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Fields Medal

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Some people win a big prize for math.

Jean-Pierre Serre, Erlangen 1997.JPG
Jean-Pierre Serre, Erlangen 1997.JPG
It is a special medal. It helps young people do great work. This prize is very big. It is a very high honor. Do you like math?
Atle Selberg.jpg
Atle Selberg.jpg

41 words

Some people win a big prize for math.

Jean-Pierre Serre, Erlangen 1997.JPG
Jean-Pierre Serre, Erlangen 1997.JPG
It is called the Fields Medal. This prize is for young math experts. They must be under 40 years old. This helps them do even more great work.
Atle Selberg.jpg
Atle Selberg.jpg
The award happens every four years. It is one of the highest honors. A woman named Maryam Mirzakhani won it once. Many people call it the Nobel Prize of math. It is a very special prize to win.

80 words

Some people win a very special prize for math.

Jean-Pierre Serre, Erlangen 1997.JPG
Jean-Pierre Serre, Erlangen 1997.JPG
It is called the Fields Medal. This prize honors people who study math. It is one of the highest honors a mathematician can get. Many people call it the "Nobel Prize of Mathematics."
Atle Selberg.jpg
Atle Selberg.jpg

There are special rules for this award. It is given every four years. The winners must be under 40 years old. This rule helps support young researchers. It encourages them to keep doing great work. A person can only win the medal one time.

Hironaka heisuke 1976.jpg
Hironaka heisuke 1976.jpg

The prize was named after John Charles Fields. He helped start the award. He even designed the medal himself. In 2014, Maryam Mirzakhani won the prize. She was the first woman to win it.

Edward Witten at Harvard.jpg
Edward Witten at Harvard.jpg
Most winners have a PhD in math. Two winners have a PhD in physics instead. As of 2022, 64 people have won the medal. The prize also includes money. Since 2006, the award has been 15,000 dollars.

170 words

The Fields Medal is a very special prize for people who study math.

Jean-Pierre Serre, Erlangen 1997.JPG
Jean-Pierre Serre, Erlangen 1997.JPG
It is given to two, three, or four mathematicians at a time. This happens during a big meeting called the International Congress of Mathematicians. Many people call this award the "Nobel Prize of Mathematics." It is one of the highest honors a person in math can receive. Winning this medal shows that a researcher has made a major contribution to the field.
Atle Selberg.jpg
Atle Selberg.jpg

There are specific rules that make this award unique. To win, a mathematician must be under 40 years old on January 1st of the award year.

Hironaka heisuke 1976.jpg
Hironaka heisuke 1976.jpg
This age limit was part of the original plan for the prize. It aims to recognize great work while encouraging young researchers to keep going. The rule also helps stimulate new efforts among other mathematicians. You can only win the Fields Medal one time in your life.

A man named John Charles Fields helped start this tradition. He was a mathematician from Canada who helped establish the award. He even designed the medal himself. He also provided the money to help fund the prize. Another mathematician named John Lighton Synge helped oversee the plan after Fields died. The medal was first given out in 1936.

Lars Ahlfors - MFO.jpg
Lars Ahlfors - MFO.jpg

History shows many amazing people have won this honor. The very first winners were Lars Ahlfors and Jesse Douglas in 1936.

Portrait of Jesse Douglas in c. 1932.jpg
Portrait of Jesse Douglas in c. 1932.jpg
In 2014, Maryam Mirzakhani became the first woman to win the medal. Most winners have a PhD in mathematics. However, two winners, Edward Witten and Martin Hairer, have PhDs in physics instead. By the year 2022, a total of 64 people had received the medal.
Edward Witten at Harvard.jpg
Edward Witten at Harvard.jpg

This award connects to the way we celebrate big ideas. Since 2006, the prize has included 15,000 dollars. The most recent winners were announced on July 5, 2022. That event was held online and live-streamed from Helsinki, Finland. It was supposed to be in Saint Petersburg, Russia, but moved due to the 2022 Russian invasion of Ukraine. The next big meeting is planned for 2026 in Philadelphia.

Edward Witten at Harvard.jpg
Edward Witten at Harvard.jpg

377 words

The Fields Medal is a premier international award for excellence in mathematics.

Jean-Pierre Serre, Erlangen 1997.JPG
Jean-Pierre Serre, Erlangen 1997.JPG
It is presented to two, three, or four mathematicians at a time. This ceremony occurs during the International Congress of Mathematicians. This congress is a major convention held by the International Mathematical Union. Many people refer to the Fields Medal as the "Nobel Prize of Mathematics."
Atle Selberg.jpg
Atle Selberg.jpg
It is widely considered one of the highest honors a mathematician can receive. A 2013–14 reputation survey by IREG ranked it as the second most prestigious award in the field, following the Abel Prize.

The medal operates under a specific set of rules that distinguish it from other prizes. To be eligible, a mathematician must be under 40 years of age on January 1 of the award year.

Hironaka heisuke 1976.jpg
Hironaka heisuke 1976.jpg
This age restriction was a deliberate choice by the award's founder. The goal is to recognize outstanding work while encouraging future achievements. It also aims to stimulate renewed effort among the broader mathematical community. Additionally, an individual may only receive the Fields Medal once. This means a recipient is not eligible for the award in future cycles.

The history of the medal begins with the work of John Charles Fields.

Lars Ahlfors - MFO.jpg
Lars Ahlfors - MFO.jpg
He was a Canadian mathematician who was instrumental in establishing the prize. Fields designed the medal himself and provided the initial funding for the monetary component. He passed away before the award was officially established. Following his death, John Lighton Synge oversaw the implementation of his plan. The first medals were awarded in 1936 to Lars Ahlfors and Jesse Douglas.
Portrait of Jesse Douglas in c. 1932.jpg
Portrait of Jesse Douglas in c. 1932.jpg
Since 1950, the medal has been awarded every four years.

Mathematical achievements vary greatly among the recipients. In some years, the award includes official citations for specific breakthroughs. In other years, no specific reason is listed. However, every medalist has a body of work that is lectured upon during the congress. For example, Lars Ahlfors won for his research on covering surfaces related to Riemann surfaces.

Lars Ahlfors - MFO.jpg
Lars Ahlfors - MFO.jpg
Jesse Douglas was recognized for his work on the Plateau problem regarding minimal surfaces. Atle Selberg won for his work on the prime number theorem and the Riemann zeta function.
Atle Selberg.jpg
Atle Selberg.jpg
These lectures ensure that the mathematical community understands the depth of each winner's contribution.

Throughout its history, the medal has been won by a diverse group of researchers. As of 2022, a total of 64 people have been awarded the medal. While most winners hold a PhD in mathematics, there are rare exceptions. Edward Witten and Martin Hairer both hold PhDs in physics. In 2014, Maryam Mirzakhani made history as the first female Fields Medalist.

Edward Witten at Harvard.jpg
Edward Witten at Harvard.jpg
The most recent group of medalists was announced on July 5, 2022. This event was live-streamed from Helsinki, Finland, after a change in location. The ceremony was originally planned for Saint Petersburg, Russia, but moved due to the 2022 Russian invasion of Ukraine.

The award also includes a financial component to support the researchers. Since 2006, the prize has included a monetary award of 15,000 dollars.

Shing-Tung Yau at Harvard.jpg
Shing-Tung Yau at Harvard.jpg
This support helps mathematicians continue their high-level research. The award serves as a bridge between recognizing past success and fueling future discovery. By focusing on mathematicians under 40, the prize ensures that the field remains vibrant and energetic. It celebrates the momentum of young minds at the peak of their creative abilities.

The Fields Medal connects the individual researcher to the global mathematical community. The award is tied to the International Congress of Mathematicians, which brings experts together from around the world. These gatherings allow for the sharing of complex ideas, such as those in topology, algebra, or analysis. The next awarding ceremony is scheduled to take place in Philadelphia during the 2026 congress. Through this cycle of recognition, the Fields Medal helps define the most important directions in modern mathematics.

667 words
🖼️ Images & Media (61)
File:Lars Ahlfors - MFO.jpg
Lars Ahlfors - MFO.jpg
File:Portrait of Jesse Douglas in c. 1932.jpg
Portrait of Jesse Douglas in c. 1932.jpg
File:LaurentSchwartz.jpg
LaurentSchwartz.jpg
File:Atle Selberg.jpg
Atle Selberg.jpg
File:Kodaira Kunihiko.jpg
Kodaira Kunihiko.jpg
File:Jean-Pierre Serre, Erlangen 1997.JPG
Jean-Pierre Serre, Erlangen 1997.JPG
File:René Thom.jpeg
René Thom.jpeg
File:Lars Hörmander.jpg
Lars Hörmander.jpg
File:John Milnor, 1993 Oct (portioned).jpg
John Milnor, 1993 Oct (portioned).jpg
File:Atiyah-Hirzebruch crop.jpeg
Atiyah-Hirzebruch crop.jpeg
File:Alexander Grothendieck.jpg
Alexander Grothendieck.jpg
File:Stephen Smale2.jpg
Stephen Smale2.jpg

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