Broome County, New York, elected county officials on November 5, 2019, including a new District Attorney.  The incumbent was not running for re-election.  There were three candidates running.  Two were seeking the Republican nomination, and one was seeking the Democratic nomination.  Because New York allows fusion, all three also sought the Libertarian nomination.

The winner of the Republican primary was F. Paul Battisti.  In that primary, Battisti defeated Michael Korchak, the chief assistant District Attorney.  However, Korchak won the Libertarian nomination, and remained in the general election race, as the Libertarian nominee.  He was not the nominee of any other party.  Battisti was the nominee of the Republican Party only and was not the nominee of any other party.

The general election race was very close, and the winner was not known until November 19, when all the absentee votes had been counted.  Korchak won the election.  Here is a National Public Radio story about Korchak, an interview conducted before the election.

Here is a link to the election returns.

For well-known presidential candidates seeking a place on a major party presidential primary, Virginia has the toughest rules.  The state requires 5,000 signatures.

On November 18, Pete Buttigieg became the first Democratic presidential candidate to submit a petition.  His petition has approximately 12,000 signatures.

The Arizona Libertarian Party is ballot-qualified in Arizona, and could have a presidential primary if it wished.  But the party has informed the Secretary of State that it doesn’t want a presidential primary.

In 1996, the Arizona Democratic Party and the Arizona Libertarian Party jointly won a lawsuit in state court, establishing that if they don’t want a presidential primary, they can prevent such a primary.  Later the legislature codified that any party is free to cancel a presidential primary.  In 2020, the Arizona Republican Party has also cancelled its presidential primary.

Candidates get on an Arizona presidential primary ballot by showing that they are on in at least two other states’ presidential primaries.  So far Pete Buttigieg is the only Democratic presidential primary candidate who has filed in Arizona.