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My research started in pure mathematics in the fields of differential geometry and global analysis. I have now moved in to more applied mathematics especially geometric design. I am especially interested in representations of curves, surfaces, and other geometric objects that allows for exact calculations. An other part of my research is concerned with geometric effects in quantum mechanics, with a view to applications in nano technology.

I am also interested in concrete industrial applications of mathematics. In 1998 Poul Hjorth and I initiated the first European Study Group with Industry (ESGI) in Denmark and I have since participated in the organisation of these yearly workshops where mathematicians works on problems from industry.

Research areas

Differential geometry. Geometric design. Computer aided geometric design. Mathematics in Industry

Expertise related to UN Sustainable Development Goals

In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):

  • SDG 12 - Responsible Consumption and Production

Education/Academic qualification

D.Phil. (mathematics), University of Oxford

19821984

cand.scient. (M.Sc.) (mathematics and physics), University of Copenhagen

19741980

External positions

Guest Professor, University of Southern Denmark

2004

Associate Professor, Technical University of Denmark

1988 → …

Assistant professor, Roskilde University Centre

19851988

Teaching assistant, Technical University of Denmark

19841985

Keywords

  • User defined:
  • Differential geometry
  • Geometric design

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