Amnon Neeman: Finite approximations as a tool for studying triangulated categories is a contribution to the ICM proceedings, and a highly recommended read. The writing is delightful, switching between highly abstract category theory, algebraic geometry and down-to-earth analogues of those abstract results.
Francis Bischoff: Characters, Brackets, and Skeins is an interesting blogpost on character varieties, with beautiful pictures to illustrate the subject. Cool!
I wish there were more mathbloggers. I should probably do more serious mathblogging too, but alas.
Andreas Demleitner: The classification of hyperelliptic groups in dimension 4 is a monumental classification of analogues of bielliptic surfaces, but now in dimension 4.
I wonder what can be done with their derived categories: they don't seem to be indecomposable necessarily? I (or someone else) should probably check the Kawatani–Okawa, Lin and Caucci indecomposability criteria more carefully here.