Shock waves and cosmology ; Variational construction of diffusion orbits in convex Hamiltonian systems with multiple degrees of freedom ; Saddlepoint approximations and boundary crossing probabilities for random fields and their applications ; Recognizing certain rational homogeneous manifolds of Picard number 1 from their varieties of minimal rational tangents ; Discontinuous Galerkin methods for convection dominated partial differential equations ; Singularity behavior of the mean curvature flow ; Localization and duality ; Surgical Ricci flow on four-manifolds with positive isotropic curvature ; Special subvarieties of mathcal {A}_g ; Local monodromy of the Kloosterman sheaf at infty ; Hilbert modular functions and their CM values ; Geometric invariant theory and birational geometry ; Remarks on Gieseker's degeneration and its normalization ; Bundle rigidity of complex surfaces ; CR equivalence problem of strongly pseudoconvex CR manifolds ; Vector bundles on non-primary Hopf manifolds with abelian fundamental group ; Subelliptic PDE's and subRiemannian geometry ; The curvature flow on a closed 3-manifold of positive curvature ; The space of symplectic structures on closed 4-manifolds ; Ancient solutions to Kahler-Ricci flow ; A convergence result of the Lagrangian mean curvature flow ; On piecewise algebraic variety ; An introduction to chiral equivariant cohomology ; Large scale geometry, compactifications and the integral Novikov conjectures for arithmetic groups ; Normal dilations ; On the generator problem of von Neumann algebras ; A survey of results on the ground state of semilinear elliptic equations ; Separating and extending subgroups of a locally compact group ; The triangle of operators, topologies, bornologies ; The positive mass theorem near null infinity