Algorithms, Computational Geometry and Topology

Herbert Edelsbrunner

The core of Herbert Edelsbrunner's research is a combination of mathematics and computer science, always driven by relevant questions in applications.  During a past shift from geometry to topology (which are related subjects without clear separation), the group noticed an increase in relevant application questions we could address. These include questions in scientific visualization, structural molecular biology, systems biology, but also geometry processing, medical imaging, and orthodontics. The common theme is the importance of shape and the recognition, matching, and classification of shape. Topology is the area within mathematics whose methods most directly speak to that need. Algorithms and computer software are needed to make mathematical insights useful in applications, which is the motivation to study in topology and also geometry from a computational point of view.

Herbert Edelsbrunner
Institute of Science and Technology Austria (IST Austria)
Am Campus 1
A – 3400 Klosterneuburg
Phone: +43 (0)2243 9000-3301


»Pub list

»Herbert Edelsbrunner's website

»Mathematics at IST Austria website

Alexandra Mally

Phone: +43 (0)2243 9000-1105


  • Arseniy Akopyan, Postdoc
  • Grzegorz Jablonski, Postdoc
  • Zuzanna Masarova, PhD Student
  • Anton Nikitenko, PhD Student
  • Katharina Ölsböck, PhD Student
  • Georg Osang, PhD Student
  • Hubert Wagner, Postdoc

Current Projects

  • Discrete and computational geometry
  • Applied computational algebraic topology
  • Topological dynamical systems

Selected Publications

  • Edelsbrunner H, Harer JL. 2010. Computational Topology. An Introduction. American Mathematical Society, Providence, Rhode Island.
  • Edelsbrunner H. 2001. Geometry and Topology for Mesh Generation. Cambridge University Press, Cambridge, England.
  • Edelsbrunner H. 1987. Algorithms in Combinatorial Geometry. Springer-Verlag, Heidelberg, Germany.


Since 2009 Professor, IST Austria
2007–2008 Visiting Professor, Berlin Mathematical School, Germany
2007 Visiting Professor, Ecole Normale Superieur, Paris, France
2006 Moore Distinguished Scholar, Caltech, Pasadena, USA
2004–2012 Professor for Mathematics, Duke University, Durham, USA
2002 Visiting Professor, Lawrence Livermore National Laboratory, USA
1999–2012 Arts and Sciences Professor for Computer Science, Duke University, Durham, USA
1996–2013 Founder, Principal, and Director, Raindrop Geomagic
1994–1995 Visiting Professor, Hong Kong University of Science and Technology
1985–1999 Assistant, Associate, and Full Professor, University of Illinois, Urbana-Champaign, USA
1981–1985 Assistant, Graz University of Technology, Austria
1982 PhD, Graz University of Technology, Austria

Selected Distinctions
ISI Highly Cited Researcher
2014 Member of the Austrian Academy of Sciences (ÖAW)
2014 European Association for Theoretical Computer Science (EATCS) Fellowship
2009 Member, Academia Europaea
2008 Member, German Academy of Science (Leopoldina)
2006 Honorary Doctorate, Graz University of Technology
2005 Member, American Academy of Arts and Sciences
1991 Alan T. Waterman Award, National Science Foundation

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