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Math's 'romantic era' is over, UCLA prodigy says

MOUNTAIN VIEW, CA - DECEMBER 03: Mathematician Terence Tao attends the 2018 Breakthrough Prize at NASA Ames Research Center on December 3, 2017 in Mountain View, California.  (Photo by Jesse Grant/Getty Images)
Terence Tao, a UCLA math professor who earned a doctorate at age 20, said that math is entering a new, less "heroic" age.

Jesse Grant/Getty Images

  • Terence Tao, now a UCLA professor, earned his doctorate in mathematics at 20.
  • The prodigy said his work is changing in the age of AI.
  • With AI tools doing the legwork, math is no longer "heroic," Tao said.

AI is upending mathematics. For one top professor, the issue is just as spiritual as it is practical.

Terence Tao, a renowned professor at UCLA, said in a recent podcast appearance that the "romantic era" of math is over, thanks to AI tools capable of solving hundreds of problems with some simple prompting.

Now, he said, even leading scholars like him are reduced to sorting through reams of AI-generated proofs, instead of doing the "heroic" solving themselves.

"We are moving to an industrial era where math will become much more large-scale," Tao said in an interview this week on Numberphile, a YouTube channel dedicated to math.

"We are entering an era where exciting new things are possible, but some things are being lost," he added.

OpenAI began its brusque push into the field by solving the Navier-Stokes equation in early September, one of math's millennium problems.

The revelation that AI had cracked it caused consternation from many a math geek. Some mathematicians also expressed frustration that while the AI model might have solved the problem, it didn't show its work, leaving them with the less celebratory task of verifying it.

Then, earlier this month, OpenAI said it cracked another 700 outstanding problems. A math professor at New York University told CNBC that the company's release had derailed work by early-career mathematicians.

"We've had whole research programs wiped out on Tuesday by their dump," the professor, Tristan Buckmaster, said at the time.

In a separate brouhaha in September, OpenAI backed out of a sponsorship for a so-called AI "mathathon" — an event organized by undergraduates at Caltech, where participants were encouraged to use AI to solve equations — after complaints from a group of more senior academics.

Event organizers told Business Insider at the time that their professors were sorely out of touch with the field's trajectory.

"We look to the future, and we don't even know if there's going to be grad school open positions by the time we get to Ph.D," one organizer, Caiman Moreno-Earle, said.

Though OpenAI has said it is taking steps to ensure human academics retain their role in this new era, some researchers and professors are already forecasting their possible obsolescence.

Tao isn't as much of a doomer as some of his colleagues in the field. However, he did say in the interview that the stories math nerds tell themselves may not mean so much in the future.

"We have these sort of mythological stories," he said in reference to the tale of Sir Andrew Wiles, who famously spent seven years isolated in his attic solving a single difficult equation.

"There was something romantic about sort of the heroic age," Tao said.

Read the original article on Business Insider

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Chaos and looting roiled major cities as Europeans poured into the streets to protest rising living costs

BRUSSELS, BELGIUM - OCTOBER 17: Hundreds of young people protest against education reforms and budget cuts in Brussels, Belgium, on October 17, 2026. Police intervene using tear gas and water cannons against the protesters. (Photo by Dursun Aydemir/Anadolu via Getty Images)
Protesters took to the streets in capitals across Europe over the weekend. In Brussels, demonstrators clashed with police.

Dursun Aydemir/Anadolu via Getty Images

  • France wasn't alone this weekend.
  • Civil unrest occurred in several European cities this weekend.
  • Protests over the high cost of living devolved into riots.

Demonstrators took to the streets across multiple European cities and capitals this weekend to protest the high cost of living in their countries.

Though the violence in Paris and other French cities claimed the headlines, thousands also showed up in Portugal, Italy, and Belgium. Demonstrators were arrested in large numbers — many people were seen in photos and videos clashing violently with police and looting local businesses.

Energy price hikes, caused at least in part by the US-Israeli war with Iran and the conflict between Russia and Ukraine, have contributed to the rising prices. Other demonstrations in Belgium and France were begun by students and have since snowballed into larger-scale demonstrations, involving union workers and other organizations.

Here's a look at the chaos that unfolded across the Atlantic this weekend, where peaceful protests eventually devolved into riots and looting.

Lisbon
LISBON, PORTUGAL - OCTOBER 17: Participants hold signs and flags as thousands march at CGTP-IN decentralized national demonstration to demand higher wages, better pensions, and improved public services from Cais do Sodré to Rossio on October 17, 2026 in Lisbon, Portugal. The CGTP-IN demands a general increase in all wages of at least 15%, never less than 150 euros; the setting of the National Minimum Wage at 1,100 euros by 2027; the repeal of the expiration of collective bargaining agreements; the reduction of the workweek to 35 hours; the fight against precarious employment; and the strengthening of public services and the social functions of the State. CGTP-IN leader Tiago Oliveira stated that the demonstrations aim to ensure that every person who "feels the difficulties of daily life," due to the "drastic increase" in housing, fuel, and food prices, and who "feels public services deteriorating," to "make their voices heard" and have "the opportunity to fight against current policies." (Photo by Horacio Villalobos#Corbis/Getty Images)
Protestors in Lisbon demanded a general increase in wages.

Horacio Villalobos#Corbis/Getty Images

In Lisbon, Portugal's capital, people took to the streets on October 17 to protest the cost-of-living crisis, low wages, and unaffordable housing.

The demonstration, which was organized by the CGTP, Portugal's largest trade union federation, was also held in Porto and Coimbra. In all, the union said "thousands of workers" took part.

About 12.7% of the population in Portugal lives in overcrowded households.

Housing prices in Portugal recorded the largest annual increase of any EU member state in the second quarter of 2026, rising 16.5%. In Lisbon, the average rent is equivalent to 116% of the average salary, meaning it exceeds a typical monthly income by 16%.

Earlier this week, police removed a tent camp that activists had set up in Praça D. João I, a central public square in Porto, to draw attention to rising housing costs.

Brussels
Riot police uses a water cannon as demonstrators gather during a youth protest in Brussels on October 17, 2026. (Photo by NICOLAS MAETERLINCK / Belga / AFP via Getty Images) / Belgium OUT
Riot police used a water cannon to spray youth demonstrators in Brussels, Belgium on Saturday

NICOLAS MAETERLINCK / Belga / AFP via Getty Images

In Belgium, students have held demonstrations in recent weeks over rising education costs, some of which turned violent over the weekend.

Video footage showed police using water cannons and tear gas during clashes with protesters in Brussels.

Belgian interior minister Bernard Quintin said in a post on X on Saturday that "what is unfolding in Brussels is no longer mere protest" and "all necessary means will be used to restore order in the face of the rioters."

Clashes also took place in Liège. Police arrested 195 people across the two cities during Saturday's protests, per The Brussels Times.

Milan
Demonstrators clash with Police during an anti-government protest organized by the Italia in Piazza movement, at Piazza Duomo in Milan, on October 17, 2026. Inspired by recent protests in France and Spain, demonstrators are protesting against the rising cost of living, low wages, high rents and public service shortcomings, demanding better living and working conditions. (Photo by Piero CRUCIATTI / AFP via Getty Images)
A demonstrator in Milan is encircled by riot police.

Piero CRUCIATTI / AFP via Getty Images

In Milan, a demonstration over the weekend against wars and the rising cost of living also descended into clashes between protesters and police.

Photos showed chaotic scenes around Piazza del Duomo, the landmark central square outside the Milan Cathedral and one of the city's busiest tourist areas, with looters damaging shop fronts and setting objects on fire.

Italian Prime Minister Giorgia Meloni condemned the violence in a post on X on Sunday.

"Thugs who exploit demonstrations to sow chaos, attack those who ensure security, and hold entire cities hostage," she wrote. "Demonstrating is a right. Setting our cities ablaze is not."

The demonstrations were also held in other cities across northern Italy. Police estimates reported by Rai News, Italy's public broadcaster put turnout at about 5,000 in Milan, 3,000 in Turin, 2,000 in Bologna, 600 in Brescia, and 800 in Bergamo.

Italy's annual inflation rate jumped to 4.1% in September, up from 3.2% in August.

In Milan, home prices have also climbed: residential asking prices were 49% higher in September than in 2018, according to the property portal Immobiliare.it.

Read the original article on Business Insider

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