15 citations · 33 across the 21 of their papers we have counts for
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math.NT2012
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…
math.NT2012
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…
math.NT2012
On Profinite Hyperbolicity and Diophantine Geometry
Arash Rastegar
In this note, we explore the notion of hyperbolicity of topologically finitely generated profinite groups. Some applications to diophantine geometry are suggested and we try to ref…