The Schur algorithm for generalized Schur functions I: coisometric realizations -- Hardy spaces on a finite bordered Riemann surface, multivariable operator model theory and Fourier analysis along a unimodular curve -- On Hankel operators associated with Markov functions -- Threshold effects near the lower edge of the spectrum for periodic differential operators of mathematical physics -- Cauchy's singular integral operator and its beautiful spectrum -- Approximation problems in some holomorphic spaces, with applications -- The Bargmann isometry and Gabor-Daubechies wavelet localization operators -- Stabilization of irrational transfer functions by controllers with internal loop -- Free Semigroup Algebras. A Survey -- Some geometric invariants from resolutions of Hilbert modules -- Some remarks on spherical isometries -- Higher-order Hankel forms and cohomology groups -- A weighted version of almost commutant lifting -- Hyperbolicity of semigroups and Fourier multipliers -- Relaxations of quadratic programs in operator theory and system analysis -- Bellman function in stochastic control and harmonic analysis -- Integral representations and uniqueness sets for star-invariant subspaces -- Well-posed linear systems, Lax-Phillips scattering, and Lp-multipliers -- Spectral theory for delay equations -- On a singular perturbation of a multiplication operator.