Experimental Number Theory with Sage

In this project Sage will be used to explore open problems in Number Theory. The main problem that will be explored will be that of which integers d does the equation x squared minus d times y squared equal negative four have solutions in odd integers. This is related to open research problems, and obtaining more numerical data could help make progress in these areas.

Cameron Shaw-Carmody

The University of Newcastle

Cameron Shaw-Carmody is currently enrolled at the University of Newcastle in a double degree of Bachelor of Mathematics, majoring in Pure Mathematics/Bachelor of Science with a Physics major. He intends undertaking Honours in Mathematics after completing his double degree with a view to postgraduate study that will enable him to be an academic. His research interests are Number Theory, Algebra and Theoretical Physics. At present he is engaged in a project based on computer modelling in Matlab, and he will follow this with research on experimental Number Theory using the computer program Sage. Cameron hopes that his background in both Physics and Mathematics will inform his research in both.

You may be interested in

Monica Seeber

Monica Seeber

Accuracy and Limits of Nodal Surface Approximations of the Lonsdaleit Minimal Surface
Enxi Lin

Enxi Lin

Spectra of Toeplitz operators on Hardy-Hilbert Spaces
Adam Brown-Sarre

Adam Brown-Sarre

Improving Dirichlet's Theorem
Bowen Parnell

Bowen Parnell

Lot Sizing on a Cycle
Contact Us

We're not around right now. But you can send us an email and we'll get back to you, asap.

Not readable? Change text.