The phrase "a peak of popularity" is correct and usable in written English.
It can be used to describe a time when something or someone is experiencing the highest level of fame or recognition.
Example: "The band reached a peak of popularity in the late 1990s, with several chart-topping hits."
Alternatives: "a height of popularity" or "a pinnacle of fame".
Talking about the party – which hit a peak of popularity in December of 2014, but tailed off significantly this year – he reaches for a boxing simile.
With a powerful voice but no formal musical training, he joined the group on Thanksgiving Day in 1946, at a time when the group and gospel quartet singing were reaching a peak of popularity.
"The ironic thing is that when a piano reaches the age for our retirement, it sometimes is at a peak of popularity among pianists," he said, "so that the hall where it resides is reluctant to retire it".
American Staffordshire terriers reached a peak of popularity in the first half of the 20th century; "Pete the Pup" appeared in the Our Gang comedies, and the breed personified the all-American pet.
The genre reached a peak of popularity with "Dr. Strangelove" (1963), Stanley Kubrick's spoof of war-mongering Pentagon yahoos itching to play nuclear chicken, and "The Manchurian Candidate" (1962), the cold war satire of brainwashing, paranoia and political assassination that eerily presaged the death of John F. Kennedy.
But John Paluska, the band's manager, said the reason for the hiatus was that "everybody just hit an undefinable point of exhaustion at the same time" and wanted to be with their families, especially after a year in which the band hit a new peak of popularity.
British women's football reached a new peak of popularity during the London 2012 Olympic Games, with a crowd of more than 70,000 watching Team GB beat Brazil 1-0 at Wembley.
Bowie reached a new peak of popularity and commercial success in 1983 with Let's Dance.
His career continued to flourish, but it was perhaps a sign that his peak of popularity was behind him when ITV ended his Paul O'Grady Live Friday night chatshow.
In fact, the trailers have experienced a revival after suffering a slow decline from their peak of popularity in the '50s.
"Leslie" fell out of favor, dropping from a peak of 81 in male popularity rankings in 1895 to 874 a century later, and will most likely never gain traction with men again.
