Research

Model theory, in the sense of mathematical logic, and its applications to algebra. In particular to valued fields and related structures. 

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

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

2. 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 

3. Residue field domination. 

Israel Journal of Mathematics (accepted, to appear)

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

4. 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                                                                                                                                                                                                                                                                            

5. 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