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An interview with Sir Timothy Gowers

11 January 2023
  • Quantitative Research

Sir Timothy Gowers, Professeur titulaire of the Combinatorics chair at the Collège de France and Fields Medal recipient, is one of the world’s foremost mathematicians.

As part of the G-Research Distinguished Speaker Series, Sir Timothy was one of three speakers at the 2022 Computer Guided Mathematics Symposium.

Before taking to the stage, we spoke to Sir Timothy about his love of mathematics, his focus on Combinatorics, and his current work on the process by which human beings solve mathematics problems.

The long-term goal for Sir Timothy’s current work is to enable computers to replicate what mathematicians do, something he discussed in-depth during his talk, and the subsequent panel discussion, with Alex Davies (DeepMind) and Kevin Buzzard (Imperial College).

What is mathematics?

Sir Timothy’s talk at the Computer Guided Mathematics Symposium focused on Automatic Theorem Proving.

“I think the take home my message from my talk…would be that things are going to change quite a lot, as a result of efforts put in to automatic theorem proving,” said Sir Timothy.

“In the extreme, it might go as far as putting us [mathematicians] out of business, because computers can just do it better than we can.”

An interview with Kevin Buzzard
  • Quantitative Research
  • 11 Jan 2023

Kevin Buzzard is a British mathematician and professor of Pure Mathematics at Imperial College London. As part of the G-Research Distinguished Speaker Series, Kevin Buzzard was one of three speakers at the 2022 Computer Guided Mathematics Symposium.

Read more

An interview with Sir Timothy Gowers: What is Mathematics?

My love of mathematics started, I suppose, at an early age. It was always at school, one of the subjects that I liked best, and I think at each stage where the opportunity came to specialize a bit more, um, I, maths was always there in the mix until, by the end, it was the only thing that was left in the mix. The branch of mathematics that I'm involved in is combinatorics, which is sometimes also, um, referred to as discreet mathematics. Um, I like to try to solve problems that have very simple statements, problems that draw you in immediately, that you don't have to have a lot of expertise, at least to understand the question, but the answers are often very hard to find, so simple to understand, difficult to solve. Those are the kinds of problems that really appeal to me. I've recently, um, been given a grant by an, an organization called the Institute to create a a team. What we're trying to do in a nutshell is examine very, very carefully the process by which human beings manage to solve mathematics problems and find proofs of serums and that kind of thing. Having done that to try to understand it well enough that we can program computers to do what we do. I've done some work in this in the past, so I know that at least some progress in this direction is possible. How much we'll be able to do over the next three years, which is the duration of the project, at least to start with, I don't know, but I'm confident we'll be able to push the boundaries of, of the state, of the art, at least to some extent. For a long time I've been active on social media in one way or another. I think it is quite important for mathematicians to do at least some of this, maybe not all mathematicians, but at least some, partly just to show people that, um, mathematics is a worthwhile endeavor. Um, and also partly because mathematicians have a particular perspective on the world. And, um, so when, for example, something major happens that has a mathematical component, such as an obvious example, the pandemic recently, there are things that can be said and things that I, I think mathematicians have a role to play in communicating an understanding of the mathematical issues that arise to a wider public. Tonight I'm going to talk about the area of automatic theorem proving, which is very closely connected with the, the theme of the entire event. I think the, um, take home message from my talk tonight will be that, um, things are going to change quite a lot as a result of, um, efforts put into automatic. They're improving in the extreme, it might go as far as putting us outta business because computers can just do it better than we can. If that's gonna happen, the, the timescale of which it happens is very uncertain, and estimates vary from 10 years to 200 years. But, um, the fact that some kind of change will happen, I think, and some quite disruptive change, I think is, is fairly clear. Um, and I think it's not just, you know, if you're not a mathematician, maybe you don't care too much about, uh, mathematicians doing their own research, but I think mathematics is a very important, uh, or mathematical research is an important toy problem for much more general artificial intelligence. And so I think the message would be that this is a, a fascinating area and one that could have a huge impact in the future.
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G-Research Distinguished Speaker Series

Throughout the year, we host a number of speakers as part of G-Research’s Distinguished Speaker Series.

We pride ourselves on our learning environment, which gives people the opportunity to develop personally and professionally within their roles, and our Distinguished Speaker Series is central to that.

We invite global experts in their fields to discuss their cutting-edge work with an audience of G-Research employees and guests, giving attendees the chance to learn from the best.

Interested in joining future Distinguished Speaker Series events? Sign-up now

Want to watch the talks, panel discussion and interviews from our Computer Guided Mathematics Symposium? Watch here

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