Felix Fontein

Welcome! I am currently working as a postdoc at the University of Calgary since beginning of 2009.

Before going to Calgary, I was a PhD student at the Institut für Mathematik of the Universität Zürich. I was working in the Applied Algebra work group, which is lead by Prof. Dr. Joachim Rosenthal. Before this I was studying mathematics and computer science at the University of Oldenburg, Germany.

My research interests are mainly focused on the arithmetic in global fields. I want to increase the understanding of the infrastructure, in particular of baby steps, as well increase the efficiency of computation in the infrastructure and the divisor class group of a global field. Besides this, I am interested in computing fundamental units of global fields, in particular their absolute values, using baby step-giant step strategies. Besides this, I am also interested in applications of this theories to Public Key Cryptography.

Besides these special topics, I am interested in Algebraic and Analytic Number Theory, Arithmetic and Algebraic Geometry and their applications to Cryptography.

Publications

• F. Fontein: Groups from Cyclic Infrastructures and Pohlig-Hellman in Certain Infrastructures. Advances in Mathematics of Communications, 2 (3), p. 293-307, 2008. (Online version of the issue, preprint at arXiv.)
• F. Fontein: The Infrastructure of a Global Field of Arbitrary Unit Rank. 2009. (Preprint at arXiv.)
• F. Fontein: Holes in the Infrastructure of Global Hyperelliptic Function Fields. 2009. (Preprint at arXiv.)
• F. Fontein: Explicit Methods for Radical Function Fields over Finite Fields. 2009. (Preprint at arXiv.)
• F. Fontein, E. Landquist, R. Scheidler: Class Number and Regulator Computation in Purely Cubic Function Fields of Unit Rank Two. 2010. (Preprint at arXiv.)
• F. Fontein, M. J. Jacobson, Jr.: Rigorous Computation of Fundamental Units in Algebraic Number Fields. 2010. (Preprint at arXiv.)

Theses

• F. Fontein: Elliptic Curves over Rings with a Point of View on Cryptography and Factoring. Diplomarbeit, Carl von Ossietzky-Universität Oldenburg, June 2005. (PDF, 2.0 MB)
• F. Fontein: The Infrastructure of a Global Field and Baby Step-Giant Step Algorithms. Dissertation, Universität Zürich, March 2009. (PDF, 1.0 MB) (Zentralbibliothek Zürich)

Links

• My math blog.
• My personal homepage.
• MatheRaum: a community for discussing, asking questions and answering questions related to math.

Contact

You can contact me by snail mail by using the following address:

Felix Fontein

Room 366, Mathematical Sciences Building

Department of Mathematics & Statistics

University of Calgary

2500 University Drive NW

Calgary, Alberta T2N 1N4

Canada

Other ways to contact me are the following:

E-Mail: fwfontei@ucalgary.ca