Distribution of rational points and Kodaira dimension of fiber products. - How many rational points can a curve have?. - Quantum cohomology of rational surfaces. - Quantum intersection rings. - Mirror symmetry and elliptic curves. - A generalized Jacobi theta function and quasimodular forms. - Boundary behaviour of Hurwitz schemes. - Operads and moduli spaces of genus 0 Riemann surfaces. - Resolution of diagonals and moduli spaces. - The Chow ring of the moduli space of curves of genus 5. - The cohomology of algebras over moduli spaces. - Enumeration of rational curves via torus actions. - Cellular decompositions of compactified moduli spaces of pointed curves. - Generating functions in algebraic geometry and sums over trees. - Holomorphicity and non-holomorphicity in N = 2 supersymmetric field theories. - An arithmetic problem in surface geometry. - An orbifold partition of$$\bar M_g^n$$. - Moduli of curves with non-abelian level structure. - Q-structure of conformal field theory with gauge symmetries. - On the cohomology of moduli spaces of rank two vector bundles over curves. Language: English