Lauréate du Programme fellowship Lie-Størmer-CIMPA du 1er au 31 octobre 2025.
2025

Panta Priyanka
Lauréate du Programme fellowship Lie-Størmer-CIMPA du 1er au 31 octobre 2025.
Numbers Theory
Francesco Pappalardi
Summary:
Elementary Numbers Theory:
- Quadratic reciprocity
- Arithmetic fonctions
Analytic Numbers Theory :
- Dirichlet Arithmetic progression
- Prime Number Theorem
Integrable systems
Maciej Dunajski
Summary: Integrable systems are nonlinear differential equations which ‘in principle’ can be solved analytically. This means that the solution can be reduced to a finite number of algebraic operations and integrations. Such systems are very rare - most nonlinear differential equations admit chaotic behaviour and no explicit solutions can be written down. Integrable systems nevertheless lead to a very interesting mathematics ranging from differential geometry and complex analysis to quantum field theory and fluid dynamics.
Theories of Ordinary Differential Equations (ODEs): Special Topics
Abdulhakeem Yusuf
Summary: The following topics were covered during the period of stay
1. GENERAL FIRST-ORDER EQUATION i. General Introduction of ODE ii. iii. Equivalence of an Initial Value Problem Existence & Uniqueness Theorem
2. LINEAR SYSTEM OF FIRST-ORDER EQUATION i. Characrerisation of the Fundamental Matrix ii. iii. iv. v. vi. vii. Properties of Linear Systems Adjoint systems Homogeneous and non-homogeneous system Autonomous Differential equations LINEAR SYSTEMS WITH PERIODIC COEFFICIENTS THEORY OF OSCILLATION
Research Methodology
Patrick Tchepmo Djomegni
Lattices and codes : arithmetic for communication systems
Frédérique Oggier
Summary: In this course, we taught show how lattices and codes, both independently and jointly, are used in the context of communication systems. The course was structured as follows :
- Introduction to lattices and geometry of numbers
- Introduction to linear codes and lattices from codes
- Introduction to number fields and lattices from number fields
- Introduction to quaternion algebras and codes from quaternion algebras
- Practical aspects : channel modeling
Mathematical epidemiology
Patrick Tchepmo Djomegni
Introduction to real dynamical systems with applications
Jorge Mozo Fernández
Summary: The idea of this course is to give an introduction to the theory of real dynamical systems from scratch, focusing on the main elements of qualitative theory: equilibria, periodic orbits, limit cycles, … An outline of the contents is as follows:

Cyriaque Atindogbé
Membre depuis 2025