MacMahon's Partition Analysis: I. The Lecture Hall Partition Theorem -- The cd-Index of Zonotopes and Arrangements -- Letter-Place Methods and Homotopy -- Classification of Trivectors in 6-D Space -- Parameter Augmentation for Basic Hypergeometric Series, I -- Unities and Negation -- The Would-Be Method of Targeted Rings -- Lattice Walks and Primary Decomposition -- Natural Exponential Families and Umbral Calculus -- Umbral Calculus in Hilbert Space -- A Strategy for Determining Polynomial Orthogonality -- Plethystic Formulas and Positivity for q, t-Kostka Coefficients -- An Alternative Evaluation of the Andrews-Burge Determinant -- The Number of Points in a Combinatorial Geometry with No 8-Point-Line Minors -- Umbral Shifts and Symmetric Functions of Schur Type -- An Axiomization for Cubic Algebras -- An Elementary Proof of Roichman's Rule for Irreducible Characters of Iwahori-Hecke Algebras of Type A -- Universal Constructions in Umbral Calculus -- Hyperplane Arrangements, Parking Functions and Tree Inversions -- More Orthogonal Polynomials as Moments -- Difference Equations via the Classical Umbral Calculus -- An Analogy in Geometric Homology: Rigidity and Cofactors on Geometric Graphs -- The Umbral Calculus and Identities for Hypergeometric Functions with Special Arguments -- Apologies to T.S. Eliot: The Rota Nerds.