# Maryam Mirzakhani

> Iranian mathematician (1977–2017)

**Wikidata**: [Q1771279](https://www.wikidata.org/wiki/Q1771279)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Maryam_Mirzakhani)  
**Source**: https://4ort.xyz/entity/maryam-mirzakhani

## Summary
Maryam Mirzakhani was an Iranian mathematician and university professor renowned for her groundbreaking work in topology, hyperbolic geometry, ergodic theory, and dynamical systems. She was the first woman and the first Iranian to win the Fields Medal, the most prestigious award in mathematics, in 2014.

## Biography
- **Born**: May 12, 1977, in Iran
- **Died**: July 14, 2017
- **Nationality**: Iranian, later also held U.S. citizenship
- **Education**:
  - Sharif University of Technology (BSc)
  - Harvard University (PhD, 2004)
- **Known for**: Pioneering contributions to the study of moduli spaces of Riemann surfaces, hyperbolic geometry, and dynamical systems
- **Employer(s)**:
  - Stanford University (Professor)
  - Princeton University (Postdoctoral Fellow)
- **Field(s)**: Mathematics (topology, hyperbolic geometry, ergodic theory, symplectic geometry, complex geometry, dynamical systems theory)

## Contributions
Maryam Mirzakhani made significant advances in several areas of mathematics:
- **Moduli Spaces of Riemann Surfaces**: Her PhD thesis and subsequent work provided deep insights into the geometry and dynamics of these spaces, solving long-standing problems.
- **Hyperbolic Geometry**: She developed new methods to study the behavior of geodesics on hyperbolic surfaces, contributing to the understanding of their asymptotic properties.
- **Ergodic Theory**: Her research connected ergodic theory with hyperbolic geometry, particularly in the study of dynamical billiards and the behavior of trajectories.
- **Dynamical Systems**: She explored the dynamics of complex systems, including the interaction between geometry and dynamics in moduli spaces.
- **Publications**: Authored multiple influential papers, including works on the growth rates of simple closed geodesics and the dynamics of the Weil-Petersson flow.

## FAQs
**What was Maryam Mirzakhani's most notable achievement?**
Maryam Mirzakhani was awarded the Fields Medal in 2014, becoming the first woman and the first Iranian to receive this honor. The medal recognized her outstanding contributions to the dynamics and geometry of Riemann surfaces and their moduli spaces.

**Where did Maryam Mirzakhani study and work?**
She earned her bachelor's degree from Sharif University of Technology in Iran and her PhD from Harvard University in 2004. She conducted postdoctoral research at Princeton University and later became a professor at Stanford University.

**What fields of mathematics did Maryam Mirzakhani specialize in?**
Her work spanned topology, hyperbolic geometry, ergodic theory, symplectic geometry, complex geometry, and dynamical systems theory. She was particularly known for her research on moduli spaces of Riemann surfaces.

**What awards did Maryam Mirzakhani receive?**
In addition to the Fields Medal, she received the Clay Research Award (2014), the Ruth Lyttle Satter Prize in Mathematics (2013), and the Blumenthal Award (2009). She was also recognized in *Nature*'s "10 People Who Mattered" list in 2014.

**What is the Maryam Mirzakhani Prize in Mathematics?**
Established in 1988, the Maryam Mirzakhani Prize in Mathematics is awarded by the U.S. National Academy of Sciences to honor exceptional contributions in mathematics, particularly by women.

**How did Maryam Mirzakhani influence the field of mathematics?**
Her work bridged multiple areas of mathematics, providing new tools and insights that advanced the study of geometric structures and dynamical systems. Her achievements inspired many, particularly women and young mathematicians from underrepresented backgrounds.

## Why They Matter
Maryam Mirzakhani's work revolutionized the understanding of geometric and dynamical systems, particularly in the study of moduli spaces and hyperbolic surfaces. Her research not only solved long-standing problems but also opened new avenues for exploration in mathematics. As the first woman to win the Fields Medal, she broke barriers and became a symbol of excellence and perseverance for women in STEM fields worldwide. Her legacy continues to inspire future generations of mathematicians, particularly in Iran and other regions where women are underrepresented in science.

## Notable For
- First woman and first Iranian to win the **Fields Medal** (2014).
- Recipient of the **Clay Research Award** (2014) and **Ruth Lyttle Satter Prize in Mathematics** (2013).
- Pioneering research in **moduli spaces of Riemann surfaces**, **hyperbolic geometry**, and **ergodic theory**.
- Professor at **Stanford University** and postdoctoral fellow at **Princeton University**.
- Member of prestigious academies, including the **National Academy of Sciences** and the **American Academy of Arts and Sciences**.
- Featured in *Nature*'s **"10 People Who Mattered"** in 2014.
- The **Maryam Mirzakhani Prize in Mathematics** is named in her honor.

## Body

### Early Life and Education
Maryam Mirzakhani was born on May 12, 1977, in Iran. She developed an early interest in mathematics and attended Sharif University of Technology in Tehran, where she earned her bachelor's degree. Her talent was recognized early, and she went on to pursue a PhD at Harvard University, completing her doctorate in 2004 under the supervision of Curtis McMullen, a Fields Medalist.

### Career and Research
After completing her PhD, Mirzakhani conducted postdoctoral research at Princeton University. In 2008, she joined Stanford University as a professor, where she continued her groundbreaking work until her passing in 2017.

Her research focused on the interplay between geometry and dynamics, particularly in the context of moduli spaces of Riemann surfaces. She made significant contributions to:
- **Hyperbolic Geometry**: Studying the behavior of geodesics and their asymptotic properties.
- **Ergodic Theory**: Connecting dynamical systems with geometric structures.
- **Dynamical Billiards**: Analyzing the trajectories of billiard balls in abstract geometric spaces.

### Awards and Recognition
Mirzakhani's work earned her numerous accolades, including:
- **Fields Medal (2014)**: Awarded for her contributions to the dynamics and geometry of Riemann surfaces.
- **Clay Research Award (2014)**: Recognizing her innovative research.
- **Ruth Lyttle Satter Prize in Mathematics (2013)**: For her work on moduli spaces.
- **Blumenthal Award (2009)**: From the American Mathematical Society.

She was also a member of several prestigious organizations, including the **National Academy of Sciences**, the **American Academy of Arts and Sciences**, and the **French Academy of Sciences**.

### Legacy and Influence
Mirzakhani's achievements transcended her mathematical contributions. As the first woman to win the Fields Medal, she became a role model for women in mathematics and science globally. Her work continues to inspire researchers in geometry, dynamics, and related fields.

The **Maryam Mirzakhani Prize in Mathematics**, established by the U.S. National Academy of Sciences, honors her legacy by recognizing outstanding contributions in mathematics, particularly by women.

### Personal Life
Maryam Mirzakhani passed away on July 14, 2017, after a battle with breast cancer. Her untimely death was a significant loss to the mathematical community, but her work and influence endure through her publications, students, and the ongoing impact of her research.

## References

1. [Maryam Mirzakhani becomes 1st woman to win Fields Medal. CBC News. 2014](http://www.cbc.ca/news/technology/maryam-mirzakhani-becomes-1st-woman-to-win-fields-medal-1.2734950)
2. [Maryam Mirzakhani. Encyclopædia Britannica Online](https://www.britannica.com/biography/Maryam-Mirzakhani)
3. Maryam Mirzakhani (1977-2017).
4. [Maryam Mirzakhani Is First Woman Fields Medalist](https://www.quantamagazine.org/maryam-mirzakhani-is-first-woman-fields-medalist-20140812)
5. [Maryam Mirzakhani, first woman to win Fields Medal, dies. 2017](http://www.seattletimes.com/nation-world/maryam-mirzakhani-first-woman-to-win-fields-medal-dies/)
6. [Source](http://www.seattletimes.com/nation-world/maryam-mirzakhani-first-woman-to-win-fields-medal-dies/)
7. [How to Do Math Like a Medal-Winning Genius. Bloomberg News. 2014](http://www.bloomberg.com/bw/articles/2014-08-13/maryam-mirzakhani-and-fields-medal-how-to-do-math-like-a-genius)
8. Ergodic Theory of the Earthquake Flow
9. [Report of the President to the Board of Trustees. 2008](https://news.stanford.edu/news/2008/april9/prezreport-040908.html)
10. [2014 Clay Research Awards. Clay Mathematics Institute. 2014](http://www.claymath.org/events/news/2014-clay-research-awards)
11. [Source](http://www.ams.org/notices/201304/rnoti-p489.pdf)
12. [Maryam Mirzakhani Receives 2009 Blumenthal Award. American Mathematical Society. 2009](http://www.ams.org/news?news_id=339)
13. [Stanford's Maryam Mirzakhani wins Fields Medal. 2014](http://news.stanford.edu/pr/2014/pr-fields-medal-mirzakhani-081214.html)
14. [Fields Medals 2014. International Mathematical Union](https://www.mathunion.org/imu-awards/fields-medal/fields-medals-2014)
15. 365 days: Nature's 10
16. Mathematics Genealogy Project
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18. [Source](http://www.nasonline.org/member-directory/deceased-members/20022806.html)
19. Maryam Mirzakhani, Only Woman to Win a Fields Medal, Dies at 40
20. [وبسایت رسمی مریم میرزاخانی](http://mmirzakhani.com/biography/)
21. [MacTutor History of Mathematics archive](http://www-history.mcs.st-andrews.ac.uk/Biographies/Mirzakhani.html)
22. [Maryam Mirzakhani, Stanford mathematician and Fields Medal winner, dies. 2017](http://news.stanford.edu/2017/07/15/maryam-mirzakhani-stanford-mathematician-and-fields-medal-winner-dies/)
23. MacTutor History of Mathematics archive
24. Freebase Data Dumps. 2013
25. La France savante
26. Quora
27. Virtual International Authority File
28. [Maryam Mirzakhani MBTI Personality Type: INTJ](https://www.personality-database.com/profile/29903/maryam-mirzakhani-mathematics-mbti-personality-type)