“I don’t know what the big application of mathematics will be in the 21st century, but in the 20th century the big application was the computer”

00:00 Introduction
00:05 The jury has awarded you this prize for opening up “new perspectives” in the field of mathematical analysis. Among your many contributions, which one would you single out as having achieved this advance, and what new perspectives have your investigations opened?
01:55 You are regarded as one of the most versatile mathematicians working today, given the wide range of different areas in which you have worked. How do you choose the problems you decide to tackle, and what motivates you to solve them?
02:45 How many problems have you solved throughout your career, and which one has been your favorite?
03:28 You have had a long-standing relationship with mathematicians in Spain. Could you tell us about your collaboration with Spanish researchers, particularly with regard to your work on fluid dynamics?
04:37 Finally, how would you define the importance of mathematics as a basic science for society? In particular, how would you defend it against those who prioritize research funding based on its direct technological applications?