Stir the sugar, water, and sliced jalapeño together in small saucepan over medium-high heat.
Continue to stir until the sugar has dissolved, and the mixture comes to a boil. Lower the heat, and let it simmer for 15 minutes.
Strain the peppers out, and transfer the syrup into a heat-proof jar. Let the syrup cool completely in refrigerator before using.
Combine the vodka, triple Sec, 1 ounce of the prepared jalapeño simple syrup, lime juice, and a few ice cubes together in a cocktail shaker. Shake well, until cold.
Strain the kamikaze shots into 2 shot glasses, and garnish with sliced jalapeño and lime slices, optionally.