Prof. Dr. Thomas Mettler

Dekan Ausserordentlicher Professor

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. Danach 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.

Research focus

Thomas Mettlers Hauptforschungsinteresse gilt der projektiven Differentialgeometrie und ihren Wechselwirkungen mit komplexer Geometrie, partiellen Differentialgleichungen und dynamischen Systemen.

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 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

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 -

Research projects

Concrete Mathematics with Generative AI

Genehmigter Betrag: -

Finanzierungsprogramm: UniDistance Suisse | FernUni Schweiz

Chatain Julia // Mettler Thomas // NAGASHIMA Tomohiro // Musil Robert

Start: 01.07.2026

Mathematik

Concrete Mathematics with Generative AI

Chatain Julia // Mettler Thomas // NAGASHIMA Tomohiro // Musil Robert

Genehmigter Betrag:-

Finanzierungsprogramm: UniDistance Suisse | FernUni Schweiz

Start: 01.07.2026

Mathematik

Minimal Lagrangian connections and related structures

Genehmigter Betrag: -

Finanzierungsprogramm: -

Mettler Thomas // POERSCHKE Lukas

Status: Abgeschlossen

Start: 01.01.2020

Ende: 31.12.2025

Mathematik

Minimal Lagrangian connections and related structures

Mettler Thomas // POERSCHKE Lukas

Genehmigter Betrag:-

Finanzierungsprogramm: -

Status: Abgeschlossen

Start: 01.01.2020

Ende: 31.12.2025

Mathematik

Forschungsgruppen

Geometry

Fakultät Mathematik und Informatik

Prescribing geodesics and a variational problem for Riemannian metrics

2026-01

DOI: 10.48550/ARXIV.2605.10308

Thomas Mettler

preprint

Flat extensions of principal connections and the Chern–Simons 3-form

2025-12 | Annales Henri Lebesgue

DOI: 10.5802/ahl.255

Andreas Čap
Keegan J. Flood
Thomas Mettler

Journal article

Peer-reviewed

Induced almost para-Kähler Einstein metrics on cotangent bundles

2024-12 | The Quarterly Journal of Mathematics

DOI: 10.1093/qmath/haae047

Andreas Čap
Thomas Mettler

Journal article

Peer-reviewed

The Schwarzian Derivative and the Degree of a Classical Minimal Surface

2024-07 | Experimental Mathematics

DOI: 10.1080/10586458.2024.2379777

Thomas Mettler
Lukas Poerschke

Journal article

Peer-reviewed

Geometric theory of Weyl structures

2022-05 | Communications in Contemporary Mathematics

DOI: 10.1142/s0219199722500262

Andreas Čap
Thomas Mettler

Journal article

Peer-reviewed

Vortices over Riemann surfaces and dominated splittings

2022-05 | Ergodic Theory and Dynamical Systems

DOI: 10.1017/etds.2020.142

THOMAS METTLER
GABRIEL P. PATERNAIN

Journal article

Peer-reviewed

DEFORMATIONS OF THE VERONESE EMBEDDING AND FINSLER -SPHERES OF CONSTANT CURVATURE

2021-04 | Journal of the Institute of Mathematics of Jussieu

DOI: 10.1017/s1474748021000153

Christian Lange
Thomas Mettler

Journal article

Peer-reviewed

Extremal conformal structures on projective surfaces

2020-12 | ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE

DOI: 10.2422/2036-2145.201802_008

Thomas Mettler

Journal article

Peer-reviewed

Metrisability of projective surfaces and pseudo-holomorphic curves

2020-08 | Mathematische Zeitschrift

DOI: 10.1007/s00209-020-02586-6

Thomas Mettler

Journal article

Peer-reviewed

Convex projective surfaces with compatible Weyl connection are hyperbolic

2020-01 | Analysis and PDE

DOI: 10.2140/apde.2020.13.1073

Thomas Mettler

Journal article

Peer-reviewed

Minimal Lagrangian connections on compact surfaces

2019-10 | Advances in Mathematics

DOI: 10.1016/j.aim.2019.106747

Thomas Mettler

Journal article

Peer-reviewed

Holomorphic differentials, thermostats and Anosov flows

2019-02 | Mathematische Annalen

DOI: 10.1007/s00208-018-1712-x

Thomas Mettler
Gabriel P. Paternain

Journal article

Peer-reviewed

GL(2)-structures in dimension four, H-flatness and integrability

2019-01 | Communications in Analysis and Geometry

DOI: 10.4310/cag.2019.v27.n8.a7

Kryński, W.
Mettler, T.

Journal article

Peer-reviewed

Gauge Theory on Projective Surfaces and Anti-self-dual Einstein Metrics in Dimension Four

2018-07 | The Journal of Geometric Analysis

DOI: 10.1007/s12220-017-9934-9

Maciej Dunajski
Thomas Mettler

Journal article

Peer-reviewed

Characterizing Classical Minimal Surfaces Via the Entropy Differential

2017-07 | The Journal of Geometric Analysis

DOI: 10.1007/s12220-017-9759-6

Jacob Bernstein
Thomas Mettler

Journal article

Peer-reviewed

Convex integration and Legendrian approximation of curves

2017-01 | Journal of Convex Analysis

Hungerbühler, N.
Mettler, T.
Wasem, M.

Journal article

Peer-reviewed

Geodesic rigidity of conformal connections on surfaces

2015-05 | Mathematische Zeitschrift

DOI: 10.1007/s00209-015-1489-5

Thomas Mettler

Journal article

Peer-reviewed

Four-dimensional Kähler metrics admitting c-projective vector fields

2015-03 | Journal de Mathématiques Pures et Appliquées

DOI: 10.1016/j.matpur.2014.07.005

Alexey V. Bolsinov
Vladimir S. Matveev
Thomas Mettler
Stefan Rosemann

Journal article

Peer-reviewed

One-Dimensional Projective Structures, Convex Curves and the Ovals of Benguria and Loss

2015-01 | Communications in Mathematical Physics

DOI: 10.1007/s00220-014-2275-7

Jacob Bernstein
Thomas Mettler

Journal article

Peer-reviewed

On Kähler metrisability of two-dimensional complex projective structures

2014-05 | Monatshefte für Mathematik

DOI: 10.1007/s00605-014-0636-0

Thomas Mettler

Journal article

Peer-reviewed

Two-Dimensional Gradient Ricci Solitons Revisited

2013-09 | International Mathematics Research Notices

DOI: 10.1093/imrn/rnt177

Jacob Bernstein
Thomas Mettler

Journal article

Peer-reviewed

Weyl metrisability of two-dimensional projective structures

2013-09 | Mathematical Proceedings of the Cambridge Philosophical Society

DOI: 10.1017/s0305004113000522

THOMAS METTLER

Journal article

Peer-reviewed

Reduction of beta-integrable 2-Segre structures

2013-01 | Communications in Analysis and Geometry

DOI: 10.4310/cag.2013.v21.n2.a3

Thomas Mettler

Journal article

Peer-reviewed

Local embeddability of real analytic path geometries

2012-04 | Differential Geometry and its Applications

DOI: 10.1016/j.difgeo.2012.03.002

Thomas Mettler

Journal article

Peer-reviewed

Soliton solutions of the mean curvature flow and minimal hypersurfaces

2011-10 | Proceedings of the American Mathematical Society

DOI: 10.1090/s0002-9939-2011-11205-x

Norbert Hungerbühler
Thomas Mettler

Journal article

Peer-reviewed

Charges of twisted branes: the exceptional cases

2005-05 | Journal of High Energy Physics

DOI: 10.1088/1126-6708/2005/05/058

Stefan Fredenhagen
Matthias R Gaberdiel
Thomas Mettler

Journal article

Peer-reviewed

Lehre

M13	Differential Geometry Bachelor of Science in Mathematics Differential Geometry Bachelor of Science in Mathematics Differential Geometry Bachelor of Science in Mathematics
M04	Linear Algebra I Bachelor of Science in Mathematics Linear Algebra I Bachelor of Science in Mathematics Linear Algebra I Bachelor of Science in Mathematics
M06	Linear Algebra II Bachelor of Science in Mathematics Linear Algebra II Bachelor of Science in Mathematics Linear Algebra II Bachelor of Science in Mathematics
M18	Seminar on special topics Bachelor of Science in Mathematics Seminar on special topics Bachelor of Science in Mathematics Seminar on special topics Bachelor of Science in Mathematics