Front Matter
Hypergeometric Functions, from Riemann till Present
Frits Beukers
Picard-Fuchs Uniformization of Modular Subvarieties
Brent Doran, Charles F. Doran, and Andrew Harder
Poincar′e’s Path to Uniformization
Connemara Doran
Exploring Modular Forms and the Cohomology of Local Systems on Moduli Spaces by Counting Points
Gerard van der Geer
Moduli Spaces of Compact Riemann Surfaces: Their Complex Structures and an Overview of Major Results
Lizhen Ji
The Morrison-Kawamata Cone Conjecture and Abundance on Ricci Flat Manifolds
Vladimir Lazi′c, Keiji Oguiso, and Thomas Peternell
Conformal Geometry and the Painlev′e VI Equation
Chang-Shou Lin
Calabi-Yau Metrics: Mirror Symmetry, Hitchin Systems and Instanton Corrections
Wenxuan Lu
Quasiconformal Mappings, from Ptolemy’s Geography to the Work of Teichm¨uller
Athanase Papadopoulos
Riemann-Hilbert Correspondence, Irregular Singularities and Hodge Theory
Claude Sabbah
Krichever-Novikov Type Algebras and Wess-Zumino-Novikov- Witten Models
Martin Schlichenmaier
Moduli of Canonically Polarized Manifolds, Higher Order Kodaira-Spencer Maps, and an Analogy to Calabi-Yau Manifolds
Georg Schumacher
Calabi–Yau Operators
Duco van Straten
A Survey on Toric Mirror Symmetry
Hsian-Hua Tseng
Dynamical Systems on Analytic Manifolds of Quadratic Differentials: Chapter I, F-Structures
William A. Veech
Aspects on Calabi–Yau Moduli
Chin-Lung Wang
Degeneration of Ricci-flat Calabi-Yau Manifolds and Its Applications
Yuguang Zhang
Mirror Symmetry for Plane Cubics Revisited
Jie Zhou
