THE CONTRIBUTION OF MATHEMATICIAN WHO YOU LIKE

PARKAVI E.

II BSC MATHEMATICS

SRIMAD ANDAVAN ARTS AND SCIENCE COLLEGE.

MY FAVOURITE MATHEMATICIAN

MARYAM

MIRZHAKANI

PERSONAL INFORMATION

• BORN : MAY 1977, TEHRAN, IRAN.

• SPOUSE: JAN VONDRAK

• PARENTS: AHMAD MIRZHAKANI

• NATIONALITY: AMERICAN, IRANIAN

• Residence: Palo Alto, California,

United States

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.

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|

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.

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

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.

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.

AWARDS

• Fields medal 2014• Clay research award 2014• Bluementhal award 2009• International mathematical olympiad 1994 and

1995.

First women to receive fields medal