I've studied a lot with some jazz violinists in my alter-ego string world. I love learning from them because they've really had to adapt jazz to instruments that were never meant to play it. They do a lot of chromatic, however where they really focus is on modulating between scales and learning those scales inside and out (starting from any note in the scale) and in every position on the instrument. The person I've studied with also highly encourages a lot of work on learning the 1, 3, 7 of every chord. Sure, he likes the 5 also, but the 7 is much more "jazzy" lol