)

Math. Proc. Camb. Philos. Soc. 156 (2014)

4. Reduction of \(\beta\)-integrable \(2\)-Segre structures

Comm. Anal. Geom. 21 (2013)

Comm. Anal. Geom. 21 (2013)

3. Local embeddability of real analytic path geometries

Differential Geom. Appl. 30 (2012)

Differential Geom. Appl. 30 (2012)

2. Soliton solutions of the mean curvature flow and minimal hypersurfaces (with N. Hungerbühler)

Proc. Amer. Math. Soc. 140 (2012)

Proc. Amer. Math. Soc. 140 (2012)

1. Charges of twisted branes: the exceptional cases (with S. Fredenhagen, M. Gaberdiel)

J. High Energy Phys. 58 (2005)

J. High Energy Phys. 58 (2005)