Ryan Montbleau Band photo by Ryan Laurey

Ryan Montbleu has had a nice run lately — four songs on two Trombone Shorty hit contemporary jazz CDs, which parlayed into New Orleans sessions with Shorty producer Ben Ellman. The results of those Big Easy sessions, with George Porter Jr. on bass, Ivan Neville on keys and B3 and Simon Lott on drums, will be on Montbleau’s record “For Higher,” set for a May 15 release.

But you can hear many of those songs live when Ryan Montbleau Band comes to Martin’s on Thursday. Read more, get show details. And you can hear four of the numbers — “Burning and Hiding,” “Sweet, Nice ‘n’ High,” “Head Above Water” and “Dead Set” — streaming on this podcast.