# Posts by Year

## 2021

### Relative internality and definable fibrations

We first elaborate on the theory of relative internality in stable theories, focusing on the notion of uniform relative internality (called collapse of the g...

### Rational factors, invariant foliations and algebraic disintegration of compact mixing Anosov flows of dimension 3

An Anosov flow of dimension three. Abstract: In this article, we develop a geometric framework to study the notion of semi-minimality for the gen...

### Corps différentiels et flots géodésiques I: Orthogonalité aux constantes pour les équations différentielles autonomes

Abstract: Orthogonality to the constants is property of an algebraic differential equation that originated from the model-theoretic study of differential fie...

## 2020

### Generic planar algebraic vector fields are strongly minimal and disintegrated

Representation of a complex hyberbolic singularity. Abstract: In this article, we study model-theoretic properties of algebraic differential equa...

### Differential fields and Geodesic flows II : Geodesic flows of pseudo-Riemannian algebraic varieties

Abstract: We define the notion of a smooth pseudo-Riemannian algebraic variety $$(X,g)$$ over a field $$k$$ of characteristic 0, which is an algebraic an...

### Geodesic Flows and Model Theory of Differential Fields

Abstract: This thesis is dedicated to studying the interactions between two different approaches regarding differential equations: the model-theory of differ...