Front Matter
What One Should Know About Riemann But May Not Know?
Lizhen Ji, Shing-Tung Yau
Riemann’s Influence in Geometry, Analysis and Number Theory
Sir Michael F. Atiyah
Riemann’s Saddle-point Method and the Riemann-Siegel Formula.
M. V. Berry
The Period Matrices and Theta Functions of Riemann
Ching-Li Chai
Riemann’s Hypothesis
Brian Conrey
Extension of Holomorphic Functions Defined on Non Reduced Analytic Subvarieties
Jean-Pierre Demailly
Bundles with Extra Geometric or Dynamic Structure
F. T. Farrell
The Theory of Shock Waves: From Riemann through Today
James Glimm, Dan Marchesin, and Bradley Plohr
Riemann’s Existence Theorem
David Harbater
The Historical Roots of the Concept of Riemann Surfaces
Lizhen Ji
The Story of Riemann’s Moduli Space
Lizhen Ji
Riemann and the Modern Concept of Space .
J¨urgen Jost
Survey on Analytic and Topological Torsion .
Wolfgang L¨uck
The Riemann Minimal Examples
William H. Meeks III, Joaqu′?n P′erez
Manifolds of Mappings and Shapes
Peter W. Michor
The Riemann Hypothesis over Finite Fields: From Weil to the Present Day .
James S. Milne
The Riemann-Hurwitz Formula
Frans Oort
Early History of the Riemann Hypothesis in Positive Characteristic
Frans Oort, Norbert Schappacher
Riemann’s Influence in Number Theory from a Computational and Experimental Perspective
Michael Rubinstein
Riemann Problem and Shock Capturing Schemes .
Chi-Wang Shu
A Discourse on the Measurable Riemann Mapping Theorem &Incompressible Fluid Motion
Dennis Sullivan
The Mertens Conjecture
Herman J.J. te Riele
Hodge Structures, Coniveau and Algebraic Cycles
Claire Voisin
