MULTIYEAR PROGRAM
CONFERENCE
Arithmetic, Geometry, Cryptography and Coding Theory
Arithmétique, Géométrie, Cryptographie et Théorie des Codes
9 – 13 June, 2025
Scientific Committee
Comité scientifique
Samuele Anni (I2M, Aix–Marseille Université)
Stéphane Ballet (I2M, Aix–Marseille Université)
Valentijn Karemaker (Universiteit Utrecht)
Elisa Lorenzo García (Université de Rennes)
Christophe Ritzenthaler (Université de Rennes 1)
Organizing Committee
Comité d’organisation
Yves Aubry (IMATH Université de Toulon, I2M Aix-Marseille Université)
Fabien Pazuki (University of Copenhagen)
Cecilia Salgado (University of Groningen)
The conference will cover a broad spectrum of topics, including
— algebraic and arithmetic geometry over finite fields and global fields ;
— number theory, especially explicit and algorithmic aspects of global fields ;
— algebraic-geometric codes constructed from curves and higher dimensional algebraic varieties, over finite fields and global fields ;
— arithmetic and geometric aspects of cryptography (symmetric, public key and postquantum) and cryptanalysis.
– la géométrie algébrique et arithmétique sur les corps finis et les corps globaux ;
– la théorie des nombres, en particulier les aspects explicites et algorithmiques des champs globaux ; ;
– les codes algébriques-géométriques construits à partir de courbes et de variétés algébriques de dimension supérieure, sur des corps finis et des corps globaux ; – les aspects arithmétiques et géométriques de la géométrie algébrique ;
– les aspects arithmétiques et géométriques de la cryptographie (symétrique, à clé publique et postquantique) et de la cryptanalyse.
SPEAKERS
Daniele Bartoli (University of Perugia) Recent results on scattered spaces and MRD codes
Elena Berardini (Université de Bordeaux) Evaluation codes in the sum-rank metric
Herivelto Borges (University of São Paulo) Classification of F_p^3-Frobenius Nonclassical Curves y^n=f(x)
Nils Bruin (Simon Fraser University) 2-isogenies on Jacobians of genus 3 curves
Anne Canteaut (INRIA) On the structure of the known infinite families of APN functions
Ilaria Cardinali (Siena University) The point-hyperplane geometry: relatively universal embeddings and associated codes
María Chara (National University of Litoral) Iso-Dual AG Codes via Liftings and Towers of Function Fields
Alain Couvreur (INRIA Université Paris-Saclay) Freiman’s 3k-4 theorem for function fields
Mar Curcó-Iranzo (Utrecht University) Conductor exponents in families of hyperelliptic curves
Mrinmoy Datta (Indian Institute of Technology Hyderabad) Recent results on the minimum distances of codes from Hermitian varieties over finite fields
Luca De Feo (IBM Research Europe) Isogeny Crypto Goes Full Theta
Juanita Duque-Rosero (Boston University) Invariants of Artin-Schreier curves
Sudhir Ghorpade (Indian Institute of Technology Bombay) Linear sections of affine Veroneseans and higher weight spectra of Reed-Muller codes
Richard Griffon (Université Clermont Auvergne) A parallelogram inequality for abelian varieties over function fields
Marc Hindry (Université Paris Cité) Integral points on a family of elliptic curves
Everett Howe (Caltech) Enumerating hyperelliptic curves over finite fields with minimal time and memory
Annamaria Iezzi (Université Grenoble Alpes) Inseparable endomorphisms of supersingular elliptic curves
Kiran Kedlaya (University of California San Diego) Distribution of Frobenius polynomials of abelian varieties of extremely small order
David Kohel (Aix-Marseille Université) Superinsgular isogeny graphs and Hecke modules with level structure
Sabrina Kunzweiler (Université de Bordeaux) Cryptographic hash functions from abelian threefolds
Davide Lombardo (University of Pisa) Sato-Tate groups of Fermat Jacobians
Beth Malmskog (Colorado College) Codes with Locality and Hierarchy from Surfaces
Chloé Martindale (University of Bristol) Open problems at the forefront of post-quantum cryptography
Maria Montanucci (Technical University of Denmark) Automorphism groups of algebraic curves in positive characteristic
Philippe Moustrou (Université Toulouse – Jean-Jaurès) A refinement on Ihara’s bound via a Serre type argument
Steffen Müller (University of Groningen) Quadratic Chabauty over number fields and 3-adic Galois representations
Jade Nardi (CNRS Université de Rennes) About weighted projective Reed-Muller codes
Luciane Quoos (Federal University of Rio de Janeiro) Linear complementary pairs of AG-codes, and linear complementary dual AG-codes
Damien Robert (INRIA Université de Bordeaux) The module action for isogeny based cryptography
Renate Scheidler (University of Calgary) Structure of Supersingular Elliptic Curve Isogeny Graphs
Katherine Stange (University of Colorado Boulder) Complex multiplication, biextensions, pairings, elliptic nets
Lara Vicino (University of Groningen) Locally Recoverable Codes with availability from a family of fibered surfaces
Serge Vladuts (Aix-Marseille Université) Generalized Sato-Tate and quadratic residues
Isabel Vogt (Brown University) Interpolation problems for curves
John Voight (University of Sydney) Reducing models for branched covers of the projective line
Zoé Yvon (Aix-Marseille Université) Vertical coincidences of an elliptic curve defined over a number field
