Research

Model theory, in the sense of mathematical logic, and its applications to valued fields and non- archemedian geometry. 

1. On orthogonal types to the value group and residual domination (with Pablo Cubides Kovacsics and Silvain Rideau-Kikuchi)

pre-print: https://arxiv.org/pdf/2410.22712v1 

2. On Descent and germs (with Pierre Simon)

pre-print: https://arxiv.org/abs/2407.19336 

3. Imaginaries in equicharacteristic zero henselian valued fields (with Rideau-Kikuchi)

pre-print: https://arxiv.org/pdf/2311.00657.pdf  

4. Elimination of imaginaries in C((T)). 

Journal of the London Mathematical Society, Vol 108, Issue 2, 482-544, 2023 

https://doi.org/10.1112/jlms.12751 

5. Residue field domination. 

Israel Journal of Mathematics (accepted, to appear)

pre-print: https://arxiv.org/pdf/2109.08243.pdf 

6. Elimination of imaginaries in ordered abelian groups with bounded regular rank.  

The Journal of Symbolic Logic, 1-16. 

 https://doi.org/10.1017/jsl.2023.6                                                                                                                                                                                                                                                                            

7. Definable groups in models of Presburger Arithmetic (with Alf Onshuus) 

Annals of Pure and Applied Logic, Vol. 171, Issue 6 

https://doi.org/10.1016/j.apal.2020.102795