Pieter Rozenhart

INRIA Bordeaux Sud-Ouest

Institut de Mathématiques de Bordeaux
Université Bordeaux 1
351 Cours de la Libération
33405 Talence cedex
France
Telephone: +33 (0)5 40 00 21 49
email: rozenhar AT math.u-bordeaux1.fr

I am Post-Doctoral Fellow at INRIA Bordeaux (France), with the LFANT team, and will be an instructor at Bates College for the Winter 2011 semester. I am on the job market and seeking academic employment that begins in September 2011 (or sooner). You may find some of my job application materials, such as a CV, research statement, and teaching statement below.

Research Interests

Key Words: Number Theory, Algebraic Number Theory, Computational Number Theory, Cryptography, Arithmetic Geometry

I am interested all aspects of number theory, with a focus on computational aspects of number fields and function fields. I am particularly interested in field tabulation and efficient computation of invariants associated with number fields and function fields. In my doctoral dissertation, I developed a method for quickly tabulating cubic function fields by generalizing the previous work of Belabas on cubic number fields. Details can be found in my thesis.

What's New

Slides from my recent talk in the LFANT seminar are available to download below. (12/02/10)
I will be working at Bates College during the Winter 2011 semester. (11/17/10)
My preprint titled "Tabulation of Cubic Function Fields Via Polynomial Binary Cubic Forms", based on some of my thesis work that concerning cubic function field tabulation, has been submitted and is now available below under "Preprints and Publications", and on arXiv via arXiv:1004.4785. (04/28/10)

Preprints and Publications

P. Rozenhart, M. Jacobson Jr. and R. Scheidler, Tabulation of Cubic Function Fields Via Polynomial Binary Cubic Forms, submitted. [PDF | arXiv:1004.4785].
P. Rozenhart, M. Jacobson Jr. and R. Scheidler, Computing quadratic function fields with high 3-rank via cubic field tabulation, preprint. [PDF | arXiv:1003.1287].
E. Landquist, P. Rozenhart, R. Scheidler, J. Webster and Q. Wu, An explicit treatment of cubic function fields with applications, Canadian Journal of Mathematics 62 (2010), no. 4, 787-807. Paper is in PDF format, and is also available here.
P. Rozenhart and R. Scheidler, Tabulation of cubic function fields with imaginary and unusual Hessian, Proceedings of the Eighth Algorithmic Number Theory Symposium (ANTS VIII), Lecture Notes in Computer Science 5011, 357-370, 2008. Paper is in PDF format.
P. Rozenhart, Fast Tabulation of Cubic Function Fields, PhD Thesis, University of Calgary, 2009. Thesis is in PDF format.

Presentation Slides

The slides from my November 19th presentation in the LFANT seminar can be downloaded here.
The slides from my October 25th presentation at Bates College can be downloaded here.
The slides from my July 12th presentation at CNTA XI can be downloaded here.
The slides from my November 27th presentation at the University of Calgary Department of Computer Science's theory seminar on my thesis research can be downloaded here.
The slides from my presentation at the 6th Canadian Young Researchers Conference in Mathematics and Statistics can be downloaded here.
The slides from my presentation at the AMS Special Session on on Computational Algebraic and Analytic Geometry for Low-dimensional Varieties at the Joint Mathematics Meetings can be downloaded here.
The slides from my presentation at ANTS VIII can be downloaded here.
The slides from my presentation at West Coast Number Theory 2007 can be downloaded here. Note: Slides 8, 16 and 17 were not put on the overhead due to time constraints. If you see any typos, please let me know. The talk mainly concerns the contents of the paper titled Tabulation of cubic function fields with imaginary and unusual Hessian.

Job Application Materials

My CV in PDF format.
My research statement in PDF format.
My teaching statement in PDF format.