The Breakthrough Prizes is awarded in three categories: Life Sciences, Fundamental Physics and Mathematics, in recognition of great scientific advance.

This year, the Breakthrough Prize in Mathematics was awarded to Belgian mathematician Jean Bourgain, for his “multiple transformative contributions to analysis, combinatorics, partial differential equations, high-dimensional geometry and number theory”.

He has published, on average, 10 papers a year tackling some of the most challenging problems in a range of mathematical fields. For example, his most recent work is on the **decoupling theorem:** whilst Pythagoras showed that the length of the two shorter sides of a right-hand triangle are related to the hypotenuse, the decoupling theorem, proven by Bourgain and Ciprian Demeter, shows a similar relationship in the superposition of waves.

*“It is of course an immense honour for me to be awarded the Breakthrough Prize and also an occasion to thank all those who helped me along my career. Over the years I have been fortunate to interact with several truly exceptional individuals who introduced me to different subjects and from whom I learned a lot. Collaborations on all levels played an important part in my work and are greatly valued. Appointments at research institutions such as the Institut des Hautes Études Scientifiques in Bures/Yvette (France) and the Institute for Advanced Study in Princeton provided ideal conditions for a full dedication to mathematics. I am most grateful for their trust. Last but not least, thanks to my family for their love and continuous support over the years.” – *Jean Bourgain

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