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Review

2019

Review

2019

This is an informal tutorial on the supersingular isogeny Diffie-Hellman protocol aimed at non-isogenists.

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2019

2019

We describe the structure of Tate-Shafarevich groups of a constant elliptic curves over function fields by exploiting the volcano… Expand

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Highly Cited

2016

Highly Cited

2016

We study cryptosystems based on supersingular isogenies. This is an active area of research in post-quantum cryptography. Our… Expand

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Highly Cited

2012

Highly Cited

2012

We present a new algorithm to compute the classical modular polynomial l in the rings Z(X;Y ) and (Z=mZ)(X;Y ), for a prime l and… Expand

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2012

2012

Isogeny volcanoes are graphs whose vertices are elliptic curves and whose edges are l-isogenies. Algorithms allowing to travel on… Expand

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2012

2012

The remarkable structure and computationally explicit form of isogeny graphs of elliptic curves over a finite field has made them… Expand

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2010

2010

Isogeny volcanoes are graphs whose vertices are elliptic curves and whose edges are l-isogenies. Algorithms allowing to travel on… Expand

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2010

2010

Alberta Number Theory Days fell at the very start of the newly formed PIMS CRG in Number Theory, and was thus an excellent… Expand

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2007

2007

The security of most elliptic curve cryptosystems is based on the intractability of the Elliptic Curve Discrete Logarithm Problem… Expand

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Highly Cited

2002

Highly Cited

2002

Recently, Kohel gave algorithms to compute the conductor of the endomorphism ring of an ordinary elliptic curve, given the… Expand

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