Berry's connection in a quantum relativistic description of the curved space analogue of development ; Heat-kernel asymptotics of the Gilkey-Smith boundary-value problem ; On ellipticity and gauge invariance in Euclidean quantum gravity ; Undercompressive waves in driven thin film flow: Theory, computation, and experiment ; Internal time peculiarities as a cause of bifurcations arising in classical trajectory problem and quantum chaos creation in three-body systems ; Random motion of quantum harmonic oscillator-Thermodynamics of nonrelativistic vacuum ; A new formulation of Lax pairs for generalized Calogero-Moser models ; Four-point correlation functions in the AdS/CFT correspondence ; Gravitational instantons and moduli spaces ; Superdualities and twisted self-duality ; Boomerons in field theory ; A layman's guide to theory ; Family symmetry, the anomalous (1) and neutrino mixing ; Stochastic quantization approach to \leq 1 open-closed string field theories ; Gauge invariance and effective actions at finite temperature ; Superconformal deformations and space-time symmetries ; Nonlinear patterns in microstructures ; Non-thermalizability of a quantum field theory ; Field theory for chemical spaces ; From functions to matrices ; Duality and construction of quantum integrable systems ; Geometric concepts for the mass in general relativity ; Crystallographic topology 2: Overview and work in progress ; Gravitationally dressed RG flows, zigzag symmetry and zero-tension strings ; Einstein metrics and the Yamabe problem ; Numerical evolution in time of curvature perturbations in Kerr black holes ; Nonlinearity and self-similarity: Wavelets and compactons on a physical background ; On analytic approach to perturbative quantum chromodynamics ; Lattice gauge theory ; Integrable models with boundary ; Mathematical aspects of chiral gauge theories on the lattice ; The statistical entropy of black holes and the dS_3 geometry ; Canonical treatment of regular Lagrangians with holonomic constraints as singular systems ; Algebraic shape invariant models ; Molecular configurations and Euclidean distance matrices ; Derivative expansion of the one-loop effective action in QED ; Nonlinear generalizations of a 3-manifold's Dirac operator ; Dynamical symmetry approach to quantum many-body problems