Senator Bernie Sanders of Vermont has been widely seen as attempting to burnish his legacy this year by anointing a new generation of progressive leaders, including Graham Platner of Maine.

Rom Reddy said he was eager to shift the focus from his wall to his nascent campaign, which kicked off last month, much later than those of the other candidates.

Olivia Troye served as a national security aide to former Vice President Mike Pence until the summer of 2020.

Senator John Cornyn of Texas, a four-term Republican Senator, is spending record sums to try to fend off a primary challenge from Ken Paxton, the state’s attorney general, who is beloved by the MAGA base.

With the contested Democratic primary for mayor decided, New York City voters can expect to be inundated with political ads leading up to the general election in November.

Senator Chuck Schumer, left, and Representative Hakeem Jeffries, congratulated Zohran Mamdani but stopped short of endorsing him.

Voters will also consider their party’s candidates in state legislative primaries.

A Listen to Michigan volunteer near a polling place in Dearborn on Tuesday.

Gov. Ron DeSantis of Florida and his allied groups spent lavishly, including on private air travel for the candidate, but he dropped out of the Republican primary race after finishing a distant second in Iowa.

Nikki Haley is the last woman standing in the Republicans’ presidential race, but she faces a tough challenge in toppling Donald J. Trump.

Newport, N.H., last week.

Former President Donald J. Trump at a campaign rally in Mason City, Iowa, on Friday. Mr. Trump remains the front-runner for the Republican nomination, even as he faces 91 felony counts across four criminal cases.

At a gathering of conservative Iowa Christians on Friday, Gov. Ron DeSantis of Florida shared a personal story about his wife’s miscarriage.

Virtually all of the ambitious Democrats whose names who have surfaced as possible Biden alternatives have thrown their political support behind the president.