Summary

  • Maryam Mirzakhani transformed the field of hyperbolic geometry as a young mathematics graduate, developing new techniques for studyingshapes that are curved in the shape of saddles.
  • Mirzakhani was not able to pursue her work on these exotic shapesbefore her death.
  • Now mathematicians Nalini Anantharaman and Laura Monk havebuilt on her work to prove a long-standing conjecture about hyperbolicsurfaces.
  • They show that most hyperbolic surfaces have a particularproperty that experts have long suspected was common.
  • Anantharaman and Monk picked up the thread of Mirzakhani’s researchand hope to unravel more of the mysteries of hyperbolic geometry.
  • Their paper is a “landmark result,” said one mathematician.

By Joseph Howlett

Original Article