The way Noam Grossman sees it, he’s not just another guy selling just another New York slice.

“At the end of the day, yes, it’s still a slice of pizza,” said Mr. Grossman, 28, speaking like someone who knows he’s onto something good yet doesn’t want to boast. “But out of all the slices of pizza you could find, this is where you want to be.”

Mr. Grossman and his business partners, Eli and Oren Halali, brothers who cornered the quick-and-slick dollar-slice market in Midtown Manhattan with their 2 Bros. chain, turned heads in January by opening Upside Pizza, which specializes in from-scratch pies made with wild yeast and mozzarella pulled in-house. Upside, a few blocks from the Port Authority Bus Terminal, charges $3 to $5 per slice, and draws long lines at lunchtime.

Now, they are planning a new restaurant in Downtown Brooklyn, which Mr. Grossman described as “a pizza wasteland.” The new place, set to open in August at 345 Adams Street, will be a smaller, simpler operation, its tiny kitchen requiring their menu offer more stripped-down slices . “Think like, Upside’s little brother,” Mr. Grossman said.