Number Theory Theses

• Algebraic Curves, Riemann Hypothesis and Coding  - Presents an essay which shows the usefulness of studying algebraic curves over finite fields. Includes photos and related links.
• Computations on Diagonal Quartic Surfaces  - Provides downloads of the various bits of data and implementations of algorithms. With a study on the computations on diagonal quartic surface.
• Explicit Approaches to Modular Abelian Varieties  - Presents information about the author, downloads, and location. Also shows an article written by the author.
• Fast Arithmetic on Hyperelliptic Curves  - Provides information about the detailed preprint dealing with arbitrary genus and characteristics. Also shows preprint archives.
• Galois Groups and Greenberg's Conjecture  - Provides a large class of examples of cyclotomic fields. With downloads and contact information.
• On a Certain Ratio of Petersson Norms and Level-lowering Congruences  - Provides some of the articles of the author. With its main research interest, which is the study of special values.
• On the Estimates of the Measure of Linear Independence for Values of Certain Analytical Functions  - Presents a discussion on the measure of irrationality for the values of E and G functions. Includes references and location.
• Online Theses in Number Theory  - Presents a list of theses from 1990 to 2006, with respective authors and their locations.
• Slopes of Overconvergent Modular Forms  - Provides an abstract to the authors thesis. With sample calculations and formulas.