In the bowl of your slow cooker, combine the potatoes, parmesan rind (if using), heavy cream, milk, sage, thyme, and garlic. Cover and cook on high for 4-5 hours or on low for 6-8 hours, until the potatoes are fork tender. Switch the slow cooker to warm.: The kitchen fills with a gentle, herby steam as the potatoes and aromatics simmer; you will smell the sweetness of the garlic and the warm, almost nutty note from the parmesan rind. This long, slow cooking allows the starches in the potatoes to relax, producing a fluffier interior when riced or mashed, and it lets the flavors permeate the dairy. Keep an eye on the edge of the slow cooker in the first hour to ensure there is gentle simmering and not a boil, which helps prevent scalding the dairy. A common mistake is lifting the lid too often, which lets heat escape and extends the cooking time; resist peeking unless you need to. If you notice a film forming on top of the cream, a gentle stir will reincorporate it without affecting texture.
Drain the potatoes, reserving all of the cream. Discard the thyme, sage, and parmesan rind (if used). Press the potatoes through a potato ricer, adding them back to the slow cooker. Alternately, you can add the potatoes back to the slow cooker and mash with a potato masher.: When you drain, the cream will glisten and smell infused; reserve it because it is the seasoning and texture lifeline for the mash. Removing the herb sprigs and rind prevents woody bits and chewy chewables in the final dish. Passing the hot potatoes through a ricer yields pillowy strands that feel light and airy, while mashing gives a more rustic mouthfeel. The sound of the ricer is a soft, satisfying squeeze; the texture should be uniformly smooth. Avoid overworking the potatoes with a food processor or blender, which can make them gluey. If they feel gummy after mashing, fold in reserved cream gently rather than beating aggressively.
Add 1 1/2 cups of the reserved cream and the butter. Continue to add more of the cream until your desired consistency is reached. Season the potatoes with salt and pepper. Stir in the cheese, cover, and cook another 15 minutes, or until melted and creamy. Keep the potatoes covered, on warm, for up to 4 hours.: The first addition of cream and room temperature butter turns the dry riced strands into a lusciously wet mash; you will notice steam rise and a glossy sheen develop as the butter melts. Add the reserved cream gradually, stirring after each addition until you reach a texture you enjoy. This measured approach prevents an overly loose consistency. Taste and season with kosher salt and black pepper in small increments because the butter and any parmesan rind may already have added salt. A frequent issue is adding too much salt at once; if that happens, add more potatoes or a splash of milk to balance.
Stir in the cheese, cover, and cook another 15 minutes, or until melted and creamy: Folding in shredded gruyere should create a ribbon of melted cheese that binds everything into a glossy, cohesive mass; you will hear soft swirls as the spoon moves and see the cheese melting into pockets of cream. Covering for a short finish helps the cheese melt through without separating and gives the salts and fats a moment to harmonize. If the mixture looks slightly oily, stir gently and allow the residual heat to bring it together; overheating can cause the cheese to break. A common misstep is adding cold cheese to a very hot pot which can cause clumping; bringing the cheese to room temperature or adding it in stages helps avoid this.
Keep the potatoes covered, on warm, for up to 4 hours: Leaving the mash on the warm setting keeps it at a serviceable temperature while preserving creaminess. You will notice the aroma deepen over time and the surface may form a thin skin if left uncovered; keep the lid on and stir gently every 30 to 45 minutes to maintain a smooth texture. If the mash firms as it holds, stir in a splash of the reserved cream to revive silkiness. Overheating while holding is the biggest risk, so monitor the warm setting and avoid switching to high, which can dry out the dish.