Research
Publications:
11) Tessellations of an affine apartment by affine weight polytopes,
With A. Hébert, D. Izquierdo, B. Loisel,
Arxiv. Submitted.
10) A Continued Fraction theory for the completion of the Puiseux field,
With L. Arenas-Carmona,
Arxiv. Submitted.
9) Diophantine Approximation in local function fields via Bruhat-Tits trees,
With L. Arenas-Carmona,
Arxiv. Submitted.
8) Arithmetic subgroups of Chevalley group schemes over function fields II: Conjugacy classes of maximal unipotent subgroups,
With B. Loisel,
Arxiv. Submitted.
7) Arithmetic subgroups of Chevalley group schemes over function fields I: quotients of the Bruhat-Tits building by {P}-arithmetic subgroups,
With B. Loisel,
Arxiv. Submitted.
6) Relative homology of arithmetic subgroups of SU(3),
J. of Group Theory (2024) Arxiv.
5) Quotients of the Bruhat-Tits tree by function field analogs of the Hecke congruence subgroups,
J. of Number Theory (2024) Arxiv.
4) On genera containing non-split Eichler orders over function fields,
With L. Arenas-Carmona,
J. de Th. des Nombres de Bordeaux (2022) Arxiv.
3) Maximal orders containing a given sub-order for local fields of even characteristic,
With L. Arenas-Carmona,
Comm. in Algebra (2022) Arxiv.
2) Quotients of the Bruhat-Tits tree by arithmetic subgroups of special unitary groups,
With L. Arenas-Carmona, B. Loisel and G. Lucchini Arteche,
J. of Pure and Applied Algebra (2022) Arxiv.
1) Computing embedding numbers and branches of orders via extensions of the BruhatTits tree,
WithL. Arenas-Carmona,
Int. J. of Number Theory (2019) Arxiv.
Projects in progress:
Cohomological dimension of S-arithmetic subgroups. With D. Izquierdo, Postdoctoral project.