I am interested in analytic number theory. During my PhD studies, my main fucus was on the solubility of systems of forms in the p-adic numbers.
Miriam Sophie Kaesberg. Beyond Artin's conjecture for cubic forms. Mathematika 66 (2020), no.3, 577-611. (https://doi.org/10.1112/mtk.12030)
Miriam Sophie Kaesberg. On Artin's Conjecture: Pairs of Additive Forms. (2020) available at arxiv.org/abs/2011.08732
Thesis
Two Cases of Artin's Conjecture (Ph.D. Thesis) (hdl.handle.net/21.11130/00-1735-0000-0005-158A-8 )