Sally Gilles

Sally Gilles is a postdoctoral researcher at the University of Duisburg-Essen within the Faculty of Mathematics, affiliated with Vytautas Paskunas's research group. She obtained her PhD in September 2020 from École Normale Supérieure de Lyon under the supervision of Wiesława Nizioł. Her primary research focuses on arithmetic geometry, p-adic Hodge theory, and p-adic cohomologies, with recent work emphasizing pro-étale cohomology and duality theorems.

Education:

• PhD in Mathematics (2020), École Normale Supérieure de Lyon, Advisor: Wiesława Nizioł

Her research explores advanced topics such as comparison theorems between pro-étale and de Rham cohomologies, compactly supported cohomology of analytic varieties, and arithmetic duality in p-adic contexts. Collaborations include projects with leading mathematicians like Pierre Colmez, Piotr Achinger, and Veronika Ertl.

Publications highlight her contributions to syntomic cohomology, v-topology explorations, and Fargues-Fontaine avatar theories. She has no listed scientific awards but maintains an active research agenda with multiple preprints under review.

As a postdoctoral researcher, she contributes to academic teaching, recently leading a course on pro-étale cohomology for schemes at the University of Duisburg-Essen (WS 2024-2025). Her work is centered within the department’s broader focus on arithmetic geometry and algebraic number theory.