Iran and the United States · 1977-2017
Maryam Mirzakhani
Pronunciation: MAHR-yam meer-zah-KHAH-nee
An Iranian mathematician whose research connected geometry, topology, dynamical systems, and the behavior of curved surfaces.
Her publications, university records, interviews, and mathematical awards document her research career.
9-12, College
The person and the work
Biography
Maryam Mirzakhani became interested in mathematics as a student in Tehran and later studied at Sharif University of Technology and Harvard University.
Her research investigated the geometry and dynamics of surfaces, including moduli spaces and geodesics. In 2014 she became the first woman to receive the Fields Medal.
Mathematical contribution
What this hero added or preserved
Geometry of surfaces
Mirzakhani developed new ways to study curved surfaces and the spaces that classify their possible geometric structures.
Connections across fields
Her work linked hyperbolic geometry, topology, probability, and dynamical systems in surprising and productive ways.
Why this matters
The larger lesson
Advanced mathematics often grows by connecting subjects that once seemed separate. A geometric picture can reveal an algebraic rule, a probability pattern, or a dynamic process.
Place the work in time
Timeline
- 2004
Doctorate completed
Mirzakhani completes doctoral work at Harvard University.
- 2014
Fields Medal awarded
She becomes the first woman to receive the Fields Medal.
Key idea
Shortest paths on curved surfaces
A geodesic is the locally shortest path allowed by a surface’s geometry.
On a sphere, great-circle routes play the role that straight lines play on a flat plane.
Try it yourself
Compare flat and curved routes
Explain why the shortest airline route on a globe can look curved on a flat map.
- Recognize that the globe is a curved surface.
- Identify a great-circle route.
- Notice that map projection distorts the route’s appearance.
Show the answer
The route is geodesic on the sphere, but projecting the sphere onto a plane can make it appear curved.
Math at work
Curved geometry appears in models of space
Scientists use non-flat geometry in relativity, navigation, material surfaces, data analysis, and models with complex constraints.
Keep curiosity alive
A little-known fact
Mirzakhani often drew large diagrams and described research as a long process of exploring connected pictures and ideas.
Advanced geometry is only about complicated drawings.
Modern geometry combines rigorous structures, algebra, topology, dynamics, and proof to study spaces of many kinds.
Keep exploring
Connected learning paths
Related math terms
- Geodesic
- Topology
- Hyperbolic geometry