David Lenze
My research interests lie broadly in geometry: metric and differential geometry, particularly in the presence of non-positive curvature; infinite-dimensional geometries; and optimal transport and Wasserstein geometry.
PhD student in mathematics at the Karlsruhe Institute of Technology, supervised by Alexander Lytchak.
About
I am a PhD student in mathematics at the Karlsruhe Institute of Technology, supervised by Alexander Lytchak.
I hold a Master of Science in Mathematics from ETH Zürich, where my master's thesis focused on the L²-completion of the space of Riemannian metrics under the supervision of Urs Lang. Before ETH, I completed my undergraduate studies at Christian-Albrechts-Universität zu Kiel, with a bachelor's thesis supervised by Jens Heber, and spent a year abroad at Girton College, University of Cambridge.
Publications and preprints
-
2026
-
2025
-
2025Geom. Dedicata 219, 79 (2025), arXiv:2504.06456
-
2025Trans. Amer. Math. Soc. 378 (2025), 8161–8182, arXiv:2412.13914
Talks
Outside Karlsruhe
-
Nov 2026Geometry Graduate Colloquium, ETH Zürich
-
Oct 2026Wasserstein Jam, online workshop
-
Oct 2026Informal Geometric Analysis Seminar, University of Maryland (online)
-
Sep 2026Séminaire de Groupes et Géométrie, University of Geneva
-
Jun 2026Seminar Geometric and Harmonic Analysis, Paderborn University
-
Mar 2026Junior Geometry Seminar, Imperial College London
-
Jan 2026
-
Oct 2025DIANA Seminar, University of Vienna
-
May 2025Junior Geometry Seminar, University of Cambridge
-
Feb 2025Geometry Seminar, University of Kiel
In Karlsruhe
-
Jul 2026The geometry of Wasserstein spaces over Riemannian manifolds (3/3)Geometry Research Seminar
-
Jun 2026The geometry of Wasserstein spaces over Riemannian manifolds (2/3)Geometry Research Seminar
-
Jun 2026The geometry of Wasserstein spaces over Riemannian manifolds (1/3)Geometry Research Seminar
-
Dec 2025Geometry Research Seminar
-
May 2025Rank rigidity via affine mapsGeometry Research Seminar
-
Oct 2024Geometry Research Seminar
-
Feb 2024The space of Riemannian metricsDifferential Geometry Seminar
-
Jan 2024The L²-completion of the space of Riemannian metricsGroups, Geometry and Dynamics Seminar
Seminars
-
Initiated jointly with João Lobo Fernandes.
-
The research seminar of my group at KIT.
Teaching
-
Winter 2025/26,
Summer 2026Linear AlgebraJoint course coordinator, with Prof. Alexander Lytchak, Karlsruhe Institute of Technology -
Summer 2025Course coordinator, with Prof. Alexander Lytchak, Karlsruhe Institute of Technology
-
Summer 2024Course coordinator, with Prof. Alexander Lytchak, Karlsruhe Institute of Technology
-
Winter 2024Seminar on Morse theoryAssistant, with Prof. Wilderich Tuschmann, Karlsruhe Institute of Technology
During my master's studies in Zürich and my undergraduate studies in Kiel, I was a student teaching assistant for numerous courses, including Analysis and Differential Geometry.
Contact
david.lenze (at) kit.edu
Further contact details can be found on my KIT profile.
We are not trying to meet some abstract production quota of definitions, theorems and proofs. The measure of our success is whether what we do enables people to understand and think more clearly and effectively about mathematics.