Some arXiv links that look interesting:
- Bhatt and Scholze: The pro-étale topology for schemes
- Farjoun and Scherer: Conditionally flat functors on spaces and groups
- Frot: Godel's Completeness Theorem and Deligne's Theorem
- Ruelle: Post-human mathematics
- Bak and Garge: Global actions, K-theory and unimodular rows
- Koenigsmann: Undecidability in number theory
- Lusztig: On conjugacy classes in the Lie group E_8