Research

Publications:

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),

Arxiv. Accepted in J. of Group Theory.

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, 

With L. Arenas-Carmona,

Int. J. of Number Theory (2019) Arxiv.

Projects in progress:

Cohomological dimension of S-arithmetic subgroups. With D. Izquierdo, Postdoctoral project.