Tinhinane A. Azzouz

Graduate courses in number theory, non-Archimedean geometry and p-adic differential equations at BIMSA.

Current course · 2026–2027

Ramification Theory
of Local Fields

An introduction to the structure of local fields and the ramification of their finite extensions, with examples from cyclotomic and Artin–Schreier theory.

Official course page
Dates
19 October 2026
– 6 January 2027
Schedule
Monday & Wednesday
13:30–15:05 (Beijing time)
Location
BIMSA · A14-202
Language
English

Main topics

  • Valuations, completions and local fields
  • Finite extensions and inertia
  • Lower and upper ramification filtrations
  • The different and the discriminant
  • Wild ramification and examples

Prerequisites

Abstract algebra and Galois theory.

Audience

Graduate students and researchers interested in algebraic number theory.

The official course page contains the syllabus and current practical information.

Previous courses

  1. Autumn 2025

    Introduction to Berkovich spaces

    BIMSA · 9 October – 26 December 2025

    Course page : Introduction to Berkovich spaces

  2. Spring 2025

    Introduction to p-adic differential equations III

    BIMSA · 20 February – 30 May 2025

    Course page : Introduction to p-adic differential equations III

  3. 2024–2025

    Introduction to p-adic differential equations II

    BIMSA · 23 October 2024 – 23 January 2025

    Course page : Introduction to p-adic differential equations II

  4. Spring 2024

    Introduction to p-adic differential equations

    BIMSA · 21 March – 21 June 2024

    Course page : Introduction to p-adic differential equations

Earlier teaching

I taught an introductory course on p-adic differential equations at the Sanya Mathematics Summer School in August 2022. My earlier teaching appointments were at Université Alger 1, Université Grenoble Alpes and Université de Montpellier.

Teaching history in my CV (PDF)