The justices are about to hear a lawsuit that could determine whether the oil industry faces billions of dollars in liability for damages caused by global warming.

We asked 100 scientists about unsolved problems in their fields. They sent back provocations — on the origins of life, the possibilities for human progress and much more.

Pedro Sánchez, the Spanish prime minister, has faced challenges including a migration crisis and several corruption scandals involving his inner circle.

Trump and his allies in the Capitol have revealed a problem that has been developing for decades.

Flávio Bolsonaro’s first round lead leaves President Luiz Inácio Lula da Silva three weeks to find the votes to stop Brazil’s, and Latin America’s, rightward shift.

Spain’s prime minister, Pedro Sánchez, dissolved Parliament on Monday, after months of spiraling crises.

Evacuation is almost impossible and food is running out in Russian-occupied Oleshky, a city menaced by mines and drones.

Neither President Luiz Inácio Lula da Silva nor Flávio Bolsonaro, the son of a former president, won the first round, but Mr. Bolsonaro took more votes.

Dr. Annie Andrews, a Democrat, is hoping to defeat Senator Darline Graham. Even some of her most ardent supporters sense that her bid is a long shot.

The failed attempt with Christa Pike has intensified bipartisan concerns about Tennessee’s ability to effectively carry out lethal injections.

Ukraine showed European partners what it said were intercepted Russian plans to cut off major cities from power, heat and water this winter.

Experts in sexual assault cases said it may not be easy to win a conviction on the rape allegations that Jane Doe has made against fraternity members.

Plus, the Friday news quiz.

Russians are creating and spreading music glorifying the invasion of Ukraine, using platforms built in the United States.

The American Israel Public Affairs Committee has increasingly become a campaign issue unto itself. Some candidates have worn opposition from AIPAC as a badge of honor or made a point of rejecting the group’s support.

The scheme is part of Russia’s larger strategy for sowing discord in the West, if more subtle than other recent operations blamed on the Kremlin.

Gov. Kathy Hochul appointed the New York State attorney general to investigate allegations by a former Cornell University student that several men sexually assaulted her.

Prime Minister Benjamin Netanyahu of Israel said the co-pilot who set upon the pilot had undergone “Islamist radical indoctrination” but did not elaborate.

Gov. Bill Lee ordered a review of the state’s lethal injection process after the botched attempt to execute the lone woman on Tennessee’s death row.

Ms. Slemmer was killed in 1995 by Christa Pike, whose execution in Tennessee was botched on Wednesday. Her family celebrated what would have been her 51st birthday last month.

Also, the Supreme Court will review Trump’s migrant detention policy. Here’s the latest at the end of Thursday.

Republicans lined up a series of doomed votes in their final hours, hoping to portray Democrats as obstructionists. But some conceded that their party was more likely to be punished.

Their accounts, detailed in hundreds of pages of investigative files obtained by The New York Times, were disjointed and sometimes contradictory. All the men denied any wrongdoing.

Documents obtained by The New York Times show that the campus police at Cornell University sent a condensed statement to a prosecutor, who then declined to bring charges.

A catheter carrying the drug may not have delivered the doses to Ms. Pike’s bloodstream, experts said. The drug itself may have been degraded.

A reduction in refineries has already driven the price of diesel to record highs, threatening economies. An U.S. export ban would be “tremendous shock and blow.”

Ms. Pike, 50, survived two doses of a lethal injection in Tennessee. She was sentenced to death for the 1995 murder of a classmate.

The higher yields, which are pressuring consumer and corporate borrowers and increasingly weighing on certain corners of the stock market, are unlikely to dissipate soon.

The average 30-year, fixed-rate home loan rose to 7.28 percent, up from 6.34 percent a year ago. More buyers are now turning to adjustable-rate mortgages.

The administration’s policy of detaining immigrants who crossed the border illegally years ago and holding them without a bond hearing has divided lower courts.

Capt. Smit Machchhar from India suffered stab wounds while fending off an attack from his co-pilot, saving the lives of around 170 people on board, officials said.

The New York Times obtained more than 1,000 pages from the university’s internal inquiry into accusations by “Jane Doe.” Here are the revelations so far.

The woman known as “Jane Doe” was initially embarrassed about what happened at a fraternity party in 2024, but soon concluded: “I was assaulted.”

Christa Pike was convicted of murdering a classmate in 1995. It was not clear what went wrong in the execution or what her current medical condition was.

“I don’t deserve to die like this,” said one passenger on Flight 1073 from Dubai to Tel Aviv. The motive of the cockpit stabbing remains unknown, officials said.

A passenger on a flight to Tel Aviv on Wednesday said he watched in horror as the plane’s pilots tumbled out of the cockpit, locked in a bloody brawl.

Greg Brockman, OpenAI’s president and co-founder, said internally that the super PAC, Leading the Future, had become a “distraction” for the A.I. company.

Also, a Kelvin wave is heading to California. Here’s the latest at the end of Wednesday.

President Trump’s plan to let A.I. companies police themselves comes amid mounting examples that they are failing to put safeguards on the technology.

A Republican measure to limit, but not bar, congressional stock trading faltered in the Senate as Democrats thwarted a G.O.P. bid to show progress on an issue that has rankled voters.

Senate Democrats blocked a measure that would encourage, but not require, states to protect consumers from power rate hikes tied to data center growth, and had no limits on A.I. use or deployment.

In a small Idaho town, a young mother is accused of killing her young twins. She blames the childhood vaccines they received.

A routine flight turned terrifying when a violent altercation broke out inside the cockpit and the aircraft dropped 17,000 feet in two minutes. Passengers subdued a knife-wielding attacker.

100 Zeros, a collaboration between Google and Range Media Partners, aims to give the tech giant a foothold in movies, TV and emerging forms of entertainment.

The Personal Consumption Expenditures price index showed little sign of easing in August, though revised data showed inflation had been slightly cooler than previously believed.

Prime Minister Benjamin Netanyahu of Israel said one pilot stabbed another and may have attempted to crash the flight from Dubai to Tel Aviv. The plane landed in Saudi Arabia and all passengers were safe.

Xavier Becerra, a Democrat who served in the Biden administration, will debate Steve Hilton, a Republican former talk show host, in what’s likely to be their only face-off before the election.

An enormous pulse of wave energy will soon reach Southern California and continue north, raising sea levels by half a foot and increasing threats from swells and tides.

The passenger, Miriam Ohayon, said people on board felt the jet lose control and heard screams. “When they opened the cockpit, there was a lot of blood,” she told Israeli television.

The Americans did not understand the country when they invaded in 2003. Over a correspondent’s many trips there, it was not clear that this ever changed much.