Geometry
Fakultät Mathematik und Informatik
Dekan ad interim
Thomas Mettler schloss 2005 sein Physikstudium an der ETH Zürich ab und promovierte 2010 am Departement für Mathematik der Université de Fribourg. Anschliessend verbrachte er zwei Jahre in den USA, ein Jahr als SNF Prospective Researcher am Department of Mathematics der University of California Berkeley und ein Jahr als Postdoktorand des Mathematical Sciences Research Institute Berkeley. Im Jahr 2013 war er im Rahmen eines SNF Advanced Researcher Fellowship in England, aufgeteilt zwischen der University of Cambridge und der University of Oxford. Anschliessend war er als Postdoktorand an der Université de Fribourg und an der ETH Zürich tätig, bevor er 2015 an die Goethe-Universität Frankfurt wechselte, wo er zum Assistenzprofessor ernannt wurde. Seit 2021 arbeitet er an der UniDistance Suisse.
Publikationen
The titles below link to the published journal versions of the articles, for freely available preprint versions, please follow the arXiv links.
Preprints
- Twistor geometric aspects of projective surfaces
Published / accepted for publication
- Flat extensions of principal connections and the Chern--Simons 3-form (with A. Cap, K. Flood),
Ann. Henri Lebesgue (to appear) [arXiv] - The Schwarzian derivative and the degree of a classical minimal surface (with L. Poerschke),
Exp. Math. 34 (2025) [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. HungerbĂĽhler, 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. HungerbĂĽhler),
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]
Coauthors
- 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 ZĂĽrich - Norbert HungerbĂĽhler
ETH ZĂĽrich - Wojciech Krynski
IMPAN Warsaw - Christian Lange
LMU MĂĽnchen - Vladimir Matveev
FSU Jena - Gabriel Paternain
University of Washington - Lukas Poerschke
- Stefan Rosemann
- Micha Wasem
HEIA Fribourg
Supervision at UniDistance Suisse
Postdocs
- Keegan Flood, 1/2023 - 9/2025
- Micha Wasem, 7/2021 - 1/2025
PhD Students
- Lukas Poerschke (2024), PhD awarded from Goethe University Frankfurt
- Luca Giudici, 9/2025 -
- Tim Maruhn, 9/2025 -
Forschungsschwerpunkte
Thomas Mettlers Hauptforschungsinteresse gilt der projektiven Differentialgeometrie und ihren Wechselwirkungen mit komplexer Geometrie, partiellen Differentialgleichungen und dynamischen Systemen.
Research projects
Research projects
Genehmigter Betrag: -
Finanzierungsprogramm:
-
Status:
Abgeschlossen
Start:
01.01.2020
Ende:
31.12.2022
Genehmigter Betrag:-
Finanzierungsprogramm:
-
Status:
Abgeschlossen
Start:
01.01.2020
Ende:
31.12.2022
Mathematik…
Forschungsgruppen
Lehre
Funktionen an der FernUni Schweiz
Fakultät Mathematik und Informatik
- Dekan ad interim
- Ausserordentlicher Professor
- Studiengangsleiter Bachelor Mathematik
Geometry
- Ausserordentlicher Professor
Fakultätskollegium Mathematik und Informatik
- Dekan ad interim
- Ausserordentlicher Professor
- Studiengangsleiter Bachelor Mathematik
Akademischer Rat
- Ausserordentlicher Professor
- Dekan ad interim Fakultät für Mathematik und Informatik