Geometry of Shimura varieties in positive characteristic

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Building up on previous work with my coauthors Naoki Imai (Tokyo University) and Wushi Goldring (Stockholm University), we completed three preprints in 2022. In those papers, we show instances of a general conjecture regarding the weight of automorphic forms in characteristic p. We also prove certain vanishing results for the cohomology of Shimura varieties, which improves on results from previous papers. We have submitted our preprints in peer-reviewed journals.I presented this research at a conference in Niseko in September 2022. I was also invited to a Oberwokfach workshop on the arithmetic of Shimura varieties, where I discussed my research with several mathematicians, and planned on future research projects.