Rub the cut side of garlic all over a stove-safe fondue pot (or other pot if transferring to ceramic fondue pot).
Add wine and bring to a simmer on your stove over medium-high heat.
Meanwhile, toss grated cheese with cornstarch in a large ziploc bag or in a mixing bowl.
One handful at a time, stir cheese into hot wine in a zigzag pattern, letting it melt before adding an additional handful. Once completely melted, add kirsch, if using, and let heat 1-2 minutes. Taste and season with salt, pepper and nutmeg. Serve with your favorite dippers.