Mirzakhani's moduli space volumes and simple geodesics
Volúmenes de espacios de moduli y geodésicas simples (Mirzajani)
- Date
- 2004-2014 · confidence high
- Place
- Harvard University, Cambridge, Massachusetts, United States
- Credited to
- Maryam Mirzakhani
- People
- 👤 Maryam Mirzajani1977–2017
- Field
- Knowledge & symbols
What was discovered
She derived a recursion for the volumes of the moduli spaces of hyperbolic surfaces, which allowed her to count how many simple closed geodesics of length less than L exist on a surface and to give a new proof of Witten's conjecture.
Mirzakhani trained in Tehran (Farzanegan School and Sharif University) and worked at Harvard, Princeton and Stanford. The first woman and the first Iranian to win the Fields Medal.
What it led to
- dynamics on moduli spaces (the 'magic wand' theorem, with Eskin and Mohammadi)
- topological recursion in mathematical physics
- Fields Medal 2014