Using a swivel peeler, shave each asparagus stalk into thin pieces. You won't be able to peel each stalk perfectly, so chop whatever is left with a knife. This contributes a nice mix of textures.
Prepare the dressing by combining the olive oil, lemon juice, fresh tarragon and mint, sea salt, and grated parmesan in a large bowl. Whisk together.
Add the shaved asparagus to the bowl and mix until coated. Transfer to plates, serve immediately, and enjoy!
Notes
This is best served immediately but can keep in the fridge for a day or two.