Carl O. R. Lutz

Doctoral Student of Mathematics at TU Berlin.


TU Berlin, Inst. Mathematik,
Str. des 17. Juni 136,
10623 Berlin, Germany

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Office: MA 883
E-mail: clutz [at]


I am a doctoral student at the department of mathematics of the Technische Universität Berlin (TU Berlin). My doctoral advisor is Alexander Bobenko.

My research concentrates on the connections between hyperbolic surfaces, or surfaces with singular Euclidean structure, tessellations of these surfaces which can be determined by the intrinsic geometry only and (generalised) polyhedra. An important instance are Alexandrov-type polyhedral realisation problems of such surfaces. A particular focus in my research lies on finding explicit algorithmic means to construct these objects. It is closely connected to problems in the theory of circle packings and discrete differential geometry.

Fields of Interest

Geometry, Hyperbolic Geometry, Differential Geometry, Low Dimensional Topology, Combinatorics of Manifolds

Affiliated Institiutions and Projects


  1. A. I. Bobenko, C. O. R. Lutz: Decorated discrete conformal equivalence in non-Euclidean geometries, Preprint (2023) arXiv:2310.17529 [math.GT]
  2. A. I. Bobenko, C. O. R. Lutz: Decorated discrete conformal maps and convex polyhedral cusps, Preprint (2023) arXiv:2305.10988 [math.GT]
  3. C. O. R. Lutz: Canonical tessellations of decorated hyperbolic surfaces, Geom Dedicata, 217(14):1-37, April 2023, doi:10.1007/s10711-022-00746-y , Preprint (2022) arXiv:2206.13461 [math.GT]
  4. A. I. Bobenko, C. O. R. Lutz, H. Pottmann, J. Techter: Non-Euclidean Laguerre geometry and incircular nets. SpringerBriefs (2021), ISBN: 978-3-030-81846-3, x+137 p., Preprint (2020) arXiv:2009.00978 [math.MG]

Outreach & Miscellaneous

Together with Felix Günther, I am organising a "Maths-Circle" for interested and talented students (currently 10th grade). We are meeting weekly and discuss challenging maths problems and puzzles. It is held in German and is part of the Mathematische Schülergesellschaft "Leonhard Euler". More information can be found on the website of our circle (login via "Als Gast Anmelden").

Jointly with Oliver Gross, I am creating the DGD-Calendar. We aim to present recent research of the SFB/TRR 109 in a visually appealing manner. In doing so we hope to foster further interdisciplinary collaborations. But first and foremost we wish to give experts and interested amateurs alike a possibility to enjoy with us the beauty of geometry.
You can find samples of the calendar on the website of the SFB/TRR 109 (year 2021, year 2022, year 2023). Feel free to contact me if your are interested in receiving a hight quality printed copy.

You can find a lot of extra material on incircular nets here.

I was involved in the organisation of the 25th "Berliner Tag der Mathematik" (day of mathematics). Together with Felix Günther, I compiled the exercises for the 11-13 grade maths-competition. Furthermore, I gave a talk on hyperbolic geometry aimed at young school children (7+ grade).