Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics

<p>Preface.- Antonio Campillo: A Portrayal of his Life and Work.- Singularities in Positive Characteristic Equisingularity, Classification, Determinacy: Dedicated to Antonio Campillo on the occasion of his 65th birthday.- Ultrametric spaces of branches on arborescent singularities.- Two points of the boundary of toric geometry.- On the Milnor formula in arbitrary characteristic.- Foliations in the plane uniquely determined by minimal subschemes of its singularities.- Newton transformations and the motivic Milnor fiber of a plane curve.- Nash modification on toric curves.- A recursive formula for the motivic Milnor fiber of a plane curve.- On Hasse--Schmidt derivations: the action of substitution maps.- An introduction to resolution of singularities via the multiplicity.- Platonic Surfaces.- Coverings of rational ruled normal surfaces.- Ulrich bundles on Veronese surfaces.- Multiple structures on smooth on singular varieties.- Smoothness in a family of varieties with dihedral symmetry and the DFT matrix.- The Greedy Algorithm and the Cohen-Macaulay property of rings, graphs and toric projective curves.- Binomial ideals and congruences on $\mathbb{N}^n$.- The $K$-theory of toric schemes over regular rings of mixed characteristic.- On finite and nonfinite generation of associated graded rings of Abhyankar valuations.- Symbolic powers of monomial ideals and Cohen-Macaulay vertex-weighted digraphs.- Asymptotics of reduced algebraic curves over finite fields.- The Poincaré polynomial&nbsp; of&nbsp; a linear code.- The Metric Structure of Linear Codes.- On some properties of $A$ inherited by $C_{b}(X,A)$.- A fractional partial differential equation for theta functions.- On continued fractions.</p>