First make the mayo by chopping chipotle chillies and mixing with the mayo. Taste and season with salt if needed.
Combine beef and parmesan and form into 4 burger patties. Heat a large frying pan on a medium high heat. Add a little oil. Reduce heat to medium and then cook the burger patties for 4-5 minutes on each side, or until well browned on the outside and no longer pink in the middle.
While the burgers are cooking, shave the cabbage using a mandoline or sharp knife. Finely chop coriander stems and coarsely chop the leaves. Toss shaved cabbage and chopped coriander in a bowl with the 2-3 tablespoons of extra mayo.
When the burgers are cooked, divide chipotle mayo between two plates smearing into an off centered circle. Top with cooked burger patties. Add slaw on the side and finish with an extra grating of parmesan.