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Research Statement
Polytopes
Multivariate Visualization
Selected Papers

My "Research Statement" provides a quick overview of some of my past research as well as my current research interests. The categories "Polytopes" and "Multivariate Visualization" below describe in greater detail the two main directions of my current research.


Research Statement

Polytopes

Introduction to Polytopes
CR/Gale Search

Multivariate Visualization

Presentation 1:
What is "Data Visualization"? - an Introduction to TempleMVV
Presentation 2:
Some Basic Algebra - Representing Families of Polynomials
Presentation 3a:
Hyperplanes: What is "flat" in 4-space?
Presentation 3b:
Translations and Skewness

Presentation 3c:
Some Orthogonal Families

Presentation 4:
Proximity in Higher Dimensions - Cluster Analysis

Selected Papers

Affine Orientations of Polytopes With Few Vertices

Magic Squares and Antimagic Graphs

Vertex Magic Unions of Stars