SuSAAN – Summer School on Applied Arithmetic at Nesin

SuSAAN will take place at Nesin math Village in Turkey from June 6 to 17, 2022. It aims at gathering master and PhD students to work on various open questions related to the following topics:

  • Function fields arithmetic
  • algebraic curves over finite fields
  • complex multiplication fields
  • algebraic geometry codes
  • boolean functions
  • finite geometries and combinatorics
  • cryptography

Description of the project

If it may happen that some works lead to publications, the main purpose of this project is to give a motivated goal along which the participants will be able to aggregate new knowledge. The school will be mostly structured into working sessions in small groups under the direction of at least one lecturer. In addition to the working groups, a series of plenary lectures by Aurel Page (Inria, Université de Bordeaux, France) on algorithmic number theory together with exercise sessions using software PariGP will be given. Further informations on these lectures are available here.

How do research groups work?

  1. Before the beginning of the school, lecturers propose a working subject. This subject
    will be in the above described scope, should contain open questions but also require a
    limited amount on prerequisites to start working on it.
  2. When applying to the school, future participants notify their preferential interest in
    some topics in the above list. Depending on their interests such as their mathemat-
    ical capacities, the accepted applicants are distributed in 8 groups, each group being
    devoted to work under the direction of a given lecturer.
  3. During the school, groups are regularly gathered with their associated lecturer to work
    on the lecturer’s working subject. The lecturer should guide them in their investigation,
    possibly point them out some relevant references (book/articles). In complement to the
    working sessions, the lecturer gives them some mini lectures on the topic that she/he
    prepared before the school. These mini lectures permit to introduce some mathematical
    material that will help the young researchers during their investigation. The overall
    amount of mini lectures should not exceed 6 hours and is distributed along the two
    weeks at the convenience of the lecturer. She/he can fix the slots in advance or decide
    to introduce some given notion by a short mini-lecture when he/she considers that the
    group is ready to discover it.
  4. At mid term, each group will provide a short presentation of the current state of their
    work during a plenary meeting.
  5. The members of the group are required to write a report of their work using L A TEX.
    The lecturer does not participate to the redaction of the report but will be asked to
    proofread it when the document will be ready. The organisers of the event will compile
    all these reports as a full document that will be posted on an open platform such as
    HAL or ArXiv.
  6. In parallel to the working sessions, a plenary lecture on the use of a computer algebra
    software to do math will be given. This lecture will be 6 to 8 hours long divided in 3
    to 4 slots. This will be completed with computer programming exercise sessions.

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