Maryam Mirzakhani was an Iranian mathematician who made significant contributions to the theory of moduli spaces of Riemann surfaces and hyperbolic geometry. She was the first woman to be awarded the Fields Medal, which is often described as the "Nobel Prize of mathematics". Some of her major achievements included proving the prime number theorem for geodesics on hyperbolic surfaces and providing new insights into questions about the geometry of moduli spaces. She attended Sharif University of Technology and Harvard University and conducted research as a professor at Princeton University and Stanford University.

1. THE CONTRIBUTION OF
MATHEMATICIAN WHO YOU LIKE
PARKAVI E.
II BSC MATHEMATICS
SRIMAD ANDAVAN ARTS AND
SCIENCE COLLEGE.

2. MY FAVOURITE MATHEMATICIAN
MARYAM
MIRZHAKANI

3. PERSONAL INFORMATION
• BORN : MAY 1977, TEHRAN, IRAN.
• SPOUSE: JAN VONDRAK
• PARENTS: AHMAD MIRZHAKANI
• NATIONALITY: AMERICAN, IRANIAN
• Residence: Palo Alto, California,
United States

4. ALUMA MATTER
• School: Tehran, Farzanegan at NODET.
• Alma Matter: Sharif University Of Technology,
• Harvard University.
• Institution: Princeton University,
Stanford University.
• Thesis: Simple Geodesics On Hyperbolic Surfaces
the Volume Of The Moduli Space Of Curves (2004)
• Awards: Blue menthal Award, Clay Research Award,
Fields Medal.

5. Contribution to maths
• Theory of moduli spaces of Riemann Surfaces.
• Geometric structures on surface and their deformations.
• Techimullertheory, symplletic geometry
• Hyperbolic geometry, ergodic geometry
• complex analysis, topology, and dynamics|

6. Her major contribution
• Bern-hard Riemann - the importance of abstract
Surfaces.
• Riemann's insights understood more than 100
years ago that such surfaces can be classified
topologically.
• Number is called the genus of the surface.
• Riemann surface when it is endowed with an
additional geometric structure.
• Riemann can be proved also with hyperbolic geometry.

7. Her Major Contribution
• Geodesics on hyperbolic surfaces.
• prime number theorem for geodesics.
• the growth of the number of geodesics of length at most
L is no longer exponential in L but is of the order of L6g-
6.
• Moduli space has a very intricategeometry of its own

8. Her Major Contribution
• new insights into other questions about moduli space.
• new and unexpected proof of a conjecture of Edward
Witten.
• Mirzakhani's work linked Witten's deep conjecture about
moduli space
• Mirzakhani and her co-workers have proved prime
number theorem for closed geodesics.

9. Her Major Contribution
• Mirzakhani, together with Alex Eskin and, in part, Amir
Mohammadi, made a major breakthrough in
understanding another dynamical system on moduli
space
.
• complex geodesics and their closures in moduli space
are in fact surprisingly regular, rather than irregular or
fractal.
• its complexities and inhomogeneity, moduli space has
often seemed impossible to work on directly.

10. AWARDS
• Fields medal 2014
• Clay research award 2014
• Bluementhal award 2009
• International mathematical olympiad 1994 and
1995.

12. First women to receive fields medal