## Collective residencies / MATHEMATICS / Olot

### AUREL PAGE

From Monday, 27 February 2017 to Friday, 3 March 2017

### Bio

Aurel Sage is a mathematician and computer scientist, mostly working on number theory and geometry, and their computational. He contributes to the development of computer algebra software such as pari/gp, SageMath and Magma. He studied in the Ecole Normale Supérieure in Paris from 2007 to 2011, and then worked on a PhD thesis in Pure Mathematics, “Explicit methods for arithmetic groups”, in the Université de Bordeaux from 2011 to 2014. Since 2014 Page has been a Research Fellow in the University of Warwick (United Kingdom).

### Project

I will work on algorithms to compute “arithmetic manifolds”: beautiful geometric structures whose symmetries contain deep information about prime numbers. They are defined using a curved geometry, where triangles look thinner than usual, but they can still be studied using polytopes from classical geometry. This work will be included in the SageMath software.