U.S. pressure to crack down on corrupt politicians has squeezed President Claudia Sheinbaum of Mexico ahead of her meeting with Secretary of State Marco Rubio.

What comes next?

The nuclear option for addressing the tech giant’s search dominance — a break-up — is off the table. That’s lifting Big Tech stocks.

The meeting between President Trump and Poland’s largely ceremonial president, Karol Nawrocki, highlights divisions within the biggest economic and military power on the European Union’s eastern fringe.

Bezalel Smotrich said Israel should take over most of the territory, partly in response to growing international moves to recognize a Palestinian state.

The parade, attended by the leaders of Russia and North Korea, had a defiant message. President Trump fired back, accusing Xi Jinping of ignoring America’s role in World War II.

Kim Ju-ae’s presence at a major gathering of world leaders is the latest sign that North Korea’s dictator considers her a successor, analysts said.

We explore an act of defiance in China. But first, a look at President Trump’s health.

Plus, a post-mortem on the summer box office.

Challenges to the administration’s use of the 18th-century wartime law have gone all the way to the Supreme Court. Here’s where they stand.

The Atlantic Coast leopard frog, first identified in an industrial section of Staten Island in 2012, is now on the state’s endangered species list. Conservation groups see an opportunity.

Dan Kleban enters a crowded Democratic primary as party leaders wait for Maine’s Democratic governor, Janet Mills, who is “seriously considering” a run for Senate.

The lawmakers, led by a Republican majority, are expected to consider new maps that would help Republicans gain another seat in Congress. They already hold six of the state’s eight congressional seats.

Building bigger A.I. isn’t leading to better A.I.

China used a parade of fighter jets, missiles and goose-stepping troops to honor the country’s wartime sacrifice and issue a defiant warning to rivals.

A survey has found hundreds of thyroid tumors, but Japanese officials say they are unrelated to the Fukushima meltdowns. Now they face a lawsuit.

Zohran Mamdani, the Democratic nominee for mayor of New York City, once called for defunding the police and decriminalizing prostitution. He says he has changed.

Employers are adding far fewer jobs, and even the health care sector could soften. But the city’s economy appears stronger than those on the West Coast.

Fires, likely sparked by lightning strikes that hit California early Tuesday, razed over 9,000 acres in the foothills of the Sierra Nevada Mountains, officials said.

Dr. Shafik, who came under fire for her handling of pro-Palestinian campus protests last year, is now the chief economic adviser to Britain’s prime minister.

The move came as Republican leaders pressed colleagues not to force a vote on disclosing all the material. Most of what was released on Tuesday was not new.

The vessel was transporting illegal narcotics through international waters to the United States, the president said.

A federal judge’s remedy stops short of making meaningful changes to how we use our phones, computers and the web.

Judge Amit P. Mehta said the company must hand over some of its search data to rivals, but did not force other big changes the U.S. wanted.

Representative Jerrold Nadler’s departure is still 16 months away, but Democrats are already testing the waters in what is expected to be a highly contested race.