مريم ميرزاخاني
Maryam Mirzakhani
First Woman to Win the Fields Medal
Early Life & Education
Maryam Mirzakhani was born in Tehran, Iran, in 1977. Growing up, she was an avid reader who dreamed of becoming a novelist. Her mathematical gifts became apparent in secondary school, where she competed — and excelled — in national mathematics olympiads. She won back-to-back gold medals at the International Mathematical Olympiad in 1994 and 1995, earning a perfect score on the second occasion, cementing her reputation as one of Iran's brightest young mathematical minds before pursuing her undergraduate degree at Sharif University.
Life & Achievements
Maryam Mirzakhani was born on May 3, 1977, in Tehran, Iran, into a supportive family that encouraged her intellectual curiosity from an early age. As a child, she dreamed of becoming a writer, but her extraordinary talent for mathematics soon redirected her path. She won gold medals at the International Mathematical Olympiad in 1994 and 1995, achieving a perfect score in the latter competition — a remarkable feat that announced her arrival on the world mathematical stage.
She completed her undergraduate studies at Sharif University of Technology in Tehran before moving to the United States to pursue her doctorate at Harvard University, where she worked under the supervision of Curtis McMullen, himself a Fields Medal recipient. Her doctoral thesis, described as containing not one but three PhD-worthy results, addressed the geometry of Riemann surfaces and their moduli spaces, problems that had stumped mathematicians for decades.
After her doctorate, Mirzakhani held positions at Clay Mathematics Institute and Princeton University before joining Stanford University as a professor of mathematics in 2008. Her research explored the interplay between hyperbolic geometry, complex analysis, and dynamical systems, tackling questions about the shapes of surfaces and the paths traced on them.
In 2014, she was awarded the Fields Medal, the highest honor in mathematics, becoming the first woman and the first Iranian to receive this distinction. The citation praised her outstanding contributions to the dynamics and geometry of Riemann surfaces and their moduli spaces.
Tragically, Mirzakhani had been battling breast cancer since 2013. She passed away on July 14, 2017, at the age of 40, leaving the mathematical community in mourning. Her legacy endures through the barriers she shattered, the students she inspired, and the profound mathematical landscapes she opened for future exploration.
Key Discoveries & Contributions
- Formula for the volume of moduli spaces of hyperbolic surfaces
- Proof of the Witten conjecture via symplectic geometry of moduli spaces
- Classification of invariant measures for the SL(2,R) action on moduli spaces (with Alex Eskin)
- Counting closed geodesics on hyperbolic surfaces with new asymptotic estimates
Notable Works
- "Simple geodesics and Weil-Petersson volumes of moduli spaces (doctoral thesis, 2004)"
- "Ergodic theory of the earthquake flow (2008)"
- "Invariant and stationary measures for the SL(2,R) action on moduli spaces (with Alex Eskin, 2018)"
Famous Quotes
""The beauty of mathematics only shows itself to more patient followers.""
Life Lesson
Patience and passion can carry a person from a small dream to the summit of human knowledge.
Legacy
Mirzakhani permanently expanded the landscape of hyperbolic geometry and inspired generations of women and mathematicians worldwide.