Concept
Médaille Fields
Publications associées (32)
Some Mordell-Weil lattices and applications to sphere packings
We provide new explicit examples of lattice sphere packings in dimensions 54, 55, 162, 163, 486 and 487 that are the densest known so far, using Kummer families of elliptic curves over global function fields.In some cases, these families of elliptic curves ...
EPFL2024On rationally connected varieties over C1 fields of characteristic 0
We use birational geometry to show that the existence of rational points on proper rationally connected varieties over fields of characteristic 0 is a consequence of the existence of rational points on terminal Fano varieties. We discuss several consequenc ...
MATHEMATICAL SCIENCE PUBL2022Perturbed Fourier uniqueness and interpolation results in higher dimensions
Joao Pedro Gonçalves Ramos, Martin Peter Stoller
We obtain new Fourier interpolation and uniqueness results in all dimensions, extending methods and results by the first author and M. Sousa [11] and the second author [12]. We show that the only Schwartz function which, together with its Fourier transform ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2022Designing cities in a changing world. Opening words
Elena Cogato Lanza, Martina Barcelloni Corte
The Seminar is addressed to doctoral students in the fields of Architecture, Urbanism, Global Health & Humanities and Social Sciences, interested in the use of the One Health concept (OH) as a tool to tackle urban themes (the city, the territory and the wa ...
2021Computing Cyclic Isogenies between Principally Polarized Abelian Varieties over Finite Fields
Abelian varieties are fascinating objects, combining the fields of geometry and arithmetic. While the interest in abelian varieties has long time been of purely theoretic nature, they saw their first real-world application in cryptography in the mid 1980's ...
EPFL2020