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Alexander Bobenko

Alexander Bobenko is a professor of Mathematics at the Technische Universität Berlin, Germany. His fields of interest include geometry, mathematical physics and applications - in particular differential geometry, discrete differential geometry, integrable systems, Riemann surfaces, and geometry processing. He is currently coordinator of the DFG Transregional Collaborative Research Center "Discretization in Geometry and Dynamics", a member of the Executive Board of the Berlin Mathematical School, and a member of the DFG Research Center "Matheon".

 Alexander Bobenko

 

Quadrilateral surfaces: An emerging field of discrete differential geometry aims at the development of discrete equivalents of notions and methods of classical differential geometry, in particular of surface theory. The latter appears as a limit of a refinement of the discretization. Current interest in discrete differential geometry derives not only from its importance in pure mathematics but also from its applications in computer graphics, theoretical physics, architecture and numerics. These lectures are about quadrilateral surfaces, i.e. surfaces built from planar quadrilaterals. They can be seen as discrete parametrized surfaces. Discrete curvatures as well as special classes of quadrilateral surfaces, in particular discrete minimal surfaces are considered. No knowledge of differential geometry is expected.