## Contact Information

Institut für Mathematik

Goethe-Universität Frankfurt

Robert-Mayer-Str. 10

60325 Frankfurt am Main

Germany

Office: 807

Phone: +4969-798-22596

Email:

Institut für Mathematik

Goethe-Universität Frankfurt

Robert-Mayer-Str. 10

60325 Frankfurt am Main

Germany

Office: 807

Phone: +4969-798-22596

Email:

Das Proseminar findet in Blockform vom **8-9. April 2020** statt. Präsenz bei **allen** Vorträgen ist obligatorisch.

Voraussetzung für die Teilnahme ist die Vorlesung Analysis I. Nach Auswahl eines Vortragsthemas erfolgt die Anmeldung zum Seminar per .

Besprechungstermine nach Vereinbarung

Der Vortrag inklusive Fragen soll 50-60 Minuten dauern. Für die Zuhörer/innen soll eine Zusammenfassung in Form eines Handouts von 2-4 Seiten abgegeben werden, idealerweise verfasst in Latex. Das Handout muss per E-Mail bis zum **31. März 2020** abgegeben werden.

**Themenliste**

~~Irrationale Zahlen~~

~~Das Basler Problem und die Zeta-Funktion~~

~~Die Gammafunktion~~

~~Der Fundamentalsatz der Algebra~~

Die Legendreschen Polynome

Mittelwerte von reellen positiven Zahlen

~~Konvexität und die Jensensche Ungleichung~~

~~Grundlagen der Topologie~~

~~Die Quotiententopologie~~

~~Die Cantormenge und fraktale Dimensionen~~

~~Der Banachsche Fixpunktsatz~~

~~Das Newton-Verfahren~~

Literaturliste

**Latex Vorlage**
TEX Datei
PDF Datei

I co-organise the conference Geometric structures, compactifications and group actions, to be held at the Institut für Mathematik in Frankfurt, 20-24 July 2020.

Projective differential geometry, complex geometry, PDE, dynamical systems.

• Metrisability of projective surfaces and pseudo-holomorphic curves

• Vortices over Riemann surfaces and dominated splittings (with G. Paternain)

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

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

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

Anal. PDE (to appear)

Anal. PDE (to appear)

17. Extremal conformal structures on projective surfaces

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

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

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

Comm. Anal. Geom. 27 (2019)

Comm. Anal. Geom. 27 (2019)

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)