Steen Markvorsen

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Address: DTU Compute Matematiktorvet Building 303B Technical University of Denmark DK-2800 Kgs. Lyngby DENMARK

Room: 160 Telephone (Operator): (+45) 4525 3031 Telephone (Direct): (+45) 4525 3049. Fax: (+45) 4588 1399 E-mail: stema@dtu.dk

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Curriculum Vitae

• CV.pdf     Link to file including further details, lists of publications, etc.

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Teaching and Learning

• New Mathematics1: Homepage.
• MathTech Project 01666 (F10): Snail shell geometry. Description.
• 01999 Geometric Operations in Plane and Space (E09, E10, E11, E12). Homepage.
• Member of E-Learning project HEROS for first year math – new ways of learning (with grantholder H. Rootzén, DTU Informatics; K. Schmidt, DTU Mathematics; and M. May, LearningLab DTU). Funded by the National IT and Telecom Agency for The Ministry of Science, Technology, and Innovation.
• Active Math Learning. Presentation at the CDIO Regional Nordic meeting, October 21. 2008 at DTU.
• Math Education at a Crossroads. Video recorded presentation of Mathematics 1 and Maple integration at KTH Learning Lab, Stockholm, January 16^th 2008. Also presented at ICME 11 in Monterrey, Mexico, July 2008: http://www.icme11.org/node/622
• Matematicum – The Mathematical Inspiratorium at DTU. Initiated July 2007. Officially opened March 6.th 2008. (With C. Henriksen, K. Schmidt, L. R. Knudsen, J. Starke.) Funded by the Danish Research Council, Birch & Krogboe Foundation, DTU’s Strategic Fund, Danske Bank, and Skoletjenesten.
• 3D Printing and 3D Scanning – Theory and Practice. (With J. Gravesen and P.-E. Madsen.) Funded by DTU’s Strategic Fund, 2007.
• 01530 Kinematics (F08, 3week period). Homepage.
• 01005 Mathematics 1 (E07—F08, E08—F09). Homepage.
• 01234 Differential Geometry with Applications (F06, F07, F12). Homepage
• Learning Lab DTU projects (E04 - F05). Homepage. Project: Math Education at a Crossroads.
• Advanced Engineering Mathematics 1 (01005)  (E03—F04) . With Maples en masse.
• Informatics Project (F04): Best possible map along a geographic route.
• Special Project (F04): Analysis on Minimal Surfaces.
• Special Project (E02): Introductory Differential Geometry using Mathematica .
• Projects in Algorithms (02621)  (June 2002); Project:  The Arithmetic-Geometric Mean .
• Informatics Project (02120)  (E02—F03) ; Project:  Dodecahedral Globe .
• Informatics Project (02120)  (E01—F02); Project:  Every map is defective .

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Research Interests

• Differential Geometry
• Curvature and Distance Geometry
• Global Riemannian Geometry
• Finite Metric Spaces, Graph Theory
• Minimal Submanifolds 
• Minimal Graphs
• Transience/Recurrence Phenomena on Manifolds and Graphs
• General Relativity
• Cut Loci
• Euler Elasticae
• Boomerangs
• Spider Webs
• Wildfire Models
• 3D printing of mathematical form and shape

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Research Impact Statistics Profile (May 2013)

• According to ISI Web of Knowledge, Web of Science
  Articles: 30; Sum of times cited: 203; Average citations per item: 6.8; H-index: 9
  
  
• According to AMS Math Review, MathSciNet
  Total publications: 36; Co-authors: 19; Total cites: 163; Cited by 94 authors
  
  
• AMS MathSciNet (selected) Collaboration Distances
  C. F. Gauss: 6; B. Riemann: 5; A. Einstein: 4;
  S. S. Chern: 3; S. T. Yau: 3; M. Gromov: 3; P. D. Lax: 3; L. Carleson: 3; M. Berger: 3; K. Nomizu: 3; J. Cheeger: 3;
  P. Erdös: 2; H. Busemann: 2; R. M. Schoen: 2; J. Dodziuk: 2; H. Karcher: 2; J. P. Bourguignon: 2; D. Gromoll: 2;

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Recent Publications

       Research

§ S.Markvorsen: From PA(X) to RPAM(X), Chapter in book: Raising Public Awareness of Mathematics, Eds.: E. Behrends, N. Crato, and J. F. Rodrigues, pp. 255–267, Springer, 2012. (DTU Orbit)

§ M. K. Misztal, J. A. Bærentzen, F. Anton, and S. Markvorsen: Cut locus construction using deformable simplicial complexes. In Eighth International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2011), pages 134 – 141, 2011. (DTU Orbit)

§ Ana Hurtado, S.Markvorsen, and Vicente Palmer: Comparison of exit moment spectra for extrinsic metric balls. Potential Analysis 36 (2012) 137—153 (DTU Orbit)

§ S. Markvorsen and V. Palmer: Extrinsic Isoperimetric Analysis on Submanifolds with Curvatures bounded from below. Journal of Geometric Analysis 20 (2010) 388 – 421. (DTU Orbit)

• Ana Hurtado, S. Markvorsen, and Vicente Palmer: Torsional Rigidity of Submanifolds with controlled Geometry. Mathematische Annalen 344 (2009) 511 – 542. (DTU Orbit)
  
  
• I. Holopainen, S. Markvorsen, and V. Palmer: p-Capacity and p-Hyperbolicity of Submanifolds.  Revista Mathemática Iberoamericana 25 (2009) 709 – 738. (DTU Orbit)
  
  
• S. Markvorsen: The classical version of Stokes' theorem revisited. Int. J. of Math. Education in Science and Technology, Vol. 39 (issue 7) (2008) 879—888. (DTU Orbit)
• S.Markvorsen: Minimal Webs in Riemannian Manifolds. Geometriae Dedicata 133 (2008) 7 – 34. (DTU Orbit)
• H. Bohr, J. Ipsen, and S. Markvorsen: Condensed Matter Physics of Biomolecule Systems in a Differential Geometric Framework. International Journal of Modern Physics B Vol. 21 (2007) 2475—2492. (DTU Orbit)
• S. Markvorsen and V. Palmer: Torsional Rigidity of Minimal Submanifolds. Proceedings of the London Mathematical Society 93 (2006) 253—272. (DTU Orbit)
• J. Gravesen, S. Markvorsen,  R. Sinclair, and M. Tanaka: The Cut Locus of a Torus of Revolution. Asian Journal of Mathematics (9) No. 1, (2005) 103—120.
• S. Markvorsen and V. Palmer : How to obtain Transience from Bounded Radial Mean Curvature.Transactions of the American Mathematical Society 357 (2005) 3459—3479.
• S. Markvorsen and V. Palmer: Transience and Capacity of Minimal Submanifolds, GAFA, Geometric and Functional Analysis (13) (2003) 915—933.
• S. Markvorsen and M. Min-Oo : Global Riemannian Geometry .  Advanced Courses in Mathematics - CRM Barcelona. Birkhäuser (2003).
• S. Markvorsen and V. Palmer : On the Isoperimetric Rigidity of Extrinsic Minimal Balls,  Differential Geometry and its Applications (18) (2003) 47—54.
• S. Markvorsen and V. Palmer : The Relative Volume growth of Minimal Submanifolds,  Archiv der Mathematik (79) (2002) 507—514 .
• P. Hjorth, S. L. Kokkendorff, and S. Markvorsen: Hyperbolic Spaces are of Strictly Negative Type, Proc. Amer. Math. Soc. (130) (2002) 175—181.
• S. Markvorsen and V. Palmer : Generalized Isoperimetric Inequalities for Extrinsic Balls in Minimal Submanifolds,  Journal für die reine und angewandte Mathematik  (551) (2002) 101—121.

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• G. Pacelli Bessa, S. Markvorsen, and J. Fabio Montenegro: Heat kernel comparison theorems for minimal submanifolds of N x R^l . In Preparation.

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Dissemination

• H. Buhl, S. Markvorsen, and J. Martens: Imaginary. Matilde 47, 2013.
• S. Markvorsen: Brand! Presentation at the launch of Matematiske Horisonter, DTU, 27.08.09. (DTU Orbit).
• S.Markvorsen: The Meaning of Curvature – A distance Geometric Approach. Presentation at Summer School on Manifold Learning in Image and Signal Analysis, Hven, Sweden, August 17- 21, 2009. (DTU Orbit).
• S. Markvorsen: Fire! Chapter in book: Mathematical Horizons (in Danish). Eds.: Carsten B. Hansen, Per. C. Hansen, Vagn L. Hansen, and Mette M. Andersen, DTU (2009) pp. 50 – 61. (DTU Orbit).
• Contribution to the Danish Mathematical Society Summer Camp at Aalborg University, August 13.–15. 2008 Presentations: How to keep warm at a camp fire and Boomerang! Geometric Form and Function go into Action. Video clip by Ida Thorsen and Ulrich Schulz, 24Nordjyske (TV når DU har tid).
• S. Markvorsen: A Blue Lagoon Function. A 3D print and a short paper-borne explanation. Produced upon special request from Gunnar Mohr, Dean of Studies, DTU, December 2007.
• S. Markvorsen and P. G. Hjorth: XM@DTU - Licence to Thrill. In: Eksperimentel Matematik (in Danish). Ed. by Olav Lyndrup et al. Matematiklærerforeningen (2007).
• S. Markvorsen: Matematikken i Krydsfeltet mellem Undervisning, Forskning, og Innovation. Proceedings from 3:e Pedagogiska inspirationskonferensen , Eds.: Lisbeth Tempte, and Torgny Roxå, Lunds Tekniska Högskola, 31. maj. (2005) 60—61.
• S. Markvorsen : An Eye Witness Tale in booklet by G. Balling and E. Schuler: The Science Café, Science, Art, and Culture , Hovedland Publishers (2004) pp. 43—44.
• Lyt til Geometrien. An interview by J. Møller Nielsen, Ingeniøren 18.6.2004, Section 1, pp. 20--21.
• M. P. Bendsøe, A. Bertelsen, P. G. Hjorth, and S. Markvorsen: Optimale Konstruktioner. Perspektiv (3), Fysikforlaget, (2003) 1—8.
• B. Branner and S. Markvorsen: Interview with Vagn Lundsgaard Hansen. Newsletter of the European Mathematical Society (47) (March 2003) 15 - 19. Reprinted in Matilde , Newsletter of the Danish Mathematical Society, (17) (June 2003) 34—40.
• P. Sørensen, H. Rootzen, and S. Markvorsen:  IT and learning at DTU (in Danish), IPN news (11) (2002) 10—11.
• K. E. Andersen and S. Markvorsen:  Boomerang. Web page (Danish) with boomerang flight simulations (2001). Photos (by K. E. Andersen) from the opening of the Science Festival 2000 at the house of IDA .
• P. Alsholm, W. Kliem, and S. Markvorsen : Shaping the Future of Engineering Mathematics. Proceedings of the  SEFI Annual Conference (Eds.: Ole Vinther and Palle Sørensen), Copenhagen September 12. - 14. , 2001, p. 170.
• S. Markvorsen : Mathematics is concerned with the understanding of what is going on,  (in Danish). Chapter 6 in : Matematikken og Verden, (ed. Mogens Niss), Fremad (2001).
• S. Markvorsen : An Interview with Professor Bernd Wegner, Newsletter of the European Mathematical Society (37) (Sep. 2000) 24—26.
• S. Markvorsen and B. Schneider : Roger Penrose holder foredrag paa DTU (Danish), Sletten (2000) ( 14) , 2—3 .
• P. Hjorth and S. Markvorsen : Experimental Mathematics - Mathematical Experiments (in Danish), Naturens Verden   (1999) (3)  33—40.
• K. E. Andersen and S. Markvorsen : An explorative Story concerning  Geometry,  Space and Time,   http://www.sciencesite.dtu.dk/matematik/index.htm (1999).
• S. Markvorsen :  Paa Geometrisk Opdagelse i Tid og rum (Danish), Aktuel Naturvidenskab  (1999) (3) , 3—6 .
• S. Markvorsen : An Interview with Professor Sir Christopher Zeeman, Newsletter of the European Mathematical Society (30) (Dec 1998) 14—19.

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Outreaches

• RPA Raising Public Awareness of Mathematics, appointed by the EMS European Mathematical Society.
• Maple Workshop for High School teachers. (Organizer together with Christian Thune Jacobsen.) DTU Mathematics, August 24.-25. 2009.
• Workshop on Discrete Differential Geometry. (Organizer together with David Brander.) DTU Mathematics, July 16. 2009.
• Matematicum – The Mathematical Inspiratorium at DTU. Initiated July 2007. Officially opened March 6.th 2008. (With C. Henriksen, K. Schmidt, L. R. Knudsen, J. Starke.) Funded by the Danish Research Council, Birch & Krogboe Foundation, DTU’s Strategic Fund, Danske Bank, and Skoletjenesten.
• 3D Printing and 3D Scanning – Theory and Practice. (With J. Gravesen and P.-E. Madsen.) Funded by DTU’s Strategic Fund, 2007.
• Workshop on Geometry, Dynamics and Complex Analysis  Workshop 24th. - 25th. November 2006. (Organizer together with J. Gravesen.)
• Geometry and Global Analysis   Workshop 3rd. - 4th. November 2003.   (Organizer together with J. Gravesen.)
• DMF Preprint Server   National preprint server for mathematics. (Member of the steering committee.) Inputs to MPRESS.
• DMF SummerSchool  Contribution (with B. Branner): Geometric Minimal Constructions , SDU, 2003.
• LIMES               Large Infrastructure in Mathematics (EU-project  2000—2004).
• Science Café     What is science? A debate 9.th March 2003. (Invited commentator.)
• Science Site     An explorative Story concerning  Geometry,  Space and Time (1999). (Story teller.)
• DNL                  Danish Encyclopedia.  (Author and figure maker.)
• AN                    Aktuel Naturvidenskab. (Associate editor 1999—2005.)
• EMSnews          Newsletter of the European Mathematical Society. (Associate editor 1999—2005.)
• FolkeUniv         University extension lectures
• Ny Viden          (New Knowledge) Mathematics presented to Gymnasium students.
• DNF                   Danish Science Communication.

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Links

• DMF The Danish Mathematical Society.
• EMS                                                    The European Mathematical Society.
• AMS                                                    The American Mathematical Society.
• MAA The Mathematical Association of America.
• arXiv

The former Los Alamos, now Cornell, Preprint server.

•  DMFpreprintServer                            The preprint server established by the Danish Mathematical Society.
• CRM                                                    Centre de Recerca Matematica.
• History of Mathematics                      Biographies of Mathematicians, Famous Curves, History of Mathematics.
• SGP                                                      The Scientific Graphics Project at   MSRI   .
• Surface Evolver                                  Ken Brakke's  tool for Surface Energy Minimization under Constraints.
• Mathematica                                        Indispensable software tool for doing mathematics .
• Maple                                                   Indispensable software tool for doing mathematics .
• MathWorld                                           Eric Weisstein's Mathematics Encyclopedia .
• Electronic Geometry Models            A tribute to  Hilbert ,  Cohn-Vossen,  Klein  and all other geometers.
• The Electronic Library .                     The Electronic Library of Mathematics via EMIS.
• Astronomy Pictures                           Astronomy Picture of the Day Archive.
• Chandra                                               The Chandra Chronicles.
• NASA                                                 NASA today.
• Your Erdös number         And thence an upper bound on e.g. your Gates Number and your Einstein Number.
• Mathematical Ancestors                    A branch of the   Mathematical Genealogy Project.
• NRICH                                                Elementary and exciting mathematics enrichments .
• Cut-The-Knot                                    More elementary and exciting mathematics .
• Calculus Exercises                               Calculus on the web by Gerardo Mendoza and Dan Reich.
• A Word A Day                                    Etymological word trekking .
• A Quote A Day                                   Mathematical quotations .
• A Mathematician A Day                   From the   History of Mathematics

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Selections from the Gallery

(Tips of the Icebergs)

• Minimal Surfaces                A collection of soap film surfaces.
• Umbrellas                            A collection of  umbrellas a'la Hassler Whitney   .
• Variety                                 A collection of miscellaneous figures .

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