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Mathematical Sciences, Worcester Polytechnic Institute
100 Institute Road, Worcester, MA 016092280
Tel: (508) 8315361 Fax: (508) 8315824
Classes: C Term 2020
Education
B.S. Physics, 1981.
B.S. Mathematics, 1981.
M.S. Mathematics, 1985.
M.S. Computer Science, 1988.

Ph.D. Syracuse
University, 1987.

Dissertation: "Graph Groups"

Advisor: Jacques Lewin
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Fields of Interest

Combinatorics

Rigiditiy of Structures

Algebra and Group Theory

Symmetry and Duality
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Books
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Selected Articles by Topic
Structural Rigidity

"Combinatorial Rigidity,"

"Higher order rigidity  What is the proper definition?"

"Path decompositions of rigid graphs",

"Abstract rigidity in nspace",
Symmetry and Duality

"The Symmetry of SelfDual Periodic Tilings",

"Cayley graphs and connectivity",

"Construction and classification of planar Cayley
graphs",

"A note on the rank of selfdual polyhedra",

"Selfdual graphs",

"The 24 symmetry pairings of selfduality maps",

"Selfdual maps on the sphere",
Graph and Network Theory

"The Structure of Locally Finite TwoConnected Graphs",

"Dual Eulerian Graphs I",
Algebra and Group Theory

"Automorphisms of graph groups"

"Surface subgroups of graph groups",

"An Artin Relation of Length $n$ in the Braid Group,"

"Tree groups and the 4string pure braid group,"

"The Tits conjecture and the 5string braid group"

"Permutation representations of the symmetry groups
of regular hyperbolic tessellations,"

"Cayley graphs of Coxeter and Artin groups,"

"The length of elements in free solvable groups,"

"The finite basis extension property and graph groups",

"Groups assembled by free and direct products",
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Student Projects
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Home page last revised: October 97.