Connectivity: a primer in phase transitions and critical phenomena for students of particle physics -- Algebraic aspects of exact models -- Elementary methods for statistical systems, mean field, large n, and duality -- Quantum scattering transformation -- Phases in gauge theories -- Unification of gauge and gravity interactions from compositeness -- Strong CP violation and axions -- Non-linear mechanics of a string in a viscous noisy environment -- Some new integrable models in field theory and statistical mechanics -- Calculating the large N phase transition in lattice gauge theories -- Excitation spectrum of ferromagnetic xxz-chains -- Computer simulations of a discontinuous phase transition and percolation clusters in the two-dimensional one-spin-flip Ising model -- Polyacetylene: a real material linking condensed matter and field theory -- The hidden fermions in Z(2) theories -- Remarks on alternative lattice actions and phase structure of lattice models -- Finite-size scaling theory -- Anderson transition and nonlinear ?-models -- Functional integration for kinks and disorder variables -- Continuum (scaling) limits of lattice field theories (triviality of ??4 in d(=)> 4 dimensions) -- Schrödinger representation in renormalizable quantum field theory -- All self-dual multimonopoles for arbitrary gauge groups -- Renormalization group aspects of 3-dimensional pure U(1) lattice gauge theory -- Mass splitting of the pseudoscalar mesons by Monte Carlo technique -- Radiative symmetry breaking in grand unified theories -- Ground state metamorphosis for Yang-Mills fields on a finite periodic lattice -- Lattice Fermions and Monte Carlo Simulations.