Steen Markvorsen

Steen Markvorsen

Professor

Matematiktorvet, Building 303 B, Room 160

DK-2800 Kgs. Lyngby

Denmark

Phone: 45253049

Fax: 45 88 13 99

Research activities and interests

  • Geometry and differential geometry with special emphasis on diffusion related processes in doubly curved surfaces - for example in surfaces with constant mean curvature (soap films and foams). We obtain sharp inequalities for mean exit times for Brownian motion and for isoperimetry (the area to length ratio) for special spherical subdomains on such surfaces. The methods are analytic (potential theory and heat equation analysis) and geometric (curvature comparison geometry). There are applications to biological membranes resembling minimal surfaces and to surfaces with complex but curvature controlled topology. This research is supported by the Danish Natural Sciences Research Council (FNU) and by the Spanish Ministry of Science via collaboration with Vicente Palmer, Universitat Jaume I.
  • Geodesic curves are ocally the shortest curves on a given surface. In curved surfaces and in topologically non-trivial surfaces we encounter, however, an interesting lensing effect: At a suitable distance from a given point we may find other points from which there are more than one geodesic curve to the given point. There are applications of this research to models of forest fires and to the study of gravitational lenses.

Dissemination activities and interests

  • Matematicum, the Mathematics Inspiratorium at The Technical University of Denmark. This initiative is supported by FNU, by the Birch & Krogboe Foundation , and by Rector's strategic fund at DTU.
  • Didactically motivated applications of Computer Algebra and Analysis Systems (CAAS) for disseminating and unfolding structural and abstract mathematical concepts and ideas. Has been supported by LearningLab DTU.

Further information

  • My personal homepage - see the link to the left in this box
  • The DTU research database ORBIT - see the links at the topright corner of  this box

CV

Academic grades

Ph.D. (Lic. Techn.)

Ph.D. (Lic. Techn.)

International experience

Differential and Riemannian Geometry

My links

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  • European Mathematical Society. Newsletter

    ISSNs: 1027-488X

    European Mathematical Society Publishing House, Switzerland

    ISI indexed (2013): no

    Central database

    Journal

  • Aktuel Naturvidenskab

    ISSNs: 1399-2309, 13992309

    Denmark

    ISI indexed (2013): no

    Central database

    Journal

  • S I A M Review

    ISSNs: 0036-1445

    Society for Industrial and Applied Mathematics, United States

    FI (2013): 2, ISI indexed (2013): yes

    Central database

    Journal

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Place of employment

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