Pieter Rozenhart

University of Calgary
Department of Mathematics and Statistics
2500 University Drive NW
Calgary, Alberta
T2N 1N4
Telephone: +1 (403) 220-6326
email: firstname.lastname AT gmail.com

I am visiting researcher at the University of Calgary. I am on the job market and seeking academic employment that begins in September 2012 (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

The preprint titled "Simple cubic function fields and class number computations" has been submitted and is now available below under "Preprints and Publications", and on arXiv via arXiv:1108.6048. This is joint work with Jonathan Webster (10/03/11)
The paper titled "Tabulation of cubic function fields via polynomial binary cubic forms" concerning cubic field tabulation has been accepted and will appear in Mathematics of Computation. (10/03/11)
Web page has now moved here! (10/03/11)

Preprints and Publications (versions given here may differ from final versions)

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].
P. Rozenhart and J. Webster, Simple cubic function fields and class number computations, Submitted. [PDF | arXiv:1108.6048].
P. Rozenhart, M. Jacobson Jr. and R. Scheidler, Tabulation of cubic function fields via polynomial binary cubic forms, To appear in Mathematics of Computation. [PDF | arXiv:1004.4785].
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.