On the Brown-Ravenhall relativistic Hamiltonian and the stability of matter ; Assessing accuracy in a numerical Einstein solver ; Variational principle for the limit cycle of Rayleigh's equation ; Approach to the singularity in spatially inhomogeneous cosmologies ; On the absolute continuity of the periodic Schrodinger and Dirac operators with magnetic potential ; Correlations, spectral gap and log-Sobolev inequalities for unbounded spins systems ; One dimensional regularizations of the Coulomb potential with application to atoms in strong magnetic fields ; Construction of a solution to the semilinear elliptic equation in Chern-Simons gauge theory ; Approximate eigenvectors and spectral theory ; The initial value problem in the large and spacetime singularities ; On the kernel of pin^c Dirac operators on mathbb S^3 and mathbb {R}^3 ; Realizing holonomic constraints in classical and quantum mechanics ; A combined sine-Gordon and modified Korteweg-de Vries hierarchy and its algebro-geometric solutions ; A minimax principle for eigenvalues in spectral gaps ; Semiclassical dynamics and exponential asymptotics ; Genericity of the band-gap structure of periodic media in the large coupling limit ; Distribution of eigenvalues in the dense point spectrum of Schrodinger operators ; On the distribution of scattering resonances for asymptotically hyperbolic manifolds ; The multiformity of Lifshits tails caused by random Landau Hamiltonians with repulsive impurity potentials of different decay at infinity ; Schrodinger operator perturbed by dynamics of lower dimension ; Hyperbolic inverse problem with data on a part of the boundary ; Best Sobolev inequalities on Riemannian manifolds ; Self-energy of electrons in non-perturbative QED ; The ground state energy of a dilute Bose gas ; Trace formulae and completely integrable Hamiltonians ; On the maximum and anti-maximum principles ; The null condition and global existence of nonlinear elastic waves ; The Hartree-Fock approximation in quantum electrodynamics-Positivity of the energy ; Shock-wave cosmology ; On some reverse inequalities in the Segal-Bargmann space ; On the initial value problem of the Toda and Kac-van Moerbeke hierarchies ; A class of non-selfadjoint Hill's operators with analytic potentials ; Regularized long wave-KP models ; Spectral issues for block operator matrices ; Some fully nonlinear equations in conformal geometry ; ^p - L^{\acute {p}} estimates for the Schrodinger equation and inverse scattering ; Stationary states of Vlasov system