Topics

My research is primarily in algebraic number theory and related fields.  A common theme in my work is to render theoretical topics more concrete by explicitly working out detailed examples. With coauthor John Jones, I have built extensive tables of number fields and p-adic fields. In higher degrees, where complete tables are out of reach, I have found and studied various extreme number fields. In parallel to my number field studies, I have studied polynomials which are extreme or special in some way. Some early papers study general issues in Galois theory which have arisen in these number-theoretic studies. More recent topics include modular forms, motives, and Hurwitz covers, with connections with number fields being a recurring theme. I also have an interest in game theory.

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Papers

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Presentations

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