Personal profile
Profile
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 IndustryEducation/Academic qualification
D.Phil. (mathematics), University of Oxford
1982 → 1984
cand.scient. (M.Sc.) (mathematics and physics), University of Copenhagen
1974 → 1980
External positions
Guest Professor, University of Southern Denmark
2004
Associate Professor, Technical University of Denmark
1988 → …
Assistant professor, Roskilde University Centre
1985 → 1988
Teaching assistant, Technical University of Denmark
1984 → 1985
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):
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SDG 12 Responsible Consumption and Production
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Collaborations and top research areas from the last five years
Publications
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Tileable Surfaces
Brander, D. & Gravesen, J., 2026, In: Advances in Geometry. p. 1-15Research output: Contribution to journal › Journal article › Research › peer-review
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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 proceeding › Book chapter › Research › peer-review
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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 journal › Journal article › Research › peer-review
Open AccessFile20 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. 11925–11931Research output: Contribution to journal › Journal article › Research › peer-review
Open AccessFile124 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. 203-241Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review
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Modelling with 3D elastica
Isern Hacker, M. (PhD Student), Brander, D. (Main Supervisor), Gravesen, J. K. (Supervisor) & Nassar, H. (Supervisor)
01/11/2024 → 31/10/2027
Project: PhD
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Mathematics of Surface Stackability
Chocarro Salaberria, A. (PhD Student), Brander, D. (Main Supervisor), Nassar, H. (Supervisor) & Gravesen, J. K. (Supervisor)
01/10/2024 → 30/09/2027
Project: PhD
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Length of general subdivision curves
Gravesen, J. K. (Project Manager), Villiers, J. D. (Project Participant) & Goosen, K. (Project Participant)
28/03/2000 → …
Project: Research
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Invariants in differential geometry and elasticity
Gravesen, J. (Project Manager)
01/02/1999 → …
Project: Research
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VIDIGEO (Visual Interactive Differential Geometry)
Markvorsen, S. S. (Project Manager), Gravesen, J. K. (Project Participant), Sinclair, R. (Project Participant), Fajstrup, L. (Project Participant), Karstoft, H. (Project Participant) & Raussen, M. (Project Participant)
01/09/1998 → …
Project: Research
Activities
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University of Southern Denmark (External organisation)
Gravesen, J. (Participant)
23 Apr 2015 → 20 May 2015Activity: Membership › Membership in review committee
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TU Kaiserslautern (External organisation)
Gravesen, J. (Participant)
1 Jul 2015 → 29 Oct 2015Activity: Membership › Membership in review committee
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University of Southern Denmark (External organisation)
Gravesen, J. (Participant)
29 Sept 2015 → 21 Dec 2015Activity: Membership › Membership in review committee
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New Trends in Applied Geometry
Gravesen, J. (Participant)
20 Feb 2011 → 25 Feb 2011Activity: Attending an event › Participating in or organising a conference
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SAGA Fall School 2011
Gravesen, J. (Participant)
27 Sept 2011 → 30 Sept 2011Activity: Attending an event › Participating in or organising workshops, courses, seminars etc.