• Pat Aronson, Ph.D.
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• Casey Clabough, Ph.D.
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• Danny Cline, Ph.D.
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• Nancy Cowden, Ph.D.
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• David Freier, Ph.D.
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• Sharon Robinson, Ph.D.
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• J. Eric Goff, Ph.D.
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• Edward Polloway, Ed.D.
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• Priscilla Gannicott, Ph.D.
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• Cheryl Jorgensen-Earp, Ph.D.
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• Allison Jablonski, Ph.D.
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• Woody McKenzie, Ph.D.
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• Charlotte Guynes, Ph.D.
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• Gabriel Santos, Ph.D.
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• John Styrsky, Ph.D.
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• Bianca Sumutka, Ph.D.
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• Jeri Watts, Ed.D.

Danny Cline, Ph.D.

My area of research is computational number theory, particularly the study of invariants over cubic fields. My other interests include mathematical logic, games, and the philosophy of mathematics. My research with students is mainly dependent on their interests. Recent projects include:

• A study of mathematical physics in the internal combustion engine. This study included an examination of the mathematics of how car engines work.
• The properties of sudoku and shidoku completed games, both in themselves and as matrices under standard matrix operations. In particular, a study of the properties of two of these games under matrix addition was examined, along with the beginnings of a study of their properties under matrix multiplication.
• The design of a mathematics summer camp for late middle-school to early high school students. This project consisted of a study of the way mathematics is taught in secondary education. Also designed were several long-term projects for the students.
• A study of the Collatz problem. This study takes the reverse approach of treating the Collatz problem as a tree with a single root, and looking at the behavior of the tree as it branches out.