A CIMPA research school on Explicit Number Theory The University of the Witwatersrand Johannesburg, South Africa January 8th- 19th, 2018

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	The aim of this research school is to introduce young researchers to the explicit side of Number Theory. As it has becoming clear in the past decades many number theoretic constructions can find an application in cryptography or coding theory, but to do so they have to be in explicit form. This school will provide interested students from South Africa and neighbouring countries with the opportunity to get an introduction to the computational as well as theoretical side of several number theoretical topics such as: explicit computations in number fields (such as finding their class groups, unit groups, etc.); explicit solutions of Diophantine equations (such as Pell equations, Thue equations, etc.); efficient algorithms for prime testing and factorization of integers; explicit construction of elliptic curves over finite fields with prescribed number of points.
	Scientific Committee Yuri Bilu Unuversité de Bordeaux France Shabnam Akhtari University of Oregon United States of America Florian Luca The university of the Witwatersrand South Africa Amalia Pizarro Universidad de Valparaíso Chile Valerio Talamanca Università Roma Tre Italy Local Committee Florian Luca The university of the Witwatersrand South Africa Charlotte Brennan The university of the Witwatersrand South Africa Betsie Jonck The university of the Witwatersrand South Africa Arnold Knopfmacher The university of the Witwatersrand South Africa Augustine Munagi The university of the Witwatersrand South Africa
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