Maryam Mirzakhani – First Woman to Win Fields Medal in Math

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August 20, 2025

Maryam Mirzakhani remains one of the most inspiring figures in the history of mathematics. In 2014, she became the first woman and the first Iranian to receive the prestigious Fields Medal, often referred to as the “Nobel Prize of Mathematics.” Her groundbreaking contributions to geometry and dynamical systems not only reshaped the field but also broke barriers for women in STEM worldwide.

Early Life and Education

Maryam Mirzakhani was born on May 12, 1977, in Tehran, Iran. From a young age, she displayed a remarkable talent for problem-solving and logical thinking. She attended the Farzanegan School, part of Iran’s National Organization for Development of Exceptional Talents (NODET).

Her mathematical brilliance first gained international recognition when she won gold medals at the International Mathematical Olympiad in 1994 and 1995, scoring a perfect 42 out of 42 points in the latter year. This achievement marked her as one of the brightest young mathematicians of her generation.

Mirzakhani pursued her undergraduate studies at Sharif University of Technology in Tehran before moving to the United States for graduate education. She earned her Ph.D. in mathematics from Harvard University in 2004 under the supervision of Curtis McMullen, a Fields Medalist himself.

Academic Career and Research Contributions

Maryam Mirzakhani’s research focused on hyperbolic geometry, Riemann surfaces, and dynamical systems—areas of mathematics that explore the properties of curved surfaces and complex structures.

Her most celebrated work involved developing new ways to calculate the volumes of moduli spaces of Riemann surfaces, which has implications in theoretical physics, particularly in string theory. She also made significant advancements in understanding billiard trajectories within polygons and dynamics on moduli spaces.

Mirzakhani’s creativity lay not only in solving complex problems but in connecting seemingly unrelated areas of mathematics, opening new pathways for exploration.

Winning the Fields Medal

In 2014, Maryam Mirzakhani received the Fields Medal at the International Congress of Mathematicians in Seoul, South Korea. She was honored for “her outstanding contributions to the dynamics and geometry of Riemann surfaces and their moduli spaces.”

This recognition was historic—Mirzakhani was the first woman to win the award since its establishment in 1936. Her achievement shattered a longstanding gender barrier in mathematics, inspiring countless women and girls to pursue careers in math and science.

Legacy and Inspiration

Beyond her remarkable research, Maryam Mirzakhani was known for her humility and deep passion for mathematics. She described her work as “like being lost in a jungle and trying to use all the knowledge you can to create new paths.”

Tragically, Mirzakhani’s life was cut short when she passed away on July 14, 2017, at the age of 40 after battling breast cancer. Despite her untimely death, her influence continues to resonate across the academic and scientific world.

Today, she is celebrated not only as a brilliant mathematician but also as a role model who proved that persistence, creativity, and passion can overcome barriers of gender and geography.

Conclusion

Maryam Mirzakhani’s story is one of groundbreaking achievement and inspiration. As the first woman to win the Fields Medal in mathematics, she broke through centuries of gender inequality in the field and left behind a legacy of intellectual brilliance. Her contributions continue to shape mathematical research and inspire new generations of mathematicians worldwide.

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