Research

Collaborators:

• L. Arenas-Carmona

• A. Hébert

• D. Izquierdo

• B. Loisel

• G. Lucchini Arteche

Publications:

12) On the homology of special unitary groups over polynomial rings,

Arxiv. Submitted.

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, 

With L. Arenas-Carmona,

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