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
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Principal binets
(arxiv)
N.C. Affolter, J. Techter
2024
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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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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
- 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
- Koenigs binets, 2024
- Principal binets, 2023
- Discrete confocal quadrics and checkerboard incircular nets, Defense, 2020
- Mutually diagonal nets on quadrics and incircular nets, 2019
- Discrete confocal quadrics, 2018
- Discrete z^N, Seminar talk, 2014
- Discrete line congruences over triangulated surfaces, Seminar talk, 2014
Visualization
- pyddg, geometry library for python and blender (docs)
- DGD Gallery, gallery for digital geometric research data
- Koebe polyhedra and minimal surfaces, short movie
Teaching
Courses- WS24/25: Geometry 1 (ISIS)
- SS24: Geometry 2 (ISIS)
- WS23/24: Mathematical Visualization 1 (ISIS)
- 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
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SS24: Projective (discrete) differential geometry
Smooth and discrete surfaces in projective geometry, Möbius geometry, Laguerre geometry, Lie geometry. -
WS23/24: Mathematical Visualization
Projective geometry, Desargues' theorem, affine classification of conics and quadrics, shadows of quadrics, plane curves, osculating circle, evolute, involute, Möbius geometry of plane curves, roulettes of curves, cycloidal pendulum, elliptic billiards, caustics, envelopes and orthogonal trajectories of families of circles, tractrix and Darboux transform, midcircles, ruled and developable surfaces, curvature line parametrizations, focal surfaces, principal curvature spheres, channel surfaces, Dupin cyclides. -
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.