A tour through Mirzakhani's work on moduli spaces of Riemann surfaces

2019/05/05 by Wright, Alex · 1 citation
#Algebraic Geometry (math.AG) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1905.01753

Abstract

We survey Mirzakhani's work relating to Riemann surfaces, which spans about 20 papers. We target the discussion at a broad audience of non-experts.

Cited by

• Local Weyl law and length-minimising loops on hyperbolic surfaces

Related

• Moduli of Riemann Surfaces, Transcendental Aspects
• Moduli spaces of hyperbolic surfaces and their Weil-Petersson volumes
• Moduli spaces of open strings have polylogarithmic Mirzakhani volumes
• Lectures and notes: Mirzakhani's volume recursion and approach for the Witten-Kontsevich theorem on moduli tautological intersection numbers
• Algebraic Surfaces and their Moduli Spaces: Real, Differentiable and Symplectic Structures