[PDF] Growth of the number of simple closed geodesics on hyperbolic



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The work of Maryam Mirzakhani - Harvard University

The work of Maryam Mirzakhani 18 August, 2014 Abstract Maryam Mirzakhani has been awarded the Fields Medal for her out-standing work on the dynamics and geometry of Riemann surfaces and their moduli spaces 1 Introduction Mirzakhani has established a suite of powerful new results on orbit closures



MaryamMirzakhani: 1977–2017

Maryam Mirzakhani’s Harvard PhD dissertation under Curt McMullen was widely acclaimed and contained al-ready the seeds of what would become her first three major papers All three of these results—a new proof of Witten’s conjecture, a computation of the volume of themodulispaceofcurves,andanasymptoticcountof



Growth of the number of simple closed geodesics on hyperbolic

Apr 11, 2004 · By Maryam Mirzakhani Contents 1 Introduction 2 Background material 3 Counting integral multi-curves 4 Integration over the moduli space of hyperbolic surfaces 5 Counting curves and Weil-Petersson volumes 6 Counting different types of simple closed curves 1 Introduction In this paper, we study the growth of sX(L), the number of simple closed



Maryam Mirzakhani (1977–2017) - Science

thesis so exceptional that it yielded publica-tion in three of mathematics’ most prestigious journals She joined Stanford University’s faculty of mathematics in 2009 after work-ing as a Clay Research Fellow and professor at Princeton University Mirzakhani studied the geom-etry and dynamics of surfaces Imagine a surface with more than



Maryam Mirzakhani (1977-2017) - University of Michigan

Maryam Mirzakhani (1977-2017) A profound thinker on the mathematics of abstract surfaces On 14 July, Maryam Mirzakhani, a luminary in pure mathematics, died of cancer at the age of 40 Her achievements had been most recently honored in 2014 by the Fields Medal, the most prestigious award in mathematics



/media/File:Maryam Mirzakhani 2014 - Current Science

Mirzakhani’s Ph D thesis was a mas-terpiece, in which she solved two long-standing problems ‘Either solution would have been newsworthy in its own right’, according to Benson Stanley Farb, a mathematician at the University of Chi-cago, but then Mirzakhani connected the two into a thesis described as ‘truly spec-tacular’



GEOMETRIC TRANSITIONS

Maryam Mirzakhani Approved for the Stanford University Committee on Graduate Studies Patricia J Gumport, Vice Provost Graduate Education This signature page was generated electronically upon submission of this dissertation in electronic format An original signed hard copy of the signature page is on file in University Archives iii



Fields Medallist Maryam Mirzakhani (1977–2017)

Curtis Tracy McMullen Her PhD thesis was a masterpiece In her thesis, Mirzakhani solved two longstanding problems “Either solution would have been newsworthy in its own right”, according to Benson Stanley Farb, a mathematician at the University of Chicago, but then Mirzakhani connected the two As a youngster, Maryam Mirzakhani wanted to



Interview with Research Fellow Maryam Mirzakhani

Maryam Mirzakhani, a native of Iran, is currently a professor of mathematics at Stanford She completed her Ph D at Harvard in 2004 under the direction of Curtis T McMullen In her thesis she showed how to compute the Weil-Petersson volume of the moduli space of bordered Riemann surfaces



The Master Artist of Curved Surfaces

In 2004, Mirzakhani proved several path breaking results in her thesis [3] Her thesis work was published in three papers in top mathematics journals [8, 9, 10] Each of these works is signif-on

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