Biography

Education

  • Ph D in Mathematics, University of Texas at Austin
  • BA in Mathematics, Williams College

Since August 2015, I have been an Assistant Professor of Mathematics at Christopher Newport University. I finished my Ph.D. in August 2007 under the supervision of Dr. Jeffrey D. Vaaler at the University of Texas at Austin and worked as a lecturer in the same department the following academic year. I spent one year as a postdoctoral fellow at the Max-Planck-Institut für Mathematik in Bonn, Germany followed by two years simultaneously at the University of British Columbia and Simon Fraser University in Vancouver, British Columbia. From 2011 to 2015 I was an Assistant and Associate Professor of Mathematics at Oklahoma City University.

Teaching

My teaching interests range from introductory level mathematics courses such at Precalculus and Calculus up through many 300 and 400 level courses for majors. I am particularly well suited to teaching Algebraic Structures, Real Analysis, Complex Analysis and Number Theory.

Research

My research focus lies in number theory. While I am interested in various problems, the primary part of my work is concerned with the study of the various height functions on the multiplicative group of non-zero algebraic numbers.

Selected Accomplishments

  • Journal Article, Academic Journal
    (2021). A Polynomial Time Test to Detect Numbers with Many Exceptional Points. International Journal of Number Theory. Volume, 17. Issue, 4. Pages, 973-900.
  • Journal Article, Academic Journal
    (2020). Direct Limits of Adele Rings and Their Completions. Rocky Mountain Journal of Mathematics. Volume, 50. Issue, 3. Pages, 1021-1043.
  • Journal Article, Academic Journal
    (2018). Metric Mahler Measures over Number Fields. Acta Mathematica Hungarica. Volume, 154. Issue, 1. Pages, 12.
  • Journal Article, Academic Journal
    (2017). Counting Exceptional Points for Rational Numbers Associated to the Fibonacci Sequence. Periodica Mathematica Hungarica. Pages, 23.
  • Journal Article, Academic Journal
    (2016). Continued Fraction Expansions in Connection with the Metric Mahler Measure. Monatshefte fuer Mathematik. Volume, 181. Issue, 4. Pages, 907-935.
  • Journal Article, Academic Journal
    (2014). Optimal Factorization of Rational Numbers Using Factorization Trees. International Journal of Number Theory. Volume, 11. Issue, 3. Pages, 739-769.
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