• Wintersemester 2025:
  • Vorlesung Analysis I
  • Hauptseminar: Singuläre Störungen, Spektraltheorie und Blow-ups
• Frühere Lehrveranstaltungen
• Skripte etc.
• Die andere Literaturliste
• Bücher:
  •    

Currently my main research interests are in partial differential equations, geometry and analysis of singular spaces and global analysis. Further mathematical interests include mathematical physics, differential geometry and combinatorics.

Veröffentlichungen/Publications and Preprints

Vorträge, Notizen/Talks, Notes etc.

Neuere Arbeiten/Recent papers:

• Winding and focussing for geodesics passing a thin cuspidal neck (with Jørgen Lye), Preprint 2025, https://arxiv.org/abs/2510.20355
• Analysis on fibred cusp spaces (with Álvaro Sánchez Hernández and Boris Vertman), Preprint 2025, https://arxiv.org/abs/2507.15467
• Phase transitions and minimal interfaces on manifolds with conical singularities (with S. Held, H. Uecker and B. Vertman), Nonlinearity, vol 38 no 2 (2025), https://doi.org/10.1088/1361-6544/ada47c, arXiv.
• Geodesics orbiting a singularity (with J. Lye), Journal of Geometry, vol 115 no 1 (2024), https://doi.org/10.1007/s00022-023-00701-6,  arXiv.
• The Calderón Projector for Fibred Cusp Operators (with K. Fritzsch and E. Schrohe), Journal of Functional Analysis, vol 285 no 10 (2023), https://doi.org/10.1016/j.jfa.2023.110127,  arXiv.

Schönheit und Eleganz in der Mathematik
(Interview am 29.6.2011, ca. 55 Min.)

• Wikipedia Mathematics (deutsch)
• Wolfram MathWorld, Wolfram Alpha
• History of mathematics
• Encyclopedia of integer sequences (deutsch)
• Preprint archive
• zbMATH, MathSciNet
• Für Freunde großer Primzahlen
• Mathematische Gesellschaften: DMV, EMS, AMS, IMU
• Animated Math Videos: 3blue1brown
• Erdös problems, Erdös Number Project
• Plan international