This special joint colloquium will explore the work behind three of the four Fields medals awarded in 2014.
Each presentation will last for approximately half an hour, including questions. They will be accessible to both mathematics and physics students.
Afternoon tea will follow.
This colloquium will be held in Parnell (07) 234 at 3–4:30 pm.

Please also see our previous presentation by Dr Tom Stace (UQ) for more information about the Fields medallist Artur Avila.

Life and Work of Maryam Mirzakhani
Dr Masoud Kamgarpour, UQ
In 2014 Maryam Mirzakhani received the Fields Medal, becoming the first woman to win the most prestigious prize in mathematics. She has made outstanding contributions to the dynamics and geometry of Riemann surfaces and their moduli spaces. We shall give a brief overview of her life and work.

The Geometry of Numbers
Dr Victor Scharaschkin, UQ
In 2014 Manjul Bhargava was awarded a Fields Medal for developing powerful new methods in the geometry of numbers, by which he obtained major new results concerning the number of rational points on curves. We shall give a brief survey of some of his work.

Regularity Structures for Stochastic PDEs
Dr Thomas Taimre, UQ
Martin Hairer was awarded the Fields Medal in 2014 “for his outstanding contributions to the theory of stochastic partial differential equations, and in particular for the creation of a theory of regularity structures for such equations.” This talk provides a conceptual overview of his theory of regularity structures, which enable one to give meaning to certain nonlinear (in general ill-posed) stochastic partial differential equations. For example, the theory covers the one-dimensional Kargar–Parisi–Zhang (KPZ) equation, which arises as a natural model for the evolution of the profile of a growing interface.

Dr Masoud Kamgarpour, Dr Victor Scharaschkin & Dr Thomas Taimre, UQ – The Fields Medals 2014 from School of Mathematics & Physics on Vimeo.