Jan Techter
techter at math dot tu minus berlin dot de
AG Geometrie und mathematische Physik
Intstitut für Mathematik
TU Berlin
Strasse des 17. Juni 136,
10623 Berlin, Germany
Office: MA 880
Research interests
Geometry, Differential Geometry, Discrete Differential Geometry
Publications
Books-
Non-Euclidean Laguerre Geometry and Incircular Nets
(arxiv)
A.I. Bobenko, C.O.R. Lutz, H. Pottmann, J. Techter
SpringerBriefs in Mathematics. Springer, Cham. 2021
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On mutually diagonal nets on (confocal) quadrics and 3-dimensional webs
(arxiv)
A.V. Akopyan, A.I. Bobenko, W.K. Schief, J. Techter
Discrete Computational Geometry, 2020 -
Checkerboard incircular nets: Laguerre geometry and parametrisation
(arxiv)
A.I. Bobenko, W.K. Schief, J. Techter
Geometriae Dedicata, 2019 -
On a discretization of confocal quadrics. II. A geometric approach to general parametrizations
(arxiv)
A.I. Bobenko, W.K. Schief, Y.B. Suris, J. Techter
International Mathematics Research Notices, 2018 -
On a discretization of confocal quadrics. I. An integrable systems approach
(arxiv)
A.I. Bobenko, W.K. Schief, Y.B. Suris, J. Techter
Journal of Integrable Systems, 1(1):xyw005 , 2016 -
DGD Gallery: Storage, sharing, and publication of digital research data
(arxiv)
M. Joswig, M. Mehner, S. Sechelmann, J. Techter, A.I. Bobenko
In A. I. Bobenko, eds., Advances in Discrete Differential Geometry. Springer, 2016
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Discrete confocal quadrics and checkerboard incircular nets
PhD thesis, 2020 -
On some Variational Principles in Discrete Differential Geometry
MSc thesis, 2015 -
Generalized isoradial circle patterns
BSc thesis, 2013
Conferences and Workshops
Teaching
- SS23: Geometry 2 (ISIS)
- WS22/23: Geometry 1 (ISIS)
- SS22: Geometry 2
- WS21/22: Geometry 3
- SS21: Geometry 2 (ISIS)
- WS20/21: Geometry 1 (ISIS)
- SS20: Geometry 2 (ISIS)
- WS19/20: Geometry 1
Lecture Notes
-
WS21/22: Confocal quadrics, their discretization, and related topics
smooth/discrete orthogonal nets, smooth/discrete curvature line parametrizations, smooth/discrete confocal quadrics, diagonally related nets on surfaces, classification of pencils of quadrics. -
SS21: Non-Euclidean Geometries (with notes)
Möbius geometry, Laguerre geometry, Lie geometry, Plücker geometry, curves and surfaces in these geometries. -
SS20: Non-Euclidean Geometries
Projective geometry, projective configurations, quadrics, Klein Erlangen program, classification of (dual) pencils of conics, Graves-Chasles theorem, incircular nets, Laguerre geometry, hypercycles, checkerboard incircular nets. -
SS14: Discrete Differential Geometry
Discrete curves: curvatures, flows, elastica, Darboux transforms;
Discrete surfaces: abstract discrete surfaces, polyhedral surfaces, piecewise flat surfaces, discrete cotan Laplace operator, Delaunay tessellations, line congrueneces over simplicial surfaces, polyhedral surfaces with parallel Gauss map, Willmore energy.