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Mathematical Sciences, Worcester Polytechnic Institute
100 Institute Road, Worcester, MA 01609-2280
Tel: (508) 831-5361 Fax: (508) 831-5824
Classes: C Term 2020
Education
B.S. Physics, 1981.
B.S. Mathematics, 1981.
M.S. Mathematics, 1985.
M.S. Computer Science, 1988.
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Ph.D. Syracuse
University, 1987.
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Dissertation: "Graph Groups"
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Advisor: Jacques Lewin
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Fields of Interest
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Combinatorics
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Rigiditiy of Structures
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Algebra and Group Theory
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Symmetry and Duality
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Books
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Selected Articles by Topic
Structural Rigidity
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"Combinatorial Rigidity,"
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"Higher order rigidity - What is the proper definition?"
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"Path decompositions of rigid graphs",
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"Abstract rigidity in n-space",
Symmetry and Duality
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"The Symmetry of Self-Dual Periodic Tilings",
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"Cayley graphs and connectivity",
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"Construction and classification of planar Cayley
graphs",
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"A note on the rank of self-dual polyhedra",
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"Self-dual graphs",
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"The 24 symmetry pairings of self--duality maps",
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"Self--dual maps on the sphere",
Graph and Network Theory
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"The Structure of Locally Finite Two-Connected Graphs",
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"Dual Eulerian Graphs I",
Algebra and Group Theory
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"Automorphisms of graph groups"
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"Surface subgroups of graph groups",
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"An Artin Relation of Length $n$ in the Braid Group,"
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"Tree groups and the 4-string pure braid group,"
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"The Tits conjecture and the 5-string braid group"
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"Permutation representations of the symmetry groups
of regular hyperbolic tessellations,"
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"Cayley graphs of Coxeter and Artin groups,"
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"The length of elements in free solvable groups,"
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"The finite basis extension property and graph groups",
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"Groups assembled by free and direct products",
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Student Projects
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Home page last revised: October 97.