1 Shell interactions for Dirac operators.- 2 Correlation inequalities for classical and quantum XY models.- 3 Dissipatively generated entanglement.- 4 Abelian gauge potentials on cubic lattices.- 5 Relative-Zeta and Casimir energy for a semitransparent hyperplane selecting transverse modes.- 6 Analysis of fluctuations around non-linear effective dynamics.- 7 Logarithmic Sobolev inequalities for an ideal Bose gas.- 8 Spherical Schrödinger Hamiltonians: spectral analysis and time decay.- 9 On the Ground state for the NLS equation on a general graph.- 10 Self-adjoint extensions of the Dirac operator with Coulomb potential.- 11 Dispersive estimates for Schrödinger operators with point interactions in R3.- 12 Chern and Fu-Kane-Mele invariants as topological obstructions.- 13 Norm approximation for many-body quantum dynamics and Bogoliubov theory.- 14 Effective non-linear dynamics of binary condensates and open problems.- 15 Remarks on the derivation of the Gross-Pitaevskii equation with magnetic Laplacian.- 16 On the inverse spectral problems for quantum graphs.- 17 Double-barrier resonances and time decay of the survival probability: a toy model