Differential Geometry and Geometric Structures
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Welcome to the Research Group
Differential Geometry and Geometric Structures


A discrete isothermic surface of revolution, the parts above and below the indicated plane are discrete minimal nets in the respective Poincaré half space.

Differential geometry has been a thriving area of research since more than 200 years, employing methods from analysis to investigate geometric problems. Typical questions involve the shape of smooth curves and surfaces and the geometry of manifolds and Lie groups. The field is at the core of theoretical physics and plays an important role in applications to engineering and design.

Finite and infinite geometric structures are ubiquitous in mathematics. Their investigation is often intimately related to other areas, such as algebra, combinatorics or computer science.

These two aspects of geometric research stimulate and inform each other, for example, in the area of "discrete differential geometry", which is particularly well suited for computer aided shape design.


The members of our group and their work

How to Find Us

Our institute is at the heart of Vienna.

Research Areas

Present, future, and past activities


Lectures and other courses


Authored, edited, co-authored or co-edited by members of our group


Habilitation, doctoral, diploma, and Bachelor's theses


Guests of our research group


Conferences, research colloquia, defensiones, and more

Mathematical Models at the Institute of Discrete Mathematics and Geometry

An illustrated catalogue of our plaster models (in German)

Kinematic Models at the Institute of Discrete Mathematics and Geometry

An illustrated catalogue of our kinematic models (in German)

Picture Gallery of Map Projections

Hundreds of different views of the earth


CAD-3D, CAD-2D und HyCAD (in German)

Journal for Geometry and Graphics

Instructions for authors


Our web site at a glance


Integrable systems and harmonic maps

Vienna University of Technology
16 - 18 September 2019

Conference poster (PDF)
The catalogues of our planar/spatial kinematic models are online.


Lehramt Darstellende Geometrie (in German)
Institute of Discrete Mathematics and Geometry
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Last modified: Tuesday, 06-Jul-2021 00:38:06 CEST