Wash kumquats under cold running water and strain in a colander.
With a sharp knife, slice kumquats into thin rounds. Remove all of the visible seeds with the tip of a knife. I like to use a small pairing knife for this.
Bring a medium-large pot of water to a boil. Throw in the kumquat slices and cook for 2 minutes. Transfer to an ice bath and cool completely.
In a medium-large saucepot, combine sugar, water, vanilla, and candied ginger. Bring to a boil and stir with a spoon until sugar is dissolved. Reduce heat to a gentle simmer and add kumquats. Cook for 45 minutes, stirring every 15 minutes.
With a slotted spoon, transfer kumquats from the simple syrup to a parchment-lined baking tray. In a 200° oven, cook for 2 hours. This with dry the kumquats out.
When the kumquats are completely cooled down, transfer to a bowl with sugar. Coat in sugar and store in a mason jar.