Article Preprints For This Issue A Jacobian criterion of nonsingularity in mixed characteristicBy M. Hochster and J. Jeffries Ollivier Ricci-flow on weighted graphsBy S. Bai, Y. Lin, L. Lu, Z. Wang, and S.-T. Yau Motivic congruences and Sharifi's conjectureBy O. Rivero and V. Rotger Singular limits of K\"ahler-Ricci flow on Fano $G$-manifoldsBy Y. Li, G. Tian, and X. Zhu Differential transcendence of Bell numbers and relatives: a Galois theoretic approachBy A. Bostan, L. Di Vizio, and K. Raschel Algebraic weaves and braid varietiesBy R. Casals, E. Gorsky, M. Gorsky, and J. Simental On the µ-invariants of residually reducible Galois representationsBy A. Ray and R. Sujatha