15 citations · 33 across the 21 of their papers we have counts for
21 papers
Arithmetic Teichmuller Theory
Arash Rastegar
By Grothendieck's anabelian conjectures, Galois representations landing in outer automorphism group of the algebraic fundamental group which are associated to hyperbolic smooth cur…
Approximation on abelian varieties by its subgroups
Arash Rastegar
In this paper, we introduce an algebro-geometric formulation for Faltings' theorem on diophantine approximation on abelian varieties using an improvement of Faltings-Wustholz obser…
A geometric formulation of Siegel's diophantine theorem
Arash Rastegar
In this paper, we introduce an algebro-geometric formulation for Siegel's theorem using an improvement of Lang's version of Roth's theorem over finitely generated fields of charact…
EPH-classifications in Geometry, Algebra, Analysis and Arithmetic
Arash Rastegar
Trichotomy of Elliptic-Parabolic-Hyperbolic appears in many different areas of mathematics. All of these are named after the very first example of trichotomy, which is formed by el…
Arithmetic Deformation Theory of Lie Algebras
Arash Rastegar
This paper is devoted to deformation theory of graded Lie algebras over or with finite dimensional graded pieces. Such deformation problems naturally appear in number t…
Self-Similarity in Geometry, Algebra and Arithmetic
Arash Rastegar
We define the concept of self-similarity of an object by considering endomorphisms of the object as `similarity' maps. A variety of interesting examples of self-similar objects in…