Just do the same you did with Java, but in Kotlin 🙂 Or take a look at number of Kotlin-targeted server-side frameworks, such as #ktor, or Javalin (recently went 1.0), or http4k. Take a look at #spring Kotlin support if you are into it.
There was a Vert.x presentation done at KotlinConf a few days ago. Not sure if the video is available yet ❓ @julienviet - Is there a slide version available of the KotlinConf presentation?