Daniel Luckhardt

Research

• Regularization of Riemannian metrics (preprint), towards application to moduli spaces of Riemannian metrics, joint with Jan-Bernhard Kordaß
• Metrization of the space of metric measure spaces and related spaces, joint with Matt Insall;
• Convergence of Riemannian manifolds (Gromov-Hausdorff convergence and Benjamini-Schramm convergence).

Publications

• L., A volume comparison theorem for characteristic numbers, preprint
• Kordaß, L., Curvature bounds for regularized riemannian metrics, preprint;
• PhD thesis 2018, Benjamini-Schramm convergence of Normalized Characteristic Numbers of Riemannian manifolds;
• Master Thesis, 2014, unpublished, Random Metric Spaces and Testability;
• Bachelor thesis, 2011, unpublished, Random Homological Invariants.

CV

• 2018-20: Postdoc at Ben-Gurion University of the Negev;
• 2014–2018: PhD in Mathematics at Göttingen University;
• 2014: Master of Science, Göttingen University;
• 2011: Bachelor of Science, Göttingen University.

Upcoming conference visits

Teaching

Notable teaching activities:

• 2017/18: lecture assistant linear algebra I and II
• 2017: compact course on proof assistant Isabelle;
• many TAed courses over the past years, including:
  • WiSe 2016/17: lecture Algebra,
  • SoSe 2015: lecture Mathematik für Physiker II,
  • SoSe 2014: lecture Mehrdimensionale Analysis für Physiker;
• 2014: seminar on set theory, organized in cooperation with Simon Naarman;
• 2012/13: CdE WinterAkademie, two courses on category theory: basics for math students, introduction for laypersons; in cooperation with Max Daniel and Jonas Lorenz;
• 2012: seminar on category theory, organized in cooperation with Nils Hansen and Daniel Tubbenhauer;

Contact