I study p-adic differential equations through the geometry of their spectra.

Assistant Professor at the
Beijing Institute of Mathematical Sciences
and Applications

Portrait of Tinhinane Amina Azzouz
Assistant ProfessorBIMSA

About

My research lies at the intersection of p-adic differential equations, non-Archimedean geometry and ultrametric spectral theory. I am interested in how the Berkovich spectrum of a differential operator captures the structure and variation of its solutions.

I joined BIMSA as an Assistant Professor in January 2024, following a postdoctoral position at the Yau Mathematical Sciences Center, Tsinghua University, and BIMSA. I received my Ph.D. from the Université de Montpellier in 2018, under the supervision of Andrea Pulita and Jérôme Poineau.

Research interests: p-adic differential equations · Berkovich spaces · ultrametric functional analysis.

Currently

Variation of the spectrum

The second part of my work on the spectrum of p-adic linear differential equations is published in the Journal of the London Mathematical Society.

Publication details

Ramification Theory of Local Fields

A graduate course at BIMSA, from valuations and extensions of local fields to ramification filtrations and wild examples.

Course information

Contact

Email

azzouzta@bimsa.cn
Institutional profile

Office

A12-202 · BIMSA
Huairou District, Beijing
China