Preheat oven to 375℉. Line a baking sheet with parchment paper.
In the bowl of a stand mixer, beat the butter for about a minute on medium speed until smooth. You may need to scrape down the bowl several times. Add 1¾ cups (350 grams) of the granulated sugar, and continue beating until fluffy, another 3-4 minutes.
Scrape down mixing bowl to ensure all the butter and sugar are incorporated together. Add the egg and vanilla, then beat again at medium speed until combined.
In a medium bowl, stir the flour, cocoa powder, ground ginger, baking soda, and salt together with a fork to aerate and combine.
With the mixture running on the lowest speed, gradually add the dry ingredients to the mixing bowl, then mix on low until just combined (about another 30-60 seconds).
Place the remaining ½ cup (100 grams) of granulated sugar into a shallow bowl. Using a standard cookie/ice cream scoop with a diameter of 1½ inches, form the dough into balls (about 37 grams each), then roll the dough ball in the sugar bowl to coat, and place 6 cookies no closer than 2 inches to each other on a parchment-lined sheet pan.
Bake one pan of cookies at a time for about 11-13 minutes, rotating the pan halfway through. The cookies are done when the centers are puffy and starting to crackle plus the edges are set.
Let the baked cookies cool on the pan for 5-10 minutes before trying to transfer them, meanwhile bake a second pan if you have multiple cookie trays.
Finished cookies will have cracked tops, be perfectly crunchy along the outside, and have a soft, chewy middle. They can be stored in the refrigerator for up to 3 days.
Notes
Frozen cookie dough can be kept for 3 months in an airtight container in the freezer.