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




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.
Plain Academic