Steen Markvorsen

Address:
Department of Mathematics
Matematiktorvet, Building 303SouthEast
Technical University of Denmark
DK-2800 Kgs. Lyngby
DENMARK

Room: 052
Telephone (Operator): (+45) 4525 3031
Telephone (Direct): (+45) 4525 3049.
Fax: (+45) 4588 1399
E-mail: S.Markvorsen@mat.dtu.dk

Curriculum Vitae

CV.pdf Including lists of publications etc.

Teaching and Learning

MathTech Project 01666 (F10): Snail shell geometry. Description.
01999 Geometric Operations in Plane and Space (E09, E10). 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). 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 .

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

Research Impact Statistics Profile (Jan. 2011)

According to ISI Web of Knowledge, Web of Science
Articles: 30; Sum of times cited: 168; H-index: 8
According to AMS Math Review, MathSciNet
Total publications: 35; Co-authors: 19; Total cites: 122; Cited by 65 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.

Recent Publications

Research

§ M. K. Misztal, J. A. Bærentzen, F. Anton, and S. Markvorsen: Cut locus construction using deformable simplicial complexes. Accepted for publication in the IEEE Proceedings of ISVD 2011.

§ Ana Hurtado, S.Markvorsen, and Vicente Palmer: Comparison of exit moment spectra for extrinsic metric balls. Accepted for publication in Potential Analysis, Mat-Report 2010-01, 15 pages. (DTU Orbit)

§ S. Markvorsen and V. Palmer: Extrinsic Isoperimetric Analysis on Submanifolds with Curvatures bounded from below. Journal of Geometric Analysis (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.

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

Dissemination

S. Markvorsen: Brand! Præsentation ved lancering af 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.

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.

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 .