ENSPIRING.ai: ENSPIRING.org: Jim Simons - A Short Story Of My Life And Mathematics 2022

Jim Simons shares the story of his life, detailing his extensive career in mathematics, his groundbreaking work in Differential geometry, and his transition into the world of hedge funds that led to significant wealth accumulation. He also highlights his extensive philanthropic efforts, including the establishment of a foundation focused on science.

Main takeaways of the video:

This video provides valuable insights into the life of one of the most successful mathematicians and investors, offering a unique perspective on how mathematical principles can be applied to solve real-world problems and generate substantial financial success. It is also deeply inspiring, showing how Simons has chosen to give back to society through substantial charitable contributions, particularly in science and education.

What are the main take-aways of the video?

Due to copyright restrictions, we are unable to transcribe this video and add subtitles. Therefore, we are sharing the original video here. Please remember to turn on the CC button to view the subtitles.

Study Notes on Key Vocabulary and Common Phrases:

1. Paradox [ˈpærəˌdɑːks] - (noun) - A statement or situation that seems contradictory or opposed to common sense and yet is perhaps true.

2. Abstract algebra [ˈæb.strækt ˈæl.dʒə.brə] - (noun) - A branch of mathematics dealing with algebraic structures like groups, rings, and fields.

3. Differential geometry [ˌdɪf.əˈren.ʃəl dʒiˈɒm.ə.tri] - (noun) - The branch of mathematics that uses techniques of algebra and calculus to study problems involving curves and surfaces.

4. Sabbatical [səˈbæt.ɪ.kəl] - (noun) - A period of paid leave granted to a university teacher or other worker for study or travel, traditionally every seventh year.

5. Theorem [ˈθɪər.əm] - (noun) - A general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truths.

6. Counterexample [ˈkaʊn.tər.ɪɡˌzɑːm.pəl] - (noun) - An example that disproves a proposition or theory.

7. Metric [ˈmɛt.rɪk] - (noun) - A standard of measurement, often used in mathematics and science to refer to a particular system or a specific type of analysis.

8. Minimal surface [ˈmɪn.ɪ.məl ˈsɜː.fɪs] - (noun) - In mathematics, a surface that locally minimizes its area for a given boundary.

9. Fields medal [fiːldz ˈmɛd.əl] - (noun) - An international medal awarded every four years to up to four mathematicians under 40 years of age, considered one of the highest honors in mathematics.

10. Hedge fund [hɛdʒ fʌnd] - (noun) - An investment fund that pools capital from accredited investors or institutional investors and invests in a variety of assets, often with complex portfolio-construction and risk management techniques.

Jim Simons - A Short Story Of My Life And Mathematics 2022

Well, the short talk is this. I did a lot of math. I made a lot of money, and I gave almost all of it away. That's the story of my life. Now, it's a good story, but it's short.

So when I was a little boy, I like math in the sense that I like to. When I was three or four or something, like to double the numbers to 4816, 32, etcetera, I got up to 1024, and I said, enough of that. But I like doubling numbers. And when I was a little boy also, I was in my father's. My father was driving me, and he said he has to go to a gas station and get gasoline. I said, why do you need to get gasoline? He says, well, the car needs gasoline. I said, but you shouldn't need to have to get gasoline. You could just use half of what you now have, and then half of that and half of that and half of that, and you'll never run out of gas. Well, that was called Zeno's Paradox. But of course, it didn't occur to me that we wouldn't get very far either. But there it was. But I did always, always like math.

And I went to mitzvah, and I took a graduate course right in my freshman year, which was puzzling to me. It was Abstract algebra. But during this summer, I figured it all out. I got a book, I figured it all out, and then took a lot of math courses at Mitz. And, well, the field that I really liked was called Differential geometry. How many of you have ever heard of Differential geometry? Okay, the old folks know about Differential geometry. Well, Differential geometry is a study of curved spaces in many dimensions, typically with a Metric on it, so you can see how far apart any two points would be. And I really liked that field, and, well, I went to Berkeley to get my. Well, I graduated MIT in three years, so I stayed as a graduate student for a year. And then they told me, you should go to Berkeley. And I said, why should I go to Berkeley? They said, well, the great man in your field, Differential geometry, a man named Chern, is just going to Berkeley, and you should work under Chern. So I said, okay.

So I went out to Berkeley. Regrettably, Chern was taking a Sabbatical leave that year, and so he wasn't there. So I worked with someone else, and that worked out fine. It was interesting working with this guy. I came up with a little Theorem, and I showed it to him, and he said, oh, that's a nice little Theorem. It puts in mind an open question which I won't really describe to you, but don't work on that question. I said, why? He said, because it's too tough. This one worked on it and tried, and that one worked on it and tried. Well, of course, that just sort of got me going. And I said, okay, but I'm going to work on this problem.

And, well, I did, and I solved the problem, and I was very pleased with myself and went back to teach at MIT and Harvard. But for reasons which I won't go into, I needed money, and I had borrowed money to invest in a company with some friends of mine, and I needed to pay it back. But there was a place in Princeton called the Institute for Defense analyses, which was a highly classified place under the ages of the government, the Defense department. And what we're supposed to do is break Russian codes. Well, that was an interesting challenge. I liked the work. They told us you could do your own mathematics up to half your time, but the other half you had to do, you know, this code cracking business? And, well, during that period, I was very interested in an area of mathematics called minimal surfaces. Does any of you know what a Minimal surface is? Well, someone must know what a Minimal surface is. Okay. A Minimal surface is a surface of minimal area with respect to its boundary. So imagine taking a wire frame, just any closed frame, dip it in soap suds, and then take it out, and there'll be a film that is bounded by this thing and that film, that soap film has less area than any other surface with that boundary.

So that's a minimal. That's a Minimal surface. And the first fields prize winner back in maybe 1905, had proved that any such boundary would have a Minimal surface, just one, and it would be smooth. It wouldn't have any points or anything like that. It would just be a nice, smooth surface. And as I said, he won the Fields medal for that. And so I got interested in that area while I was there at the Institute for Defense analyses. So, in my spare time, which was quite a lot, I worked on that problem, because in higher dimensions was an open problem. Someone had done it in one dimension higher. So that would be a three dimensional surface with a two dimensional boundary in four dimensional space, and, well, but that's where it stopped. So I worked on that problem in higher dimensions and was lucky enough to solve the problem through ambient dimension seven. But in dimension eight, my proof didn't work, and I constructed what I thought was a Counterexample. A Counterexample is something that you think you've proved a Theorem but someone comes along with an example that shows you didn't prove that Theorem because this is a Counterexample. So I found what I thought was a Counterexample. I couldn't prove it, but a couple years, the paper got published. It was a pretty good paper, actually. But a few years later, a couple of mathematicians, one of whom was named Bombieri, and showed that my Counterexample was really a Counterexample. So that killed the problem altogether.

Well, at a certain point, I came to Stony Brook University, I was 30 years old, to be the chair of their math department, which was not a very strong department. And I was pretty young to be the chairman, but I thought it would be fun. And I had a lot of money to work with because the governor at the time was a guy named Rockefeller. Now, I think everyone has probably heard of the name Rockefeller, but has anyone not heard of the name Rockefeller? Okay, most of you have heard of Rockefeller. Rockefeller loved the state university and was pouring money on it. So I had a lot of money to work with and hired some terrific people, so hired some terrific people. But at the same time, in that time frame, I started to get interested in another area of math. And I worked on that area and came up with something really quite beautiful in three dimensions. It was a function. I can't really describe it, but it lived in three dimensions, closed three dimensional spaces. And I was quite pleased. I showed it to Chern. I showed it, I sent it by the mail, because in those days, there was no email. And Chern said, well, you've done this in three dimensions, but it should work in all dimensions. I was very dubious, but I said, okay, let's work together and see. And he was right. It would work in all dimensions. And I was very pleased we published the paper. And about five years later, a physicist named Witten saw this paper and thought, and he was right, it could apply to physics. And then some other physicists saw how it could apply to physics. I didn't know any physics at all. Chern might have known something, but it never occurred to him that it would apply to physics.

And remarkably so. You never know where something will go. You think you're doing math and you're actually doing physics, maybe, or whatever. So today that is called Chern Simons theory. It's all over the place in physics. On average, every day, four papers in physics reference this Chern Simons theory. So I can't take any credit for it at all. But there it was. And of course, I'm quite pleased about it, but I can't say that, oh, I invented this for physics.

Well, shortly after that, I started to get interested in the world of investments. I had come into a very small amount of money, but it was enough to start investing. And one thing led to another. I started hiring people, and we made what was called a Hedge fund, and it was remarkably successful. It's still going. I'm not with it anymore. But I made a tremendous amount of money from this Hedge fund. Now, my lovely wife Marilyn said, let's give some of it away. So I said, okay, fine.

So we gave some charity, and then she said, well, why don't we start a foundation? And. Okay, start a foundation. She started a foundation. I put money into it. The good thing about putting money into a foundation is you can give the money away. You get the tax advantage, but it doesn't have to be spent immediately. So you can put money into the foundation. Said, well, we'll see what we want to do with it tomorrow or next year or whatever. But it grew and grew and grew. So today, oh, well, we decided to focus on science. With our foundation focus on science, 90% of it should be science, 60 of that should be basic science, and 30 of that could be translational science, and 10% could be education and outreach, things like that. So today, that foundation is extremely large. And so most of the money that I made was put into the foundation. So I'm not so rich as I was before, but rich enough. And we had this wonderful foundation, and running it most of the time, was my wonderful wife.

Any questions?

No questions.

Yeah, Urie is in the foundation. He just talked.

How did you manage to get such a wonderful wife? That's a very good question. I could go into that, but it's a long story, so I won't.

Any other questions?

Okay, good luck to all of.

Inspiration, Science, Education, Einstein, Perseverance, Physics