# Research

I have done some research about $p$-adic symmetric spaces in my master’s thesis. More precisely, I prove a Hodge-type decomposition for the de Rham cohomology of $p$-adically uniformized varieties by the product of $p$-adic symmetric spaces. It is based on work of Schneider, Stuhler, Iovita and Spiess on cohomology of $p$-adic symmetric space.

• Hodge-type decomposition for de Rham cohomology of $p$-adically uniformized Varieties, preprint 2018. https://arxiv.org/abs/1811.01153