Mahler's measure and series of hypersurfaces ; On the modularity of Calabi-Yau threefolds containing elliptic ruled surfaces Appendix A. A Modularity Criterion for Integral Galois Representations and Calabi-Yau Threefolds ; Arithmetic mirror symmetry for a two-parameter family of Calabi-Yau manifolds ; A rational map between two threefolds ; A modular non-rigid Calabi-Yau threefold ; Arithmetic of algebraic curves and the affine algebra _1^{(1)} ; Mahler measure variations, Eisenstein series and instanton expansions ; Mahler measure, Eisenstein series and dimers ; Mirror symmetry for zeta functions with appendix ; The series of Calabi-Yau orbifolds of CM type Appendix B. The series of Cubic Hypersurface Fourfolds ; Integral cohomology and mirror symmetry for Calabi-Yau 3-folds ; The real regulator for a product of surfaces ; Derived equivalence for stratified Mukai flop on (2,4) ; A survey of transcendental methods in the study of Chow groups of zero-cycles ; Geometry and arithmetic of non-rigid families of Calabi-Yau 3-folds ; Questions and examples ; Some results on families of Calabi-Yau varieties ; Boundary RG flows of mathcal {N}=2 minimal models ; Central charges, symplectic forms, and hypergeometric series in local mirror symmetry ; Extracting Gromov-Witten invariants of a conifold from semi-stable reduction and relative GW-invariants of pairs ; Generalized special Lagrangian torus fibrations for Calabi-Yau hypersurfaces in toric varieties II ; Differential equations, mirror maps and zeta values ; Mirror symmetry and integral variations of Hodge structure underlying one-parameter families of Calabi-Yau threefolds ; Monodromy calculations of fourth order equations of Calabi-Yau type ; Open string mirror maps from Picard-Fuchs equations ; Problems