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Explore the evolving relationship between mathematics and computational tools in this 55-minute presidential lecture where Fields Medalist Martin Hairer examines how computers and computations are transforming pure mathematical research. Discover through Hairer's personal research experiences the various ways computational methods are impacting fundamental mathematical questions and leading to the discovery of entirely new mathematical objects. Learn about the intersection of theoretical mathematics and digital computation, understanding how modern mathematicians are leveraging technology not just for calculations but for conceptual breakthroughs and the exploration of previously inaccessible mathematical territories. Gain insights into how computational approaches are reshaping mathematical thinking and opening new avenues for mathematical discovery in the 21st century.
Syllabus
Martin Hairer: Do Mathematicians Need Computers?
Taught by
Simons Foundation