 But when I received the offer to come to the IGS as a permanent professor, I was actually just completely shocked, because I never even thought to dream that one day I could have such a position, which I feel gives absolutely perfect working conditions for a research mathematician such as myself. And I want to thank the people at the IGS for their confidence in giving me this honor, which I take as an opportunity to do the best work that I possibly can. And I'm so I'm extremely grateful to them as well as to Philippe and Claire, Lys Tondeur and James and Marilyn Simons for their donation, which allows the creation of this chair that I am now holding. And I'm particularly happy that the chair carries the name of Jean-Pierre Bourguignon, who is a renowned mathematician and who has made also so many important contributions to this institution, which is now my new working home. So I already arrived, I already started work here last April, and I feel that I'm getting going, things are going well. So on the one hand, so my interests in mathematics are on the one hand quite close to those of various other professors who have been here. Notably, I feel a particularly close personal connection to Alexandre Kortondik and Maxim Konsevich, who is still a permanent professor here. They're both actually mathematical heroes of mine, and it's extremely humbling to be on the same list as them on any list whatsoever. Yes, but I also believe that I bring certain new directions to the Institute that I hope to pursue in the coming years. So I would just like to say a little bit about what I've been engaged in since I arrived in April. In fact, the conference that we had on Friday that launched this chair does, I think, a pretty good job of representing my mathematical interests. So we had four talks. The first talk was by Tomer Schlank, who is a homotopy theorist who recently did some remarkable work. Well, a joint with Robert Berkland and Ishaan Levy and Jeremy Hahn disproving what was known as the telescope conjecture. And what they've really done is change our entire conception about what stable homotopy theory looks like. I think it's really exciting, and it was great to hear Tomer talk about it. And after that, we had a talk by, well, I actually forget the order of the talks, but maybe it's not so matter. At some point, we had a talk by Artur Salzar and Abras, who is doing some fantastic work in the foundations of pietic geometry and really deepening our understanding of pietic geometry and things like the pietic Langlands program. And then we had a really, really interesting talk by Vincent Piloni, who has made remarkable progress with his collaborators on modularity questions. So this is really hardcore number theory. But they introduced some really interesting new ideas, which let them go much further than had been done before. And then we had Peter Schulze give a rather fantastic, and I mean that in both senses of the word, talk about how the theory that he and I have been developing recently should have something to say about the theory of motives, which was a subject very dear to the heart of well, subject invented in very dear to the heart of Colton D, who worked here before. So it's broadly speaking, a homotopy theory, algebraic topology, algebraic geometry, analytic geometry, topology, a broad range of subjects that I'm interested in. And one other thing that I've been occupied with over the past year is giving a course, a rather long course together with Peter Schulze. It's kind of an interesting new format where we alternate giving two hour lectures on Wednesdays and Fridays. And we have local audiences here at the IHS, but also in Bonn, where Peter is lecturing in its broadcast simultaneously. And on YouTube, many people are following the lectures, thousands of people are watching them and trying to learn the theory that we've been developing, which is a theory called condensed mathematics, which we're using to provide new foundations for analytic geometry. And this is something that many people have been learning. We're very, very grateful that many people have made the attempt to learn this theory of we've been developing it and not just learn it, but have already been applying it to a number of interesting problems. In fact, this conference I mentioned three of the talks were about applications of the theory that Peter and I had been what used the mathematics that Peter and I have been developing to really push their field further. So I've been doing that course with Peter, which is a lead up to writing down all of the writing down what we know in the form of a book so that we can communicate and make it easier for people to understand what we've been what we've been working on because I do believe it is quite fundamental that we're creating a language that didn't exist before and this was what I so what I realized needed to be done many years ago I was running into mathematical objects which I could see existed, but there was no language to describe them and now we feel there is and I think this is important. And I've also had several visitors for example Robert Birkeland who I mentioned earlier came here for a week and we managed to prove a rather famous conjecture in in in the field so we're very happy about that. I don't usually go around proving conjectures but in this case it was just a good way to test whether we had been doing that whether the community had been doing good work developing techniques in the field and it turned out they had because we could. We could prove this conjecture that was nice. And I have a long term collaborator Mika Larasin Jensen who's been visiting here and I've been we've been developing a good theory of unstable algebraic k theory. And that's been going quite well so I'm very pleased with my first almost a year here and I am dedicated to continuing and doing the best I can I feel it's I have to because I've been given this amazing opportunity and I'm looking forward to trying. Thank you.