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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

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

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):

  1. SDG 12 - Responsible Consumption and Production
    SDG 12 Responsible Consumption and Production

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Collaborations and top research areas from the last five years

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  • Tileable Surfaces

    Brander, D. & Gravesen, J., 2026, In: Advances in Geometry. p. 1-15

    Research output: Contribution to journalJournal articleResearchpeer-review

  • Differential Geometry Applied to Rings and Möbius Nanostructures

    Lassen, B., Willatzen, M. & Gravesen, J., 2025, Physics of Quantum Rings . Springer, Vol. 836. p. 537-586 (NanoScience and Technology).

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearchpeer-review

  • Triboelectric-enabled self-powering mechanical antenna

    Pan, X., Gravesen, J., Willatzen, M., Guo, X., Wang, Z. L. & Shao, J., 2025, In: Cell Reports Physical Science. 6, 6, 16 p., 102608.

    Research output: Contribution to journalJournal articleResearchpeer-review

    Open Access
    File
    20 Downloads (Orbit)
  • Modeling and optimization of a spherical triboelectric generator

    Gravesen, J., Willatzen, M., Shao, J. & Wang, Z. L., 2023, In: Nano Research. 16, 9, p. 11925–11931

    Research output: Contribution to journalJournal articleResearchpeer-review

    Open Access
    File
    124 Downloads (Orbit)
  • Quantitative Calculation of Output Power and Spherical Triboelectric Nanogenerators

    Gravesen, J., Willatzen, M., Shao, J. & Wang, Z. L., 2023, Handbook of Triboelectric Nanogenerators. Springer, p. 203-241

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearchpeer-review