Peter schulz was born in 1987. He was born in a high-level intellectual family. His father is a physicist, his mother is a computer scientist and his sister is a chemist. Good genes give Schultz a super smart brain.
In 2004, Schultz, who was under 17 years old, was selected for the IMO national team in Germany and participated in the International Mathematical Olympiad for the first time. That year, Schultz won the silver medal.
Since then, Schultz has participated in the Olympic Mathematics Competition three times in a row and won three gold medals. One of them, Schultz won the gold medal with a perfect score of 42 points.
Schultz didn't enter the university until he was 20 years old. It took him only three semesters to finish his undergraduate studies, and then two semesters to finish his graduate studies. Subsequently, Schultz continued to complete his doctoral research with his master tutor MichaelRapoport. On 20 1 1 year, Schultz finished his graduation thesis ahead of schedule and gave it to his tutor rapoport.
When rapoport saw Schultz's paper, he was shocked and said that Schultz could graduate with a doctorate. How awesome is Schultz's doctoral thesis? In his thesis, he first put forward the concept of complete class space, and their definitions were strongly inspired by a classic result of Fontaine and Wintang Berger on Galois theory, which systematized a series of basic theories initiated by faltings and others.
Specifically, quasi-complete space is an algebraic geometric object introduced by Schulz, and his research is based on p-adics, which is closely related to prime numbers. The key point of this theory is that in Schulz's quasi-complete space geometry, a prime number can be represented by a P- basis related to it, which is similar to a variable in an equation. Therefore, geometric methods can be applied to the field of algebra.
The space theory of seemingly complete space is a brand-new theory, but it is already very powerful. Every example found so far leads to important and profound theorems in arithmetic geometry. In the past few years, Schultz and several pioneers in this field have solved many difficult problems in algebraic geometry in this way and won great praise. It is called "one of the most potential algebraic geometry framework systems in the next few decades".
In addition, Schultz also gives a special solution to a conjecture of mathematician Pierre Deligne-the single-valued conjecture of weight.
With a doctoral thesis published at the age of 25, Schultz became a dazzling new star in mathematics and a mathematical genius that attracted worldwide attention.
Because of his outstanding talent in mathematics, at the age of 20 1 1 year, 24-year-old Schultz has become a graduate student of Clay Mathematics Institute. Clay Institute of Mathematics is most famous for its Millennium Prize puzzle announced on May 24th, 2000. These seven problems are considered as "important classic problems" by the institute and have not been solved for many years. The first person to answer any question will get a prize of one million dollars, so these seven questions are worth seven million dollars.
As an international foundation, Clay Institute of Mathematics has offices in many scientific research centers around the world. It is a great honor for young mathematicians to be a graduate student sponsored by this institution. Moreover, the graduate students of this institution can choose to carry out their own research work anywhere in the world and give them full freedom.
In addition, 24-year-old Schultz has become a W3 (the highest level in Germany) professor at Bonn University, who is responsible for teaching the university as a graduate school of mathematics selected by elite universities. Set a record for the youngest professor in Germany.
On 20 12, Schultz won Prix and Cours Peccot.
In 20 13, Schultz was awarded the Sastra Lamanukin Award.
In 20 14, Schultz won the ClayResearch award.
In 20 15, Schultz solved the special case of weighted single-valued conjecture with his seemingly complete space theory and won the algebra prize in the Cole Prize awarded by the American Mathematical Society.
In the same year, Schultz also won the Osterloh Prize and the Fermatz Prize.
On 20 16, Schultz still won the prize, winning the liebniz prize and the EMS prize successively.
Especially the Leibniz Prize, the highest academic award in Germany, Schultz is the only one among the 348 winners under the age of 30.
At the opening ceremony of the 20 18 international congress of mathematicians, Schultz, who was less than 3 1 year old, finally lived up to expectations and won the Fields Prize after running with him for one session.
Before the age of 32, Schultz had won all mathematics prizes except Abel and Wolff prizes, and some even called him Grothendieck's successor.
Schultz is even expected to realize the great unification of mathematics.
1967, 30-year-old Princeton mathematician Langlands Robert tentatively wrote a letter to the famous mathematician Wei Yi.
In his letter, Langlands suggested that two branches of mathematics, number theory and harmonic analysis, may be related. In this letter, Langlands put forward a great idea to guide the development of mathematics-Langlands Plan.
The Langlands program points out that these three branches of mathematics, number theory, algebraic geometry and group representation theory, which are relatively independent, are actually closely related, and the ties between these branches of mathematics are some special functions, which are called L- functions.
Langlands thinks that L- function can be used as a link to connect all branches of mathematics. Langlands proposed how to define some L- functions for the automorphism representation of simple groups, and guessed from number theory that some L- functions represented by the automorphism of general linear groups are the same as those of Galois groups.
This conjecture has been further expanded and refined by Langlands himself and other mathematicians, and gradually formed a series of conjectures that reveal the profound relationship between number theory, algebraic geometry and representation theory.
The Langlands Plan has always been regarded as a grand blueprint for the unification of mathematics, and Schultz is considered to be able to achieve this great goal.
However, some mathematicians think it is possible to realize the unification of P-ary, that is, to generate a P-ary number from any positive integer, it is necessary to express this integer as a P-ary number and then express it in reverse. For example, to represent the integer 20 as a binary number, first write the binary expression of 20 as 10 100, and then write it in reverse, which is 00 10 1. Similarly, the ternary number of 20 is 202 and the quaternary number is 0 1 1.
The characteristics of P-ary numbers are slightly different, and the most obvious problem is the "distance" of numbers: if the difference between two numbers can be divisible by a multiple power of P, then the distance between two numbers is "near", and the higher the power, the closer the distance is. For example, the decimal numbers 1 1 and 36 are very close because their difference is 52. But 10 and 1 1 are far from each other.
P basis is the core of number theory. When wiles proved Fermat's Last Theorem, almost every step involved the concept of P basis.
Why do mathematicians think Schultz is considered to be able to achieve this great goal? Because Schultz extended the Langlands program to "three-dimensional hyperbolic space" and a wider structure, he discovered a new set of reciprocity laws by constructing a seemingly complete space in the three-dimensional hyperbolic space. His colleague Eugen Hellmann, a mathematician and also at Bonn University, once commented: "Schultz has found a very concise and accurate way to integrate his previous work in this field. This elegant theoretical framework can surpass all known results. "
Many mathematicians are enjoying Schultz's research results, such as the French mathematician Laurent? Fahlge is also based on Schultz's research to understand the part of Langlands program related to P-radix.
Today, Schultz, who is less than 33 years old, is still at the peak of his career as a mathematician. There are many possibilities for his future. It is foreseeable that in the near future, he will become one of the new leading figures in the field of mathematics.
Although there are a number of young mathematicians in China, there is still a certain gap compared with the United States and Europe. I hope our young mathematicians can continue to work hard and make more achievements!