Publications and preprints
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2023
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The Discrete Theorema Egregium
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With Thomas F. Banchoff
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Published in the American Mathematical Monthly, 18 pages
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2020
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Smooth polyhedral surfaces
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With Caigui Jiang and Helmut Pottmann
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Published in Adv. Math. 363, 2020, 107004, 31 pages
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2019
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The Gauss map of polyhedral vertex stars
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With Thomas F. Banchoff
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Preprint arXiv:1909.09184
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2017
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Winkeltreue zahlt sich aus
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Published in Snapshots of Modern Mathematics from Oberwolfach, 1/2017, pp. 1-11
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2017
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Discrete Riemann surfaces based on quadrilateral cellular decompositions
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With Alexander I. Bobenko
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Published in Adv. Math. 311, 2017, pp. 885-932
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2016
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Measuring and controlling fairness of triangulations
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With Caigui Jiang, Helmut Pottmann, and Johannes Wallner
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Published in Advances in Architectural Geometry 2016, vdf Hochschulverlag AG an der ETH Zürich, 2016
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Best paper award of the conference AAG 2016
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2016
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Discrete complex analysis on planar quad-graphs
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With Alexander I. Bobenko
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Published in Advances in Discrete Differential Geometry, Springer, 2016, pp. 55-128
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2015
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The local geometry of compact homogeneous Lorentz spaces
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Published in J. Geom. Phys. 89, 2015, pp. 60-73
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2014
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Discrete Riemann Surfaces and Integrable Systems
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PhD thesis, Technische Universität Berlin, School II Mathematics and Natural Sciences, Department of Mathematics
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2013
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Discrete complex analysis the medial graph approach
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With Alexander I. Bobenko
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Published in Actes des rencontres du CIRM 3 no. 1: Courbure discrète: théorie et applications (2013), pp. 159-169
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2013
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On a game on graphs
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Joint with Irina Mustaţă
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Preprint arXiv:1302.5711
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2012
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Discrete complex analysis on quad-graphs
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Joint with Alexander I. Bobenko
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Research report published in Oberwolfach Reports No. 34/2012, pp. 2091-2094
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2012
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On discrete integrable equations with convex variational principles
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With Alexander I. Bobenko
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Published in Lett. Math. Phys. 102(2), 2012, pp. 181-202
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Updated version arXiv:1111.6273
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2011
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Isometry groups of Lorentzian manifolds of finite volume and The local geometry of compact homogeneous Lorentz spaces
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Diploma thesis, Humboldt-Universität zu Berlin, Faculty of Mathematics and Natural Sciences II, Department of Mathematics
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ISBN: 978-3-656-01734-9 (Book); 978-3-656-01707-3 (eBook)
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