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Curriculum Vitae
Bernd Schulze
Postdoctoral fellowFields Institute for Research in Mathematical Sciences222 College StreetToronto, ON, M5T 3J1 CanadaTel.: +1 (416) 348-9710 - 4010
Citizenship: GermanDate of birth: September 21, 1977
http://page.mi.fu-berlin.de/bschulze/
Research Interests
• Discrete geometry, rigidity theory, symmetry, triangulations, polytope theory, graph theory,matroids, combinatorics, algebraic methods, representation theory, computational geometry,interdisciplinarity• I am currently particularly interested in the rigidity and flexibility of symmetric geometric
constraint systems as well as in equal-area triangulation problems
Education
Ph.D. Department of Mathematics and Statistics, York University, Toronto,(Mathematics) Ontario, Canada (May 2009)
Thesis title: Combinatorial and Geometric Rigidity with SymmetryConstraintsPh.D. advisor: Prof. Walter WhiteleyAwards: York University Dissertation Prize 2010
M.A. Department of Mathematics, Western Michigan University, Kalamazoo,(Mathematics) Michigan, USA (June 2003)
Concentrations: Graph theory, combinatoricsFinal Grade: 3.9/4 GPA (‘Outstanding’)
Vordiplom Department of Mathematics and Computer Science, Freie Universitat(Mathematics/ Berlin,Computer Science) Berlin, Germany (April 2000)
Final grade: ‘Very Good’
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Bernd Schulze Curriculum Vitae
Academic Positions
07.2011 - 12.2011 Postdoctoral fellow at the Fields Institute for Research in Mathema-tical Sciences, Toronto, ON, Canada• Participation in the Thematic Program on Discrete Geometry and
Applications
06.2009 - 06.2011 Postdoctoral fellow in the Department of Mathematics at Freie Uni-versitat Berlin, Germany• Member of the Discrete Geometry Group (head: Prof. Gunter M.
Ziegler)• Supported by the DFG Research Unit ‘Polyhedral Surfaces’
08.2004 - 05.2009 Research and teaching assistant in the Department of Mathematicsand Statistics at York University, Toronto, ON, Canada
08.2002 - 05.2003 Teaching assistant in the Department of Mathematics at WesternMichigan University, Kalamazoo, MI, USA
Publications
Published or Accepted in Refereed Journals
1. B. Schulze and W. Whiteley, The orbit rigidity matrix of a symmetric framework, Discrete& Computational Geometry, Vol. 46 (2011), No. 3, pages 561-598
2. B. Schulze, On the area discrepancy of triangulations of squares and trapezoids, The Elec-tronic Journal of Combinatorics, Vol. 18 (2011), No. 1, P137, pages 1-16
3. E. Ross, B. Schulze and W. Whiteley, Finite motions from periodic frameworks with addedsymmetry, International Journal of Solids and Structures Vol. 48 (2011), pages 1711-1729
4. B. Schulze, Symmetric Laman theorems for the groups C2 and Cs, The Electronic Journalof Combinatorics Vol. 17 (2010), No. 1, R 154, pages 1-61
5. B. Schulze, Symmetry as a sufficient condition for a finite flex, SIAM Journal on DiscreteMathematics, Vol. 24 (2010), No. 4, pages 1291-1312
6. S. Guest, B. Schulze and W. Whiteley, When is a symmetric body-bar structure isostatic?,International Journal of Solids and Structures, Vol. 47 (2010), pages 2745-2754
7. B. Schulze, Symmetric versions of Laman’s Theorem, Discrete & Computational Geometry,Vol. 44 (2010), No. 4, pages 946-972
8. B. Schulze, Block-diagonalized rigidity matrices of symmetric frameworks and applications,Contributions to Algebra and Geometry, Vol. 51 (2010), No. 2, pages 427-466
9. B. Schulze, Injective and non-injective realizations with symmetry, Contributions to DiscreteMathematics, Vol. 5 (2010), No. 1, pages 59-89
10. R. Connelly, P.W. Fowler, S. Guest, B. Schulze and W. Whiteley, When is a symmetric pin-jointed framework isostatic?, International Journal of Solids and Structures, Vol. 46 (2009),pages 762-773
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Bernd Schulze Curriculum Vitae
Publications (Cont.)
Submitted to Refereed Journals
1. B. Schulze and W. Whiteley, Coning, symmetry, and spherical frameworks, submitted(2011), 38 pages (arXiv:1108.2174)
2. B. Schulze, Flexible skeleta of second-hypersimplices in dimension d ≥ 5, submitted (2011),19 pages
3. B. Schulze, A. Sljoka and W. Whiteley, Protein flexibility of dimers: do symmetric motionsplay a role in allosteric interactions?, submitted (2011), 4 pages
In Preparation
1. B. Schulze, Area-preserving motions of triangulations of the unit square, 2011
2. B. Schulze, A. Sljoka, and W. Whiteley, Counts for predicting symmetric motions in frame-works with applications to protein flexibility, 2011
3. B. Schulze, O. Shai, and W. Whiteley, Replicating finite Assur graphs at singular positionsfor deriving symmetric mechanisms, 2011
Awards and Fellowships
• York University Dissertation Prize 2010, Toronto, ON, Canada
• Postdoctoral Fellowship, Fields Institute for Research in Mathematical Sciences, 07.2011 -12.2011
• Postdoctoral Fellowship, Technische Universitat Berlin, 06.2009 - 06.2011 (Freie UniversitatBerlin since 03.2011)
- Host: Prof. Gunter M. Ziegler
- Supported by the DFG Research Unit ‘Polyhedral Surfaces’
• Graduate Research/Teaching Assistantship, York University, Toronto, ON, Canada, 08.2004- 05.2009
• Teaching Assistantship, Western Michigan University, Kalamazoo, MI, USA, 08.2002 - 05.2003
• Freie Universitat Berlin Exchange Student Scholarship (with Western Michigan University),Kalamazoo, MI, USA, 08.2001 - 05.2002
Selected Presentations
• Counts for predicting symmetric motions in frameworks with applications to protein flexibility,Workshop on Rigidity and Symmetry, Fields Institute for Research in MathematicalSciences, Toronto, ON, Canada, 10.2011
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Bernd Schulze Curriculum Vitae
Selected Presentations (Cont.)
• Protein flexibility of dimers: do symmetric motions play a role in allosteric interactions?,Applied Mathematics, Modeling and Computational Science Conference (AMMCS) 2011,Wilfried Laurier University, Waterloo, ON, Canada, 07.2011
• Finite motions from periodic frameworks with added symmetry, Workshop on Topological andGeometric Combinatorics, Mathematisches Forschungsinstitut Oberwolfach, Ober-wolfach, Germany, 02.2011
• Detecting mechanisms in symmetric structures via orbit counts, London Mathematical SocietyWorkshop: Rigidity of Frameworks and Applications, Lancaster University, Lancaster,England, 06.2010
• The orbit rigidity matrix of a symmetric framework, Rigidity Day, York University, To-ronto, ON, Canada, 03.2010
• The orbit rigidity matrix of a symmetric framework, Research Training Group: Methods forDiscrete Structures, Freie Universitat Berlin, Berlin, Germany, 02.2010
• Symmetric versions of Laman’s Theorem, Workshop on Rigidity and Volume Inequalities,Eotvos Lorand University, Budapest, Hungary, 07.2009
• Characterizations of symmetric generically isostatic graphs, Discrete Geometry Seminar,Technische Universitat Berlin, Berlin, Germany, 06.2009
• Symmetry as a sufficient condition for a finite flex, American Mathematical Society Speci-al Session on Discrete Geometry and Combinatorics, Worcester Polytechnic Institute,Worcester, MA, USA, 04.2009
• Symmetric versions of Laman’s Theorem, Discrete Geometry and Combinatorics Seminar,Cornell University, Ithaca, NY, USA, 03.2009
• Symmetry as a sufficient condition for a finite flex, Workshop on Discrete Differential Geome-try, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany, 01.2009
• Symmetry as a sufficient condition for a finite flex, Discrete Geometry Meeting, FieldsInstitute for Research in Mathematical Sciences, Toronto, ON, Canada, 11.2008
• Rigidity of frameworks with symmetry constraints, Workshop on Recent Progress in RigidityTheory, Banff International Research Station, Banff, AB, Canada, 07.2008
• Rigidity of symmetric frameworks, Workshop on Rigidity and Polyhedral Combinatorics,American Institute of Mathematics, Palo Alto, CA, USA, 12.2007
• A proof of Alexandrov’s Theorem using static rigidity, Geometry Seminar, York University,Toronto, ON, Canada, 12.2005
• Infinite families of nontrivial trivalent graphs which are not Tait colorable, Graph TheorySeminar, Western Michigan University, Kalamazoo, MI, USA, 03.2003
• Colorings and orientations of graphs, Seminar in Graph Theory, Freie Universitat Berlin,Germany, 11.2000
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Bernd Schulze Curriculum Vitae
Other Workshops and Conferences Attended
• 23rd Canadian Conference on Computational Geometry (CCCG) 2011, University of Toronto,Toronto, ON, Canada, 08.2011
• 27th Symposium on Computational Geometry, Paris, France, 07.2011
• The Mathematics of Klee and Grunbaum: 100 Years in Seattle, University of Washington,Seattle, WA, USA, 07.2010
• Workshop on Rigidity, Flexibility, and Motion, Banff International Research Station, Banff,AB, Canada, 07.2008
• Research visit (Prof. R. Connelly), Cornell University, Ithaca, NY, USA, 04.2007
• Workshop on Rigidity, Flexibility and Motion in Biomolecules, Arizona State University,Tempe, AZ, USA, 05.2006
• Workshop on Rigidity and Flexibility, Erwin Schrodinger Institute for Mathematical Physics,Vienna, Austria, 04.2006
• AARMS summer school, Dalhousie University, Halifax, NS, Canada, 07 - 08.2005
• CMS/CSHPM Summer 2005 Meeting, University of Waterloo, Waterloo, ON, Canada, 06.2005
Teaching Experience
At Technische Universitat Berlin
• Co-Instructor for ‘Discrete Geometry II ’ (with Gunter M. Ziegler), Winter 2011
• Co-Instructor for ‘Lineare Algebra II ’ (with Gunter M. Ziegler), Summer 2010
At York University
• Instructor for MATH 2320 (‘Discrete Mathematical Structures’), Winter 2008
• Tutorial Leader for MATH 3050 (‘Introduction to Geometries’), Fall 2008 - Winter 2009
• Math Lab Coordinator (Responsible for the administration of York University’s mathhelp center (Math Lab), and management of 20 tutors), Fall 2006 - Winter 2008
• Tutorial Leader for MATH 3050 (‘Introduction to Geometries’), Fall 2006 - Winter 2007
• Teaching Assistant for the courses ‘Introduction to Calculus’, ‘Applied Calculus’, ‘AppliedLinear Algebra’, ‘Mathematics of Life and Social Sciences’, Fall 2004 - Winter 2008
• Math Lab Tutor, Fall 2004 - Winter 2006
At Western Michigan University
• Tutorial Leader for MATH 1160 (‘Finite Mathematics and Applications’), Fall 2002 - Win-ter 2003
• Instructor for GERMAN 100, Fall 2001
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Bernd Schulze Curriculum Vitae
Professional Service
• Referee for Journal of Mathematical Modelling and Algorithms, International Journal ofSolids and Structures and Information Processing Letters
• Organizer of the ‘Discrete Geometry Seminar’ at TU Berlin / FU Berlin, Fall 2009 - Summer2011
Personal Skills and Other Activities
• Diplom (in minor subject), Computer Science, Freie Universitat Berlin, 07.2004
- Concentrations: Design and analysis of algorithms, software engineering
- Final grade: ‘Very Good’
• Computer skills: LATEX, Maple, Matlab, Java, Haskell
• Languages: German (mother tongue), English (fluent), Spanish, French (basic reading know-ledge)
References
• Prof. Walter Whiteley (Ph.D. advisor), York [email protected]
• Prof. Gunter M. Ziegler, Freie Universitat [email protected]
• Prof. Simon Guest, University of [email protected]
• Prof. Robert Connelly, Cornell [email protected]
• Prof. Brigitte Servatius, Worcester Polytechnic [email protected]
• Prof. Meera Sitharam, University of [email protected]
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