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Publications

Peer-Reviewed Journals #

  1. Bobenko, Alexander I., Lutz, Carl O.R.: Decorated Discrete Conformal Equivalence in Non-Euclidean Geometries, Discrete Comput. Geom., 2025, DOI: 10.1007/s00454-025-00749-y, ArXiv: 2310.17529
  2. Bobenko, Alexander I., Lutz, Carl O.R.: Decorated Discrete Conformal Maps and convex Polyhedral Cusps, Int. Math. Res. Not., 2024, 2024(12), 9505–9534, DOI: 10.1093/imrn/rnae016, ArXiv: 2305.10988
  3. Lutz, Carl O.R.: Canonical Tessellations of Decorated Hyperbolic Surfaces. Geom. Dedicata, 2023, 217(14), 1–37, DOI: 10.1007/s10711-022-00746-y, ArXiv: 2206.13461

Books #

  1. Bobenko, Alexander I., Lutz, Carl O.R., Pottmann, Helmut, Techter, Jan: Non-Euclidean Laguerre Geometry and Incircular Nets. SpringerBriefs. Springer, Cham, 2021, x+137 p., ISBN: 978-3-030-81846-3, DOI: 10.1007/978-3-030-81847-0, ArXiv: 2009.00978

Lecture Notes #

  1. Mathematics for Physicists IV (in German), Summer Semester 2025, last update: 2025/07/15, pdf

  2. Mathematics for Physicists III (in German), Winter Semester 2024/25, last update: 2025/04/11, pdf

Thesis #

Lutz, Carl O.R.: Decorated Discrete Conformal Equivalence, Canonical Tessellations, and Polyhedral Realization. PhD Thesis, TU Berlin, 2024. DOI: 10.14279/depositonce-20357.