Publication

On the Mordell-Weil lattice of y(2) = x(3) + bx plus t(3n+1) in characteristic 3

Publications associées (26)

Some Mordell-Weil lattices and applications to sphere packings

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EPFL2024

Mean value theorems for collections of lattices with a prescribed group of symmetries

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Euclidean lattices are mathematical objects of increasing interest in the fields of cryptography and error-correcting codes. This doctoral thesis is a study on high-dimensional lattices with the motivation to understand how efficient they are in terms of b ...

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On the Sums over Inverse Powers of Zeros of the Hurwitz Zeta Function and Some Related Properties of These Zeros

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Recently, we have applied the generalized Littlewood theorem concerning contour integrals of the logarithm of the analytical function to find the sums over inverse powers of zeros for the incomplete gamma and Riemann zeta functions, polygamma functions, an ...

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Given two elliptic curves and the degree of an isogeny between them, finding the isogeny is believed to be a difficult problem—upon which rests the security of nearly any isogeny-based scheme. If, however, to the data above we add information about the beh ...

2024

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Two design studios were successively taught in two schools of architecture: one at the Harvard Graduate School of Design (GSD) and the other at the Swiss Federal Institute of Technology in Lausanne (EPFL) in Lausanne, Switzerland, based on "A Global Morato ...

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Isogeny-based cryptography is an instance of post-quantum cryptography whose fundamental problem consists of finding an isogeny between two (isogenous) elliptic curves E and E′. This problem is closely related to that of computing the endomorphism ring of ...

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Hausdorff dimension of fermions on a random lattice

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Geometric properties of lattice quantum gravity in two dimensions are studied numerically via Monte Carlo on Euclidean Dynamical Triangulations. A new computational method is proposed to simulate gravity coupled with fermions, which allows the study of int ...

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On the Mordell-Weil lattice of y(2) = x(3) + bx plus t(3n+1) in characteristic 3

Some Mordell-Weil lattices and applications to sphere packings

Mean value theorems for collections of lattices with a prescribed group of symmetries

On the Sums over Inverse Powers of Zeros of the Hurwitz Zeta Function and Some Related Properties of These Zeros

Isogeny Problems with Level Structure

Teaching Not To

Exploring SIDH-Based Signature Parameters

Rising from rubble - Leveraging existing construction tools for upcycling concrete waste into slender walls

FLO:RE – A new floor system made of reused reinforced concrete and steel elements

Hausdorff dimension of fermions on a random lattice

Graph Chatbot

Some Mordell-Weil lattices and applications to sphere packings

Mean value theorems for collections of lattices with a prescribed group of symmetries

On the Sums over Inverse Powers of Zeros of the Hurwitz Zeta Function and Some Related Properties of These Zeros

Isogeny Problems with Level Structure

Teaching Not To

Exploring SIDH-Based Signature Parameters

Rising from rubble - Leveraging existing construction tools for upcycling concrete waste into slender walls

FLO:RE – A new floor system made of reused reinforced concrete and steel elements

Hausdorff dimension of fermions on a random lattice

Transition to chaos in extended systems and their quantum impurity models

Transition to chaos in extended systems and their quantum impurity models