** Mathematics Department, Worcester Polytechnic Institute
100 Institute Road, Worcester, MA 01609-2280
Tel: (508) 831-5361
Fax: (508) 831-5824**

Univerity of Puerto Rico, Talk 2022

- Editorial Work
- Fields of Interest
- Books
- Selected Articles by Topic
- Meetings
- Student Activities
- Student Projects
- Education

- Combinatorics
- Rigiditiy of Structures
- Geometric Foundations of Computer Aided Design
- Symmetry and Duality
- The History and Philosophy of Mathematics

- "Combinatorial Rigidity," Graudate Studies in Math., AMS Press, 1993.
- "The Bracing of Grids," The GEOMAP Project, COMAP, 1995.
- "Matroid Theory," Contemporary Math., AMS, 1996.
- "Planar Rigidity," PhD Disseration, Syracuse University, 1987.

- "Combinatorial Rigidity,"
- "The Bracing of Grids,"
- "Birigidity in the plane,"
- "On the two dimensional generic rigidity matroid and its dual",
- "Path decompositions of rigid graphs",
- "Combinatorics and the rigidity of frameworks",
- "Abstract and generic rigidity in the plane",
- "Abstract rigidity in n-space",
- "Graphs, digraphs, and the rigidity of grids"
- "On the Rigidity of Ramanujan Graphs",
- "Planar Minimally Rigid Graphs and Pseudo-triangulations",
- "Non-crossing frameworks with non-crossing reciprocals",
- "Combinatorial Pseudo-Triangulations",
- "The 2-dimensional rigidity of certain families of graphs",
- "Applying Burnside's lemma to a one-dimensional Escher problem",
- "The Symmetry of Folding Paper Dolls",
- "Cayley graphs and connectivity",
- "Construction and classification of planar Cayley graphs",
- "A note on the rank of self-dual polyhedra",
- "Self-dual graphs",
- "The 24 symmetry pairings of self--duality maps",
- "Self--dual maps on the sphere",
- "Symmetry, automorphisms, and self-duality of infinite planar graphs and tilings ",
- "The Structure of Locally Finite Two-Connected Graphs",
- "Analyzing the reliability of degradable networks",
- "2-satisfiability and the diagnosis of faulty processors in massively parallel computing systems",
- "A note on Gaussian graphs",
- "Dual Eulerian Graphs,",
- "A polynomial time algorithm for determining zero euler-petrie genus of an eulerian graph,",
- "Constraining plane configurations in CAD: The combinatorics of direction length designs",
- "The Geometry of Frameworks: Rigidity, Mechanisms and CAD",

- Pi Mu Epsilon
- Putnam Exam
- Math Awareness Week
- Math Hour
- Mathematical Treasure Hunt
- Bulletin Board Competition

- AMS Western Section Meeting, Portland, OR. 2002
- Fifth Yugoslavian International Conference On Graph Theory, Bled, 2003.
- Modeling Protein Flexibility and Motions, Banff International Research Station, 2004.
- Technische Universität Graz, 2005.
- 15th Fall Workshop on Computational and Combinatorial Geometry (fwccg) Mount Holyoke College, 2005.
- MAA Eastern Section, Montgomery College, 2005.
- ESI-Program on Rigidity and Flexibility, 2006.
- 16th Fall Workshop on Computational and Combinatorial Geometry (fwccg) Smith College, 2006.
- Southeast International Conference on Combinatorics, Graph Theory and Computing, Florida, 2007.
- Institute for Mathematics and its Applications, Minneapolis, 2008.
- Cool Math Talk, WPI, 2008.
- Oregon State University Colloquium, 2008.
- Pi Mu Epsilon Address, Fitchburg, 2008.
- Fall Workshop on Computational Geometry, RPI, 2008.
- AMS Sectional MeetingWPI, 2009.
- Fall Workshop on Computational Geometry, Tufts, 2009.
- Rigidity of Frameworks and Applications, Lancaster UK, 2010
- Mathfest Special Session, Visualizing Combinatorics Through Tilings, Pittburgh, 2010.
- AMS Special Session on Graphs Embedded in Surfaces, and Their Symmetries, Syracuse NY, 2010
- 7th Yugoslavian International Conference on Graph Theory, Bled, 2011.
- Discrete Math Day, Vermont, 2011.
- AWM 40th Anniversary, ICERM,Brown, 2011.
- Workshop on Rigidity and Symmetry, Fields Institute, 2011.
- AMS Special Session on Discrete Geometry in Crystallography, USF, Tampa, 2012.
- Workshop on Rigidity Theory, Banff, 2012.
- Pi Mu Epsilon Induction, Westfield State, 2013.
- Summer Combo in Vermont, 2013.
- AMS Special Session on Discrete Geometry in Crystallography, University of Maryland, 2014.
- Workshop on Configuration Spaces of Linkages, AIM, 2014.
- Workshop on Advances in Combinatorial and Geometric Rigidity, Banff, 2015.
- Séminaire de Géométrie Algorithmique et Combinatoire, l'École polytechnique, Paris, 2017.
- Discrete Math Day, Dartmouth, 2017
- SIAM Session on Matroid Theory, Denver, 2018
- Bob Connelly 75th Birthday Conference, Stability of Structures, Large and Small, Cornell, 2017.
- Bond-node structures: rigidity, combinatorics and materials science, Lancaster University, UK, 2017.
- A Gathering of Worcester Mathematicians, Joyce Contemplative Center, 2018.
- Pi Mu Epsilon Golden Galla, St. Peters University, 2018.
- IMA Workshop for Women in Mathematical Biology, Minnesota, 2018.
- Workshop on Rigidity and Flexibility of Geometric Structures, Erwin Schoedinger Institute, Vienna, 2019.
- Denksport, WPI 2018.
- Discrete Mathematics Research Group, Monash University, 2018.
- 50'th Southeast International Conference on Combinatorics, Graph Theory and Computing, FAU, 2019.
- Worskshop on Soft Packings, Nested Clusters, and Condensed Matter, The Casa Matemática Oaxaca (CMO), 2019.
- AIM Workshop on Rigidity and flexibility of microstructures, 2019.
- 51'st Southeast International Conference on Combinatorics, Graph Theory and Computing, FAU, 2020.
- ICERM Workshop on Circle Packings and Geometric Rigidity, Brown University, 2010.

PhD. Syracuse University, 1987. Jack Graver, advisor.

- Mathematics Master Thesis:
- \"{U}berlagerungen von Graphen (Coverings of Graphs)
- Physics Masters Thesis:
- Das Wasserstoffatom und seine Strahlung (The Hydrogen Atom and its Radiation)
- PhD Dissertation:
- "Planar Rigidity,"