GAATI

GAATI Research Group

Department of Mathematics of French Polynesia

Research

Introduction

Information theory has become a critical field due to its key role in the advance of global communication networks as well as everyday technology items such as smart cards, storage media, and much more. Over the past decades, its development has been largely enabled by the use of deep mathematical results and objects, mostly originating from the vast field of algebraic geometry, such as elliptic curves.

Although such objects have been studied from a pure mathematical standpoint for centuries, their effective and computational aspects, without which applications to information theory would not exist, have only been investigated for a few decades and remain largely unexplored. The GAATI group brings together mathematicians working on topics of great significance to information theory, and directs its research effort towards:

Topics

Although not limited to the list below, the current research interests of the GAATI group include: