I am PI of the Lise-Meitner project M3184 of the Austrian Science Fund (FWF) at the University of Vienna with Michael Eichmair as co-PI.
I obtained my PhD at the University of Freiburg in 2020 under the supervision of Guofang Wang.
During my PhD, I spent time at University College London as a visiting research student.

Contact:

Faculty of Mathematics
Oskar-Morgenstern-Platz 1
1090 Vienna

Email: thomas.koerber@univie.ac.at

ORCiD: 0000-0003-1676-0824

Together with Michael Eichmair, I have recently organized the Young PDEs Mini Symposium.

Research

Preprints

• Doubling of asymptotically flat half-spaces and the Riemannian Penrose inequality (with Michael Eichmair)
  submitted in August 2022.
• Huisken-Yau-type uniqueness for area-constrained Willmore spheres (with Michael Eichmair, Jan Metzger, and Felix Schulze)
  submitted in February 2022. [arXiv:2204.04102]
• Foliations of asymptotically flat 3-manifolds by stable constant mean curvature spheres (with Michael Eichmair)
  submitted in August 2021. [arXiv:2201.12081]
• Large area-constrained Willmore surfaces in asymptotically Schwarzschild 3-manifolds (with Michael Eichmair)
  to appear in Journal of Differential Geometry. [arXiv:2101.12665]
• The Riemannian Penrose inequality for asymptotically flat manifolds with non-compact boundary
  to appear in Journal of Differential Geometry. [arXiv:1909.13283]

Publications

• The Willmore center of mass of initial data sets (with Michael Eichmair)
  Communications in Mathematical Physics, 392.2 (2022), pp. 483-516. [journal] [arXiv:2201.12077]
• A free boundary isometric embedding problem in the unit ball
  Calculus of Variations and Partial Differential Equations, 61.2 (2022): 50, 36 pp. [journal] [arXiv:1908.11188]
• The area preserving Willmore flow and local maximizers of the Hawking mass in asymptotically Schwarzschild manifolds
  The Journal of Geometric Analysis, 31.4 (2021), pp. 3455–3497. [journal] [arXiv:1810.12866]
• Sharp estimates for the principal eigenvalue of the p-operator
  Calculus of Variations and Partial Differential Equations, 57.2 (2018): 49, 30 pp. [journal] [arXiv:1907.10957]

Talks

• Uniqueness of large area-constrained Willmore spheres in initial data sets
  July 2022, Joint Online Mathematical Relativity Colloquium (JoMaReC)
• Foliations of asymptotically flat 3-manifolds by stable constant mean curvature spheres
  May 2022, CMC seminar, University of Potsdam and University of Tübingen
• Foliations of asymptotically flat 3-manifolds by stable constant mean curvature spheres
  March 2022, Geometric Analysis and Partial Differential Equations Mini-Symposium, SIAM Conference on Analysis of Partial Differential Equations
• The Willmore center of mass
  March 2022, Gravitational Physics Lunch Seminar, University of Vienna
• Foliations of asymptotically flat 3-manifolds by stable constant mean curvature spheres
  December 2021, Online Seminar Geometric Analysis
• Large area-constrained Willmore spheres in asymptotically Schwarzschild 3-manifolds
  November 2021, Geometric Analysis, Differential Geometry and Relativity, University of Potsdam and University of Tübingen
• Foliations of asymptotically flat 3-manifolds by stable constant mean curvature spheres
  November 2021, B.O.W.L. on-line seminar
• Foliations of asymptotically flat 3-manifolds by stable constant mean curvature spheres
  September 2021, Section Calculus of Variations and Geometric Analysis, DMV-ÖMG Annual Conference 2021
• Large area-constrained Willmore spheres in asymptotically Schwarzschild 3-manifolds
  September 2021, Research Seminar: Geometric Analysis, University of Copenhagen
• Large area-constrained Willmore spheres in initial data sets
  June 2021, Geometric Analysis and Low-Dimensional Topology Mini-Symposium, 8th European Congress of Mathematics
• Large area-constrained Willmore surfaces in asymptotically Schwarzschild 3-manifolds
  April 2021, Oberseminar Geometrische Analysis und Mathematische Relativitätstheorie, University of Tübingen
• Large area-constrained Willmore surfaces in asymptotically Schwarzschild 3-manifolds
  February 2021, Geometry Seminar, Stanford University
• Large area-constrained Willmore surfaces in asymptotically Schwarzschild 3-manifolds
  February 2021, Geometry & Analysis Seminar, Columbia University
• The Riemannian Penrose inequality for asymptotically flat manifolds with a non-compact boundary
  January 2020, Geometry Seminar, University of Turin
• The Riemannian Penrose inequality for asymptotically flat manifolds with a non-compact boundary
  January 2020, Geometry Seminar, Paris Diderot University
• The Riemannian Penrose inequality for asymptotically flat manifolds with a non-compact boundary
  November 2019, Geometry Seminar, University of Vienna
• Maximizers of the Hawking mass in asymptotically flat manifolds
  November 2018, Topics in Geometric Analysis Seminar, Free University of Berlin

Teaching

Currently, I am not involved in any teaching activities.

Past teaching

• Linear algebra and geometry 1
  Summer 2021, teaching assistant
• Calculus of variations
  Summer 2019, head teaching assistant
• Calculus of variations
  Winter 2018/2019, head teaching assistant
• Introduction to convex analysis
  Summer 2018, head teaching assistant
• Analysis 3,
  Winter 2017/2018, head teaching assistant
• Calculus of variations in dimension 1
  Winter 2017/2018, head teaching assistant
• Differential geometry
  Summer 2017, head teaching assistant