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# Research

I specialize in arithmetic geometry and $p$-adic representation theory, often seeking applications of geometric representation theory in a $p$-adic analytic context. My main focus lies currently on D-modules on rigid analytic spaces.

Publications:

Completed tensor products and a global approach to $p$-adic analytic differential operators. Math. Proc. Camb. Philos. Soc. 2019.

A proper mapping theorem for coadmissible D-cap-modules. Münster J. of Math. 2019.

Extending meromorphic connections to coadmissible D-cap-modules (with T. Bitoun, submitted).

D-modules on rigid analytic spaces III: weak holonomicity and operations (with K. Ardakov and S. Wadsley, submitted).