Research output per year
Research output per year
Personal profile
Profile
Research activities and interests
- Geometry and differential geometry with special emphasis on the rôle of curvature. The methods are analytic (potential theory and heat equation analysis) and geometric (curvature comparison geometry). Often via the local and global behaviour of geodesic sprays.
Dissemination activities and interests
- Matematicum, the Mathematics Inspiratorium at The Technical University of Denmark.
- Didactically motivated applications of Computer Algebra and Geometric Analysis Systems (CAGAS) for disseminating and unfolding structural and abstract mathematical concepts and ideas.
Other information
Differential and Riemannian GeometryKeywords
- User defined:
- Differential Geometry
- Comparison Geometry
- Laplacian processes
- Dissemination of Mathematics
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- 6 Similar Profiles
Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
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Energy Spectrum of a constrained Quantum Particle and the Willmore Energy of the constraining Surface
Garcia, V. G. I. & Markvorsen, S., 2024, In: Advances in Theoretical and Mathematical Physics. 27, 8, p. 2499–2517Research output: Contribution to journal › Journal article › Research › peer-review
Open AccessFile -
Mean exit times from submanifolds with bounded mean curvature
Bessa, G. P., Markvorsen, S. S. & Pessoa, L. F., 2024, In: Potential Analysis. 17 p.Research output: Contribution to journal › Conference article › Research › peer-review
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Planar Pseudo-geodesics and Totally Umbilic Submanifolds
Markvorsen, S. & Raffaelli, M., 2024, In: Journal of Geometric Analysis. 34, 2, 15 p., 53.Research output: Contribution to journal › Journal article › Research › peer-review
Open AccessFile -
Snell’s law revisited and generalized via Finsler geometry
Markvorsen, S. & Pendás-Recondo, E., 2023, In: International Journal of Geometric Methods in Modern Physics. 20, 8, 26 p., 2350138.Research output: Contribution to journal › Journal article › Research › peer-review
Open AccessFile -
A lower Bound for the Area of Plateau Foams
Gimeno, V., Markvorsen, S. & Sotoca, J. M., 2020, In: Journal of Inequalities and Applications. 2020, 23 p., 96.Research output: Contribution to journal › Journal article › Research › peer-review
Open AccessFile
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Stochastic Riemannian Geometry with Applications toData Modelling
Rygaard, F. M. (PhD Student), Markvorsen, S. S. (Main Supervisor) & Hauberg, S. (Supervisor)
15/12/2022 → 14/12/2025
Project: PhD
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VIDIGEO (Visual Interactive Differential Geometry)
Markvorsen, S. (Project Manager), Gravesen, J. (Project Participant), Sinclair, R. (Project Participant), Fajstrup, L. (Project Participant), Karstoft, H. (Project Participant) & Raussen, M. (Project Participant)
01/09/1998 → …
Project: Research
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Dynamics of Plane Euler Elastica
Gravesen, J. (Project Manager), Brøns, M. (Project Participant), Hjorth, P. G. (Project Participant), Markvorsen, S. (Project Participant) & Sinclair, R. (Project Participant)
01/09/1997 → …
Project: Research
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Classical Differential Geometry Revisited
Markvorsen, S. (Project Manager)
01/01/1996 → …
Project: Research
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Combinatorial Differential Geometry
Markvorsen, S. (Project Manager), Hjorth, P. G. (Project Participant) & Thomassen, C. (Project Participant)
01/01/1996 → …
Project: Research
Activities
- 1 Supervisor activities
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Geometry optimization through surface perforation using particle repulsion based on scalar fields and principal stress lines
Andersen, S. (Supervisor), Markvorsen, S. S. (Main supervisor), Brander, D. (Supervisor) & Engell-Nørregård, M. (External examiner)
23 Feb 2024 → 7 Jun 2024Activity: Examinations and supervision › Supervisor activities