The Legacy of Alladi Ramakrishnan.- Contributions of Alladi Ramakrishnan to the Mathematical Sciences.- Alladi Ramakrishnan’s Theoretical Physics Seminar.- Telegrams Received for the MATSCIENCE Inauguration.- The Miracle has Happened.- Overseas Trips of Alladi Ramakrishnan.- List of Publications of Alladi Ramakrishnan.- List of PhD Students of Alladi Ramakrishnan.- Pure Mathematics.- Inversion and Invariance of Characteristic Terms: Part I.- Partitions with Non-Repeating Odd Parts and Q-Hypergeometric Identities.- q-Catalan Identities.- Completing Brahmagupta’s Extension of Ptolemy’s Theorem.- A Transformation Formula Involving the Gamma and Riemann Zeta Functions in Ramanujan’s Lost Notebook.- Ternary Quadratic Forms, Modular Equations, and Certain Positivity Conjectures.- How Often is n! a Sum of Three Squares?.- Eulerian Polynomials: From Euler’s Time to the Present.- Crystal Symmetry Viewed as Zeta Symmetry II.- Positive Homogeneous Minima for a System of Linear Forms.- The Divisor Matrix, Dirichlet Series, and SL(2, Z).- Proof of a Conjecture of Alladi Ramakrishnan on Circulants.- Probability and Statistics.- Branching Random Walks.- A Commentary on the Logistic Distribution.- Entropy and Cross Entropy: Characterizations and Applications.- Optimal Weights for a Class of Rank Tests for Censored Bivariate Data.- Connections Between Bernoulli Strings and Random Permutations.- Storage Models for a Class of Master Equations with Separable Kernels.- Theoretical Physics and Applied Mathematics.- Inverse Consistent Deformable Image Registration.- A Statistical Model for the Quark Structure of the Nucleon.- On Generalized Clifford Algebras and their Physical Applications.- (p, q)-Rogers-Szegö Polynomial and the (p, q)-Oscillator.- Rethinking Renormalization.-Magnetism, FeS Colloids, and Origins of Life.- The Ehrenfest Theorem in Quantum Field Theory.