Cesar Hilario

Address: Universitätstraße 1, 40225 Düsseldorf

Office: 25.22.02.39

I am a postdoc in the working group of Stefan Schröer at Heinrich-Heine Universität Düsseldorf. I received my PhD in March 2022 from IMPA, where I was advised by Karl-Otto Stöhr. Before that, I was an undergraduate student at Universidad Nacional de Ingeniería in Lima, Peru.

I work on algebraic geometry in positive characteristic. I am interested in regular curves that become non-regular after base change, and especially in their connection to fibrations by singular curves in positive characteristic. Among the tools I like to use is the theory of non-conservative function fields.

Research

• Turning non-smooth points into rational points, 2024. Arxiv.
• Fibrations by plane quartic curves with a canonical moving singularity (with Karl-Otto Stöhr), 2023. Arxiv.
• Generalizations of quasielliptic curves (with Stefan Schröer). Épijournal Géom. Algébrique 7 (2023), Art. 23, 31 pp. Arxiv.
• On regular but non-smooth integral curves (with Karl-Otto Stöhr), 2022. Arxiv.

Talks

Seminars

Miscellaneous