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List of works by Karl Rubin

Diophantine stability

scientific article published in 2018

Disparity in Selmer ranks of quadratic twists of elliptic curves

scientific article published in July 2013

Erratum to: The spin of prime ideals

scholarly article published in Inventiones Mathematicae

Finding composite order ordinary elliptic curves using the Cocks–Pinch method

scientific article published in May 2011

Finding large Selmer Groups

scientific article published in 2005

Finding large Selmer rank via an arithmetic theory of local constants

scientific article published in September 2007

Introduction

Kolyvagin systems

Mod $2$ representations of elliptic curves

scientific article published on 14 June 2000

ON ELLIPTIC CURVES WITH AN ISOGENY OF DEGREE 7

scientific article published in 2014

Ranks of elliptic curves

scientific article published in 2002

Stark units and Kolyvagin’s “Euler systems”

scientific article published in March 1992

Swan Modules and Hilbert–Speiser Number Fields

The main conjecture for CM elliptic curves at supersingular primes

scientific article published in January 2004

The spin of prime ideals

scientific article published in 2013

The “main conjectures” of Iwasawa theory for imaginary quadratic fields

Twisting commutative algebraic groups

scientific article published in 2007

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