### Geometry

Faculty of Mathematics and Computer Science

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Associate Professor

Thomas Mettler obtained a degree in physics from ETH Zurich in 2005 and completed his doctorate in the Department of Mathematics at the Université de Fribourg in 2010. He then spent two years in the USA, one year as a SNF Prospective Researcher at the Department of Mathematics of the University of California Berkeley and one year as a postdoctoral fellow of the Mathematical Sciences Research Institute Berkeley. In 2013 he visited England on an SNF Advanced Researcher Fellowship, split between the University of Cambridge and the University of Oxford. Subsequently, he was a postdoctoral researcher at the Université de Fribourg and at ETH Zurich, before moving to Goethe-University in Frankfurt where he was appointed an assistant professor position in 2015. He joined the faculty of UniDistance Suisse in 2021.

- Associate Professor
- Programme director Bachelor in Mathematics

- Associate Professor

- Associate Professor
- Programme director Bachelor in Mathematics

The titles below link to the published journal versions of the articles, with green links indicating open access. For freely available preprint versions, please follow the arXiv links.

- Flat extensions of principal connections and the Chern--Simons 3-form (with A. Cap, K. Flood) [arXiv]

- The Schwarzian derivative and the degree of a classical minimal surface (with L. Poerschke),
*Exp. Math.***(to appear)**[arXiv] - Induced almost para-Kähler Einstein metrics on cotangent bundles (with A. Cap),
*Q. J. Math.***75**(2024) [arXiv] - Geometric theory of Weyl structures (with A. Cap),
*Commun. Contemp. Math.***25**(2023) [arXiv] - Deformations of the Veronese embedding and Finsler 2-spheres of constant curvature (with C. Lange),
*J. Inst. Math. Jussieu***21**(2022) [arXiv] - Vortices over Riemann surfaces and dominatted splittings (with G. Paternain),
*Ergodic Theory Dynam. Systems***42**(2022) [arXiv] - Metrisability of projective surfaces and pseudo-holomorphic curves,
*Math. Z.***298**(2021) [arXiv] - Extremal conformal structures on projective surfaces,
*Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)***XX**(2020) [arXiv] - Convex projective surfaces with compatible Weyl connection are hyperbolic (with G. Paternain),
*Anal. PDE***13**(2020) [arXiv] - GL(2)-Structures in dimension four, H-Flatness and Integrability (with W. Krynski),
*Comm. Anal. Geom.***27**(2019) [arXiv] - Minimal Lagrangian connections on compact surfaces,
*Adv. Math.***354**(2019) [arXiv] - Holomorphic differentials, thermostats and Anosov flows (with G. Paternain),
*Math. Ann.***373**(2019) [arXiv] - Gauge theory on projective surfaces and anti-self-dual Einstein metrics in dimension four (with M. Dunajski),
*J. Geom. Anal.***28**(2018) [arXiv] - Characterizing classical minimal surfaces via the entropy differential (with J. Bernstein),
*J. Geom. Anal.***27**(2017) [arXiv] - Convex integration and Legendrian approximation of curves (with N. Hungerbühler, M. Wasem),
*J. Convex Anal.***24**(2017) [arXiv] - Geodesic rigidity of conformal connections on surfaces,
*Math. Z.***281**(2015) [arXiv] - Two-dimensional gradient Ricci solitons revisited (with J. Bernstein),
*Int. Math. Res. Not.***2015**(2015) [arXiv] - One-dimensional projective structures, convex curves and the ovals of Benguria and Loss (with J. Bernstein),
*Comm. Math. Phys.***336**(2015) [arXiv] - Four-dimensional Kähler metrics admitting c-projective vector fields (with A. Bolsinov, V. Matveev, S. Rosemann),
*J. Math. Pures Appl. (9)***103**(2015) [arXiv] - On Kähler metrisability of two-dimensional complex projective structures,
*Monatsh. Math.***174**(2014) [arXiv] - Weyl metrisability of two-dimensional projective structures,
*Math. Proc. Cambridge Philos. Soc.***156**(2014) [arXiv] - Reduction of β-integrable 2-Segre structures,
*Comm. Anal. Geom.***21**(2013) [arXiv] - Local embeddability of real analytic path geometries,
*Differential Geom. Appl.***30**(2012) [arXiv] - Soliton solutions of the mean curvature flow and minimal hypersurfaces (with N. Hungerbühler),
*Proc. Amer. Math. Soc.***140**(2012) [arXiv] - Charges of twisted branes: the exceptional cases (with S. Fredenhagen, M. Gaberdiel),
*J. High Energy Phys.***2005**(2005) [arXiv]

- Jacob Bernstein

Johns Hopkins University - Alexey Bolsinov

Loughborough University - Andreas Cap

Universität Wien - Maciej Dunajski

University of Cambridge - Stefan Fredenhagen

Universität Wien - Keegan Flood

UniDistance Suisse - Matthias Gaberdiel

ETH Zürich - Norbert Hungerbühler

ETH Zürich - Wojciech Krynski

IMPAN Warsaw - Christian Lange

LMU München - Vladimir Matveev

FSU Jena - Gabriel Paternain

University of Washington - Lukas Poerschke
- Stefan Rosemann
- Micha Wasem

HEIA Fribourg

Thomas Mettler's primary research interest is projective differential geometry and its interactions with complex geometry, partial differential equations and dynamical systems.

Faculty of Mathematics and Computer Science