Bernd Schulze

  • I am a Lecturer in the Department of Mathematics and Statistics at the University of Lancaster.
  • Before coming here, I held postdoctoral positions at the Fields Institute, University of Toronto, (from 07.2011 to 12.2011) and at York University (from 01.2012 to 06.2012).
  • Prior to that (from 06.2009 to 06.2011), I worked as a postdoctoral fellow in the Discrete Geometry Group at the TU Berlin (and FU Berlin) under the direction of Günter M. Ziegler.
  • I studied mathematics and computer science at the FU Berlin and at Western Michigan University, and I did my Ph.D. in Toronto (York University, 05.2009) with Walter Whiteley.


  • Address:
    Department of Mathematics and Statistics
    Fylde College
    Lancaster University
    Lancaster
    LA1 4YF, United Kingdom

    Office: Fylde B11
    Telephone: +44 (0) 1524 592173
    E-Mail: b.schulze -at- lancaster.ac.uk

    Lancaster University

    Research

    Publications

    Talks and Presentations

    Teaching

    Miscellaneous


    Research interests

    Some nice examples:



    Publications

      Preprints / papers in preparation:

    1. Bernd Schulze and Shin-ichi Tanigawa, On unique symmetric graph realizations, in preparation, 2014

    2. Viktoria Kaszanitzky and Bernd Schulze, Lifting symmetric pictures to polyhedral scenes, in preparation, 2014

    3. Derek Kitson and Bernd Schulze, Rigidity of symmetric frameworks in normed spaces, in preparation, 2014

    4. Tony Nixon, Bernd Schulze, Adnan Sljoka and Walter Whiteley, Symmetry adapted Assur decompositions, preprint, 39 pages 2014

    5. Bernd Schulze and Shin-ichi Tanigawa, Linking rigid bodies symmetrically, submitted, 25 pages, 2014

    6. Tony Nixon and Bernd Schulze, Symmetry-forced rigidity of frameworks on surfaces, submitted, 32 pages, 2013

    7. Bernd Schulze and Shin-ichi Tanigawa, Infinitesimal rigidity of symmetric bar-joint frameworks, submitted, 31 pages, 2013


    8. Papers published or accepted in refereed journals:

    9. Bernd Schulze, Patrick Fowler and Simon Guest, When is a symmetric body-hinge structure isostatic?, to appear in International Journal of Solids and Structures, 28 pages, 2014

    10. Bernd Schulze, Adnan Sljoka and Walter Whiteley, How does symmetry impact the flexibility of proteins?, Philosophical Transactions of the Royal Society A, Vol. 372, No. 2008, 20120041, 2014

    11. Bernd Schulze and Walter Whiteley, Coning, symmetry, and spherical frameworks, Discrete & Computational Geometry 48, Issue 3, 622-657, 2012

    12. Bernd Schulze and Walter Whiteley, The orbit rigidity matrix of a symmetric framework, Discrete & Computational Geometry 46, Issue 3, 561-598, 2011

    13. Bernd Schulze, On the area discrepancy of triangulations of squares and trapezoids, The Electronic Journal of Combinatorics 18 (1), P137, 1-16, 2011

    14. Elissa Ross, Bernd Schulze, Walter Whiteley, Finite motions from periodic frameworks with added symmetry, International Journal of Solids and Structures 48, 1711-1729, 2011

    15. Bernd Schulze, Symmetric Laman theorems for the groups C_2 and C_s, The Electronic Journal of Combinatorics 17 (1), R154, 1-61, 2010

    16. Bernd Schulze, Symmetry as a sufficient condition for a finite flex, SIAM Journal on Discrete Mathematics 24, No. 4, 1291-1312, 2010

    17. Simon Guest, Bernd Schulze and Walter Whiteley, When is a symmetric body-bar structure isostatic?, International Journal of Solids and Structures 47, 2745-2754, 2010

    18. Bernd Schulze, Symmetric versions of Laman's Theorem, Discrete & Computational Geometry 44, Issue 4, 946-972, 2010

    19. Bernd Schulze, Block-diagonalized rigidity matrices of symmetric frameworks and applications, Contributions to Algebra and Geometry 51, No. 2, 427-466, 2010

    20. Bernd Schulze, Injective and non-injective realizations with symmetry, Contributions to Discrete Mathematics 5, No. 1, 59-89, 2010

    21. Robert Connelly, Patrick Fowler, Simon Guest, Bernd Schulze and Walter Whiteley, When is a symmetric pin-jointed framework isostatic?, International Journal of Solids and Structures 46, 762-773, 2009


    22. Papers published or accepted in refereed conference proceedings:

    23. Josep Porta, Lluis Ros, Bernd Schulze, Adnan Sljoka and Walter Whiteley, On the Symmetric Molecular Conjectures, Computational Kinematics, Mechanisms and Machine Science, Vol. 15, 175-184, 2014

    24. Patrick Fowler, Simon Guest and Bernd Schulze, Mobility of symmetry-regular bar-and-joint frameworks, to appear in The Fields Institute Conference Proceedings, 2014

    25. Bernd Schulze, Adnan Sljoka and Walter Whiteley, Protein flexibility of dimers: do symmetric motions play a role in allosteric interactions?, AIP Conference Proceedings of AMMCS 2011, Vol. 1368, doi:10.1063/1.3663478, 135-138, 2011


    26. Ph.D. Thesis:

    27. Bernd Schulze, Combinatorial and Geometric Rigidity with Symmetry Constraints, York University, Toronto, ON, Canada, May 2009 ,
      Advisor: Prof. Walter Whiteley, Committee: Prof. Asia Ivic Weiss, Prof. Mike Zabrocki, and Prof. Meera Sitharam
      The thesis was awarded the York University Dissertation Prize 2010.


    Selection of invited talks


    Teaching

    At Lancaster University:

    At TU Berlin:

    At York University:

    At Western Michigan University:


    Together with Bruno Benedetti, I organized the Discrete Geometry Seminar at TU Berlin (and FU Berlin) from fall 2009 to summer 2011.


    Miscellaneous


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    last updated: February 18, 2014