In “Star Trek” terms, and in the real world of “Star Trek” television, Alex Kurtzman, who oversees the 21st-century franchise, might be described as the Federation president, from whose offices various series depart on their individual missions. Indeed, to hear him speak of it, the whole enterprise — honestly, no pun intended — seems to run very much on the series’ ethos of individual initiative and group consensus.

The first series to be launched, “Star Trek: Discovery,” has come to an end recently after five seasons on Paramount+. Others in the fleet include the concluded “Picard,” which brought “The Next Generation” into a new generation; the ongoing “Strange New Worlds,” which precedes the action of what’s now called “The Original Series” and takes its spirit and several characters; “Lower Decks,” a comedy set among Starfleet service workers; and “Prodigy,” in which a collection of teenage aliens go joyriding in a starship.

On the horizon are “Starfleet Academy,” with Holly Hunter set to star, and a TV feature, “Section 31,” with Michelle Yeoh back as Philippa Georgiou.

This interview with Kurtzman — whose “Trek” trek began as a writer on the quantum-canonical reboot movies “Star Trek” (2009) and “Star Trek: Into Darkness” (2013) — has been edited for clarity and length.

Q: You’re ending “Discovery” after five seasons. Was that always a plan?

A: You know, we were surprised we didn’t continue, and yet it feels now that it was right. One of the things that happened very quickly as streaming took off was that it radically changed watch patterns for viewers. Shows that used to go 10, 12 seasons, people would tap out after two — like, “I got what I want” — so for any show to go five seasons, it’s a miracle. In ways I don’t think we could have predicted, the season from the beginning feels like it’s the last; it just has a sense of finality.

Q: “Discovery” is a riot of love stories, among both heroes and villains.

A: There’s certainly a history of that in “Star Trek.” Whether or not characters were engaged in direct relationships, there was always a subtext of the love between them. I believe that’s why we love the bridge crew, because it’s really a love story, everyone’s in a love story, and they all care for each other and fight like family members. But ultimately they’re there to help each other and explore the universe together. If there’s some weird problem, and the answer’s not immediately apparent, each of them brings a different skill set and therefore a different perspective; they clash in their debate on how to proceed and then find some miraculous solution that none of them would have thought of at the outset. One of the beautiful things about the shows is that you get to spend a long time with them, as opposed to a two-hour movie where you have to get in and out quickly and then wait a couple of years before the next one comes along. To be able to be on their weekly adventures, it affords the storytelling level of depth and complexity a two-hour movie just can’t achieve in that way.

Q: It’s astonishing how much matter you got into these things. Some storylines that only lasted an episode I remembered as seasonal arcs.

A: The sheer tonnage of story and character we were able to pack into “Discovery” every episode was kind of incredible. The thing to keep in mind is that “Discovery” was made as streaming was exploding, so what I think you’re also seeing there is a lot of writers who were trained in the network world with an A, B and C story applying it suddenly to a very different kind of storytelling in a much more cinematic medium. And when you have that kind of scope it starts to become really, really big. Sometimes that works really, really well and sometimes it was too much. And we were figuring it out; it was a bunch of people with flashlights in the dark, looking for how to interpret “Star Trek” now, since it had been 12 years since it had been on a television screen.

Q: Did “Strange New Worlds” come out of the fact that everybody loved seeing Christopher Pike in “Discovery?”

A: I really have to credit Akiva Goldsman with this. He knew that I was going to bring Pike into the premiere of the second season of “Discovery,” and said, “You know, there’s an incredible show about Capt. Pike and the Enterprise before Kirk takes over; there’s seven years of great storytelling there” — or five years, depending on when you come into the storyline. I said, “We have to cast a successful Pike first, so let’s see if that works. Let’s figure out who’s Number One, and who Spock is,” which are wildly tall orders. I hadn’t seen Anson Mount in other things before (he was cast as Pike), and when he sent in his taped audition it was that wonderful moment where you go, “That’s exactly the person we’re looking for.” Everybody loves Pike because he’s the kind of leader you want, definitive and clear but open to everyone’s perspective and humanistic in his response. And then we had the incredibly tall order of having Ethan (Peck) step into Leonard (Nimoy’s) and (Zachary Quinto’s) shoes.

Q: What can you tell me about “Starfleet Academy?” Is it going to be Earth- or space-based?

A: I’m going to say, without giving anything away, both. Right now we’re in the middle of answering the question what does San Francisco, where the academy is, look like in the 32nd century. Our primary set is the biggest we’ve ever built. (It will be set) in the “Discovery” era. There’s a specific reason for that. As the father of a 17-year-old boy, I see what my son is feeling as he looks at the world and to his future. I see the uncertainty; I see all the things we took for granted as given are not certainties for him. I see him recognizing he’s inheriting an enormous mess to clean up and it’s going to be on his generation to figure out how to do that, and that’s a lot to ask of a kid. My thinking was, if we set “Starfleet Academy” in the halcyon days of the Federation where everything was fine, it’s not going to speak to what kids are going through right now. It’ll be a nice fantasy, but it’s not really going to be authentic. What’ll be authentic is to set it in the timeline where this is the first class back after over 100 years, and they are coming into a world that is only beginning to recover from a cataclysm — which was the Burn, as established on “Star Trek: Discovery,” where the Federation was greatly diminished. So they’re the first who’ll inherit, who’ll re-inherit, the task of exploration as a primary goal, because there just wasn’t room for that during the Burn — everybody was playing defense.

Q: And then you’ve got the “Section 31” movie.

A: “Section 31” is Michelle Yeoh’s return as Georgiou. A very, very different feeling for “Star Trek.” I will always be so grateful to her, because on the heels of her nomination and then her Oscar win, she just doubled down on coming back to “Star Trek.”

Q: Are you looking past “Starfleet” and “Section 31” to future projects?

A: There’s always notions and there are a couple of surprises coming up, but I really try to live in the shows that are in front of me in the moment because they’re so all-consuming. I’m directing the first two episodes of “Starfleet Academy,” so right now my brain is just wholly inside that world. But you can tell “Star Trek” stories forever; there’s always more. ... I take great comfort because “Star Trek” really only belongs to Gene Roddenberry and the fans. We don’t own it. We carry it, we try to evolve it and then we hand it off to the next people. And hopefully they will love it as much as we do.