Bernd Schulze Postdoctoral Fellow TU Berlin Institut für Mathematik, MA 6-2 Strasse des 17. Juni 136, 10623 Tel: 0049-30 - 314 22256 Citizenship: German bschulze@math.tu-berlin.de http://www.math.tu-berlin.de/~bschulze Research Interests Discrete geometry, Graph theory, Combinatorics, Algebraic methods I am currently particularly interested in the rigidity and flexibility of symmetric framework systems as well as equal area triangulation problems. Education Ph.D. in Mathematics 2004-2009 Dissertation title: Combinatorial and Geometric Rigidity with Symmetry Constraints Dissertation advisor: Prof. Walter Whiteley Date of thesis defense: May 4, 2009 M.A. in Mathematics Western Michigan University 2001-2003 Concentrations: Graph Theory, Combinatorics Vordiplom in Mathematics and Computer Science Freie Universität Berlin 1998-2000 Academic Positions Postdoctoral Fellow Technische Universität Berlin 2009-2011 Member of the Discrete Geometry Group headed by Prof. Günter M. Ziegler Member of the DFG Research Unit Polyhedral Surfaces Research and Teaching Assistant 2004-2009 Teaching Assistant Western Michigan University 2002-2003 Publications Published or Accepted in Refereed Journals (1) Symmetric Laman theorems for the groups C 2 and C s To appear in The Electronic Journal of Combinatorics (62 pages) 2010 (2) Symmetry as a sufficient condition for a finite flex SIAM Journal on Discrete Mathematics, Vol. 24 (2010), No. 4, pages 1291-1312 2010
Bernd Schulze 2 (3) (4) (5) (6) (7) When is a symmetric body-bar structure isostatic? with S. Guest and W. Whiteley International Journal of Solids and Structures, Vol. 47 (2010), pages 2745-2754 2010 Symmetric versions of Laman s Theorem Discrete & Computational Geometry, Vol. 44 (2010), Issue 4, pages 946-972 2010 Block-diagonalized rigidity matrices of symmetric frameworks and applications Contributions to Algebra and Geometry, Vol. 51 (2010), No. 2, pages 427-466 2010 Injective and non-injective realizations with symmetry Contributions to Discrete Mathematics, Vol. 5 (2010), No. 1, pages 59-89 2010 When is a symmetric pin-jointed framework isostatic? with R. Connelly, P.W. Fowler, S.D. Guest, and W.J. Whiteley International Journal of Solids and Structures, Vol. 46 (2009), pages 762-773 2009 Submitted to Refereed Journals (8) (9) (10) On the area discrepancy of triangulations of squares and trapezoids Submitted (16 pages) 2010 Finite motions from periodic frameworks with added symmetry with E. Ross and W. Whiteley Submitted (43 pages), arxiv:1010.5440 2010 The orbit rigidity matrix of a symmetric framework with W. Whiteley Submitted (41 pages), arxiv:1006.0788 2010 In Preparation (11) (12) (13) Coning, symmetry, and spherical frameworks with W. Whiteley 2010 Rigidity of frameworks on cones with W. Whiteley 2010 Symmetry, flatness, and necessary conditions for independence with A. Watson and W. Whiteley 2010 Awards and Fellowships Dissertation Prize 2010 2010 see www.yorku.ca/grads/policies/thesisdissertationprizeguidelines.htm or my website for further information on the prize Postdoctoral Fellowship Technische Universität Berlin 2009-2011 Host: Prof. Günter M. Ziegler Supported by the DFG Research Unit Polyhedral Surfaces Graduate Research/Teaching Assistantship 2004-2009 Teaching Assistantship Western Michigan University 2002-2003 Freie Universität Berlin Exchange Student Scholarship with Western Michigan University 2001-2002
Bernd Schulze 3 Selected Talks Workshop on Topological and Geometric Combinatorics (Mathematisches Forschungsinstitut Oberwolfach (MFO)) Oberwolfach, Germany Title to be determined Feb. 6-12, 2011 London Mathematical Society Workshop: Rigidity of Frameworks and Applications (Lancaster University) Lancaster, UK Detecting mechanisms in symmetric structures via orbit counts July 12-15, 2010 Rigidity Day () The orbit rigidity matrix of a symmetric framework March 25, 2010 Graduiertenkolleg: Methods for Discrete Structures (Freie Universität Berlin) The orbit rigidity matrix of a symmetric framework Feb. 8, 2010 Workshop on Rigidity and Volume Inequalities (ELTE) Budapest, Hungary Symmetric versions of Laman s Theorem July 20-24, 2009 Discrete Geometry Seminar (Technische Universität Berlin) Characterizations of symmetric generically isostatic graphs June 4, 2009 AMS Special Session on Discrete Geometry and Combinatorics (Worcester Polytechnic Institute (WPI)) Worcester, MA, USA Symmetry as a sufficient condition for a finite flex April 25-26, 2009 Discrete Geometry and Combinatorics Seminar (Cornell University) Ithaca, NY, USA Symmetric versions of Laman s Theorem March 9, 2009 Workshop on Discrete Differential Geometry (Mathematisches Forschungsinstitut Oberwolfach (MFO)) Oberwolfach, Germany Symmetry as a sufficient condition for a finite flex Jan. 12-16, 2009 Discrete Geometry Meeting (Fields Institute) Symmetry as a sufficient condition for a finite flex Nov. 29, 2008 Workshop on Recent Progress in Rigidity Theory (Banff International Research Station (BIRS)) Banff, AB, Canada Rigidity of frameworks with symmetry constraints July 12-13, 2008 Workshop on Rigidity and Polyhedral Combinatorics (American Institute of Mathematics (AIM)) Palo Alto, CA, USA Rigidity of symmetric frameworks Dec. 3-7, 2007 Geometry Seminar () Symmetrized versions of Laman s Theorem (II): Crapo s Tree Covering Theorem Nov. 15, 2007 Geometry Seminar () Symmetrized versions of Laman s Theorem (I) Nov. 7, 2007 Geometry Seminar () A symmetry-adapted version of Maxwell s rule for rigidity of frameworks Nov. 22, 2006 Geometry Seminar () A proof of Alexandrov s Theorem using static rigidity Dec. 6, 2005 Seminar in Graph Theory (Western Michigan University) Infinite families of nontrivial trivalent graphs which are not Tait colorable March 25, 2003 Seminar in Graph Theory (Freie Universität Berlin) Colorings and orientations of graphs Nov. 8, 2000
Bernd Schulze 4 Other Workshops and Conferences Attended Workshop on the Mathematics of Klee and Grünbaum Seattle, WA, USA University of Washington July 28-30, 2010 Research visit (Prof. W. Whiteley) Oct. 5-18, 2009 Workshop on Rigidity, Flexibility, and Motion Banff, AB, Canada Banff International Research Station (BIRS) July 7-11, 2008 Research visit (Prof. R. Connelly) Ithaca, NY, USA Cornell University April 2007 Workshop on Rigidity, Flexibility and Motion in Biomolecules Tempe, AZ, USA Arizona State University May 14-18, 2006 Workshop on Rigidity and Flexibility Vienna, Austria Erwin Schrödinger Institute for Mathematical Physics Apr. 24 - May 6, 2006 AARMS summer school Halifax, NS, Canada Dalhousie University July 18 - Aug. 12, 2005 Courses: Integral and Convex Geometry and Convex Analysis CMS/CSHPM Summer 2005 Meeting Waterloo, ON, Canada University of Waterloo June 4-6, 2005 Teaching Experience At Technische Universität Berlin: Co-Instructor for Discrete Geometry II (with Günter M. Ziegler) Winter 2010 Co-Instructor for Lineare Algebra II (with Günter M. Ziegler) Summer 2010 At : Instructor for MATH 2320 (Discrete Mathematical Structures) Winter 2008 Tutorials for MATH 3050 (Introduction to Geometries) Fall 2008 - Winter 2009 Math Lab Coordinator (the Math Lab is a drop-in help room for undergraduate students servicing a number of mathematics and statistics courses) Fall 2006 - Winter 2008 Tutorials for MATH 3050 (Introduction to Geometries) Fall 2006 - Winter 2007 Teaching Assistant (courses include: Introduction to Calculus, Applied Calculus, Applied Linear Algebra, Mathematics of Life and Social Sciences) Fall 2004 - Winter 2008 Math Lab Tutor Fall 2004 - Winter 2006 At Western Michigan University: Tutorials for MATH 1160 (Finite Mathematics and Applications) Fall 2002 - Winter 2003 Instructor for GERMAN 100 Fall 2001 Professional Service Referee for the International Journal of Solids and Structures Referee for Information Processing Letters Organizer of Günter M. Ziegler s Discrete Geometry Seminar at TU Berlin Fall 2009 - Winter 2011
Bernd Schulze 5 Personal Skills and Other Activities Diplom (in minor subject), Computer Science, Freie Universität Berlin 2004 Member of the Tennis Team 2005-2008 (2 Ontario University Athletics (OUA) Championships in 2005 and 2007) Computer skills: L A TEX, Maple, Matlab, Java, Haskell Languages: German (mother tongue), English (fluent), Spanish, French (basic knowledge) Other interests include: Tennis, Reading, Chess, Outdoor activities References Prof. Walter Whiteley (advisor) whiteley@mathstat.yorku.ca Prof. Asia Ivić Weiss (co-advisor) weiss@mathstat.yorku.ca Prof. Mike Zabrocki (co-advisor) zabrocki@mathstat.yorku.ca Prof. Günter M. Ziegler ziegler@math.tu-berlin.de Technische Universität Berlin Prof. Robert Connelly connelly@math.cornell.edu Cornell University Prof. Simon Guest sdg@eng.cam.ac.uk Cambridge University Prof. Brigitte Servatius bservat@math.wpi.edu Worcester Polytechnic Institute Prof. Meera Sitharam sitharam@cise.ufl.edu University of Florida Prof. Stan Kochman (teaching reference) kochman@mathstat.yorku.ca