Renowned Mathematician Masaki Kashiwara Awarded the 2025 Abel Prize for Breakthrough Equation-solving Tool

Posted on March 26, 2025 by Igor Mitreski

Kashiwara’s work is very abstract, but is seen as important

Peter Bagde / Typos1 / The Abel Prize

Red-tailed For his research on algebraic analysis, he received the 2025 Abel Prize, known as the Nobel Prize in Mathematics.

Professor of Kashiwara Kyoto UniversityJapan received the award “for his fundamental contributions to algebraic analysis and representational theory, particularly for the development of the theory of D-modules and the discovery of crystal bases.”

His work involves the use of algebra, focusing on investigating geometry and symmetry, and using those ideas to find solutions to differential equations that include the relationship between mathematical functions and their rate of change. Finding solutions to such equations can be particularly difficult, especially for functions with several variables, and therefore with several rates of change. These are known as partial differential equations (PDEs).

Kashiwara’s important work on the D-module, a highly specific area of algebraic analysis, including Linear PDE, was conducted surprisingly early in his career during his doctoral dissertation. He has worked with over 70 collaborators. Kashiwara said New Scientist He was pleased to win the Abel Prize, but he is still active and would like to make further contributions.

“I’m currently working on representative theory of quantum affine algebra and its related topics,” he says. “There’s a great guess: [the] “Affine epicenter speculation,” but I still don’t know how to solve it. ”

David Craven At the University of Birmingham, UK, Kashiwara’s work is very abstract and far from a direct real-world application, and even basic summary says that a minimum of a doctorate in mathematics is required. “That’s the level of these things being difficult,” he says. “It’s incredibly esoteric.”

However, Craven says that Kashiwara had a major impact on his field. “What he did is permeate theories of expression. If you want to do geometrical expression theory, you can’t escape from Kashiwara.

Gwyn Bellamy “All the big results on the field are [algebraic analysis] It was more or less due to him, and Kashiwara’s Abel Prize victory has been a long time.

Named after Norwegian mathematician Neils Henrik Abel, the Abel Prize is awarded annually by the King of Norway. Last year, Michelle Taragland won for his work in extreme studies of probability theory and randomness.

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Source: www.newscientist.com

Japanese mathematician Kashiwara Kuniyama awarded the Abel Prize in 2025.

Posted on March 26, 2025 by Igor Mitreski

Kashiwara Kuniki, a Japanese mathematician, has been awarded the Abel Prize, considered the equivalent of the Nobel Prize in mathematics. Dr. Kashiwara’s work combines algebra, geometry, and differential equations in a unique and abstract manner.

The Norwegian Academy of Sciences and Letters, responsible for the Abel Prize, announced the honor on Wednesday morning.

“He resolved difficult open speculations and connected previously unknown areas, surprising mathematicians,” said Helge Holden, chairman of the awards committee.

Mathematicians can use connections between different mathematical domains to address complex problems and gain a deeper understanding.

Kawakaze, 78, from Kyoto University, is considered “very important in many different fields of mathematics,” stated Holden.

Dr. Kashiwara, when asked if his work solved real-world problems, responded with a negative. The honor comes with approximately $700,000 in prize money.

Unlike Nobel Prize winners, Dr. Kashiwara was informed of his accolade a week prior to the public announcement.

The Norwegian Academy surprises Abel Prize winners with notifications similar to surprise birthday parties.

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Marit Westerguard, executive director of the Norwegian Academy, personally informed Dr. Kashiwara of his selection as Abel of the year.

Dr. Kashiwara, initially confused due to internet issues, was eventually able to grasp the news conveyed to him in Japanese.

Having been attracted to mathematics from a young age, Dr. Kashiwara’s work reflects his passion for algebraic analysis.

Real-world phenomena are explained using real and imaginary numbers, showcasing the interconnection between mathematics and the physical world.

Dr. Kashiwara’s impactful work in mathematics links abstract ideas to insightful combinations for mathematicians across various disciplines.

His innovative approaches, such as the Crystal Base, have opened new avenues of research in the field.

Source: www.nytimes.com

Mathematicians are adventurers, says 2024 Abel Prize laureate Michel Taragran

Posted on March 21, 2024 by Igor Mitreski

Michel Taragrand named 2024 Abel Prize laureate

Peter Bagde/Typos1/Abel Prize 2024

French mathematician Michel Taragrand has won the 2024 Abel Prize for his work on probability theory and the description of randomness. As soon as he heard the news, new scientist We spoke to Tara Grand to learn more about his mathematical journey.

Alex Wilkins: What does it mean to win an Abel Prize?

Michel Taragran: I think everyone agrees that the Abel Prize is considered the equivalent of the Nobel Prize in mathematics. So this was completely unexpected for me and I never dreamed that I would win this award. And in fact, it is not so easy to do, since there is already a list of people who have received it. And in that list they are true giants of mathematics. And let me tell you, I don’t feel that comfortable sitting with them because it’s clear that their accomplishments are on a completely different scale than mine.

What are your qualities as a mathematician?

I can’t learn mathematics easily. I have to work. It took a lot of time and I have bad memories. I forget things. So I try to work despite my handicap, but my way of working has always been to try to understand simple things really well. Really, really, in detail. And it turned out to be a successful approach.

Why are you attracted to mathematics?

Once you learn mathematics and begin to understand how it works, it is completely fascinating and extremely fascinating. There are all kinds of levels and you are the explorer. First you have to understand what people before you understood, which is quite difficult, and then you start exploring on your own and soon you like it. Of course, it’s also very frustrating. Therefore, you must have the personality to accept frustration.

But my solution is that when I get frustrated with something, I put it aside, and when it’s clear that I’m not going to make any more progress, I put it aside and do something else, and come back to it later. . I used that strategy very efficiently. And the reason it’s successful is the way the human brain functions, things mature when you don’t look at them. The problem I’ve been dealing with for literally 30 years is back again. And in fact, even after 30 years, I was still making progress. That’s what’s amazing.

How did you get started?

Now, that’s a very personal story. First, it helped that his father was a math teacher, and of course that helped. But in reality, the deciding factor is that I was unlucky to be born with a retinal defect. Then, when I was 5 years old, I lost my right eye. When I was 15 years old, I suffered from multiple retinal detachments and was hospitalized for an extended period of time, taking 6 months off from school. It was very traumatic and I lived in constant fear of having another retinal detachment.

I started studying to escape from that. And his father really helped me very much when he knew how difficult it was. When I was in the hospital, my father visited me every day and started talking about simple math to keep my brain functioning. The reason I started studying difficult mathematics and physics was precisely to combat fear. Of course, once you start studying, you’ll get better at it, and once you’re good at it, it’s very attractive.

What is it like to be a professional mathematician?

There’s no one telling me what to do, so I have complete freedom to do whatever I want with my time. Of course, it suited my personality and I was able to fully devote myself to my work.

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Source: www.newscientist.com

Michel Taragran awarded 2024 Abel Prize for breakthroughs in understanding randomness in mathematics

Posted on March 20, 2024 by Igor Mitreski

Michel Taragrand: “Life is horribly random.”

Peter Budge/Typos1/Abel Prize 2024

Michel Taragran won the 2024 Abel Prize, also known as the Nobel Prize of mathematics, for his work on probability theory and the description of randomness. The news came as a surprise to Taragrand. He learned what he thought was his Zoom call within the department. He said: “My brain completely shut down for five seconds. It was an amazing experience. I never expected anything like this.”

Tara GrandBased at the French National Center for Scientific Research (CNRS), he has spent much of his 40-year career on extreme characterization of random or stochastic systems. These problems are common in the real world. For example, a bridge builder may need to know the maximum wind strength expected from the local weather.

Such random systems are often very complex and may contain many random variables, but Talagrand’s method of converting these systems into geometric problems allows us to extract useful values. can. “He is a master at getting accurate estimates, and he knows exactly what to add or subtract to get an accurate estimate,” he says. Helge HoldenChairman of the Abel Prize Committee.

Taragrand also developed mathematical tools and equations for systems that are random but exhibit some degree of predictability within that randomness, a statistical principle called concentration of measurements. His equation, known as the Taragrand inequality, can be used for many systems that exhibit concentration of measurements. Asaf Naor At Princeton University, he developed famous algorithmic puzzles such as the Traveling Salesman Problem. “Not only is he a great discoverer in his own right, but he is also an influence. He has provided the world with an amazing collection of insights and tools,” Naor says.

Perhaps inspired by his own work, Taragrand says he views his career as a random process. “It’s really scary when you look at your life and the important things that happened. They were determined by small random influences and there was no plan at all,” he says.

Although many of his works were general, he also had a particular interest in the mathematical basis of spin glasses. Spin glass is an unusual magnetic arrangement in which the atoms of a material can act like tiny magnets, pointing in random directions and exhibiting no apparent order. Repeating crystal structure in ordinary glass.

“This award is definitely well-deserved,” he says Giorgio Parisi from Sapienza University in Rome, Italy, won the 2021 Nobel Prize in Physics for his work on spin glasses. Parisi and his colleagues first proposed a formula to describe these materials, named after Parisi, but it was not proven mathematically until the work of Taragrand and Italian physicist Francesco Guerra. . “It’s one thing to believe that a guess is correct, but it’s another to prove it. I believed it was a very difficult problem to prove,” Parisi says.

It also helped draw the field to the attention of other mathematicians, Parisi said. “This was a great proof and completely changed the game, because it was the starting point for a deeper understanding of the theory.”

For Taragrand, one of the keys to success was persistence. “You can’t learn mathematics easily. You have to work. It takes a lot of time and you have bad memories. You forget things. So despite these handicaps, I have to work. My way of working has always been to try to understand simple things really well.”

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Source: www.newscientist.com

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Tag Archives: Abel

Renowned Mathematician Masaki Kashiwara Awarded the 2025 Abel Prize for Breakthrough Equation-solving Tool

Japanese mathematician Kashiwara Kuniyama awarded the Abel Prize in 2025.

Mathematicians are adventurers, says 2024 Abel Prize laureate Michel Taragran

Michel Taragran awarded 2024 Abel Prize for breakthroughs in understanding randomness in mathematics