The Degeneracy of Two Spectral Sequences.- Hopf Algebra Structures for the Heisenberg Algebra: I.- Avalanches, Sandpiles and Tutte Decompositions.- On the Dimension and Degree of the Projective Dual Variety: A q-Analog of the Katz-Kleiman Formula.- Crofton Densities and Nonlocal Differentials.- On the Local Geometry of a Bihamiltonian Structure.- The Classical Polylogarithms, Algebraic K-Theory and ?F(N).- A Brief History of the Sporadic Simple Groups.- Vertex Operator Algebras and Operads.- Representations of the Quantized Function Algebras, 2-Categories and Zamolodchikov Tetrahedra Equation.- Formal (Non)-Commutative Symplectic Geometry.- Constructible Functions, Lagrangian Cycles and Computational Geometry.- Quantum Groups and Perverse Sheaves. An Example.- Linearly Recursive Sequences, Witt Algebras and Quantum Groups.- Complexes of Connected Graphs.