Start by preparing the glass. On a plate, mix together sea salt and lime zest. I recommend mixing it together with your fingers so you can pinch and crush the two together.
Then, run a lime wedge around the rim of the glass. Dip the glass into the salt and lime zest mixture. Set aside.
The next step is to prepare the margarita mix. Add a few pieces of jalapeño and ginger to the bottom of a cocktail shaker; then pour in simple syrup. (My recipe for simple syrup is linked in the notes section below.)
Use a muddler or the back of a wooden spoon to smash the jalapeño and ginger root into the simple syrup.
Next, add ice to the cocktail shaker and pour in tequila, orange liquor, and lime juice. Shake vigorously.
Add a few more ice cubes to the prepared glass. Then strain the margarita mixture into the glass.
Garnish with a few jalapeño slices and a wedge of lime.
You can find my recipe for simple syrup here. In that post, I've also included links to simple syrup that you can purchase.*This amount of salt and lime zest mixture should be enough for 4-6 glasses.