Anne-Edgar WILKE

Anne-Edgar WILKE

Researcher

I am a member of the CANARI team, which belongs to the INRIA centre of the University of Bordeaux, and operates at the Institut de mathématiques de Bordeaux. My areas of interest are parametrisations of isomorphism classes of number fields of a given degree by integral orbits of prehomogeneous representations, enumeration algorithms derived from such parametrisations, and reduction theories for actions of arithmetic groups on algebraic varieties.

e-mail: anne-edgar.wilke@math.cnrs.fr

Publications and preprints

  1. Convexity, plurisubharmonicity and the strong maximum modulus principle in Banach spaces. Confluentes Mathematici 15 (2023) 83-106. [DOI]
    Preprints in French and in English: hal-03826500, hal-03826538, arXiv:2210.14087.

  2. Actions de groupes arithmétiques : théories de la réduction et algorithmes d’énumération (2025).
    Doctoral thesis. Manuscript: these.pdf; slides of the defence: soutenance.pdf.

Computations

  1. Primitive quartic number fields of absolute discriminant at most 109.
    Data: zenodo.7254825; C code: hal-03879661.

  2. Explicit formulas for normalised covariants of binary cubic forms and pairs of ternary quadratic forms with real coefficients.
    Data and Magma code: hal-05404880.

Other documents

Curriculum vitæ: cv_en.pdf.