Papers on applied mathematics ; Regularity of Einstein spacetimes ; A survey on retrograde and prograde orbits of the three-body problem by variational methods ; Recent development of computational conformal geometry ; Some developments in spectral methods ; On the center of mass in general relativity ; Tailored finite point method for numerical simulation of partial differential equations ; Loop symmetric functions and factorizing matrix polynomials ; Spectral inequalities for partial differential equations and their applications ; Structured doubling algorithms for solving g-palindromic quadratic eigenvalue problems ; Ricci curvature and functional inequalities on graphs ; Complexity dichotomies of counting problems ; A survey on recent development in computational quasi-conformal geometry and its applications ; Dynamics of shock fronts for some hyperbolic systems ; Time-stepping methods for linear complementarity systems ; A brief survey on high order accurate maximum principle satisfying and positivity preserving discontinuous Galerkin and finite volume schemes for conservation laws ; A one parameter family of expanding wave solutions of the Einstein equations that induces an anomalous acceleration into the standard model of cosmology ; Banded matrices with banded inverses and =LPU ; Dissimilarity data in statistical model building and machine learning ; Some progress on computational geometry ; Geometrization program of semilinear elliptic equations ; Fast and near-optimal matrix completion via randomized basis pursuit ; Mathematical questions of quantum dilute gases ; Algebraic dynamics, canonical heights and Arakelov geometry ; Well-posedness and control of the Korteweg-de Vries equation on a bounded domain ; Statistical analysis in genetic association studies of mental illnesses ; Compressible Navier-Stokes equations with large density oscillation ; Some results on variational and topological methods