Jonathan Hanke's Website

Research and Software in Number Theory

Number Theory Projects

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[latexpage]Undergraduate Projects

These projects were developed as final projects for the Undergraduate Number Theory course at Duke University, which I taught for four consecutive Spring semesters (2004-2007). ¬†Students were asked to choose a “serious topic in Number Theory” (of which the projects were my suggestions with useful references) to write a final paper of at least 10 pages explaining their topic (i.e. explaining and proving their main theorem) and also to give a one hour final presentation to their peers (fellow undergraduates in the class). This assignment was supported with suggested/scheduled individual weekly meetings with me of 30 minutes to one hour per student to discuss progress and answer questions.

Brief Project Descriptions

Detailed Project Descriptions and References

Graduate Projects

These projects were developed as final projects for the Graduate Number Theory course on Modular Forms at the University of Georgia, which I taught in Spring 2009. ¬†Students were asked to choose a “serious topic in Number Theory” (of which the projects were my suggestions with useful references) to write a final paper of at least 10 pages explaining their topic (i.e. explaining and proving their main theorem) and also to give a one hour final presentation to their peers (fellow graduate students in the class).

  • The Prime Number Theorem
  • The Eichler-Shimura Relations
  • The Rankin-Selberg Method of “Unfolding”
  • The Congruent Number Problem

 

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December 18th, 2011 at 5:31 am

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