(Animation: Cusp Engine) Image Description

Herman Servatius

Carlson Hall 101
Department of Mathematics and Computer Science
Clark University
Worcester, MA 01610-1477
hservatius

Spring 2008 Courses

  1. Calculus I

Some animations

  1. Docking Puzzle Hint 1
  2. Docking Puzzle Hint II
  3. plane zeolite motion

y = xsin(log(|x|)), or, why you need to look for ALL epsilon > 0.
y = xsin(log(|x|)) and the pinching theorem
zoom hypnosis - now what IS that?
It is not pinched by +x and -x, but those red and blue squares are telling use something about epsilons and deltas, right?

Contents

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
(back to contents).   

Fields of Interest

(back to contents).   

Books

Graphic: 3D Museum Image Description
(back to contents).   

Selected Articles by Topic

* Structural Rigidity

  1. "Combinatorial Rigidity,"
  2. "Higher order rigidity - What is the proper definition?"
  3. "Path Decompositions of Rigid Graphs",
  4. "Abstract Rigidity in n-Space",
  5. "Generic and Abstract Rigidity",
  6. "Planar Minimally Rigid Graphs and Pseudo-triangulations",
  7. "Non-crossing frameworks with non-crossing reciprocals",
  8. "Combinatorial Pseudo-Triangulations",

* Symmetry and Duality

  1. "Symmetry, automorphisms, and self-duality of infinite planar graphs and tilings",
  2. "Cayley graphs and connectivity",
  3. "Connectivity and planarity of Cayley graphs",
  4. "A note on the rank of self-dual polyhedra",
  5. "Self-dual graphs",
  6. "The 24 symmetry pairings of self--duality maps",
  7. "Self--dual maps on the sphere",

* Graph and Network Theory

  1. "The Structure of Locally Finite Two-Connected Graphs",
  2. "A note on Gaussian graphs",
  3. "Dual Eulerian Graphs,",
  4. "A polynomial time algorithm for determining zero euler-petrie genus of an eulerian graph,",

* Algebra and Group Theory

  1. "Automorphisms of graph groups"
  2. "The finite basis extension property and graph groups",
  3. "Groups assembled by free and direct products",
  4. "Surface subgroups of graph groups",
  5. "Tree groups and the 4-string pure braid group,"
  6. "The Tits conjecture and the 5-string braid group"
  7. "An Artin Relation of Length $n$ in the Braid Group,"
  8. "Permutation representations of the symmetry groupsof regular hyperbolic tessellations,"
  9. "Cayley graphs of Coxeter and Artin groups,"
  10. "The length of elements in free solvable groups,"
(back to contents)

* Patents

  1. Contour measuring device and method - USPN 6,550,151
  2. Autonomous vehicle navigation system and method - USPN: 6,454,036
(back to contents)

Home page last revised: October 2002.