Roast the sweet potatoes. Preheat the oven to 400°F. Line a large baking sheet with parchment paper. Prick the sweet potatoes several times with a sharp knife, both front side and back. Place the potatoes on the lined baking sheet in a single layer and into the oven for 60-80 minutes.
Remove the potatoes from the oven. You will know the potatoes are done once a knife easily glides through the middle. Set them aside for 5 minutes to cool.
Peel the potatoes. Once the potatoes are cool enough to handle, scoop out the flesh into a large mixing bowl and discard the skin.
Break up the potatoes. Using a potato masher, potato ricer, hand mixer, or stand mixer with a whisk attachment, mash the potatoes just enough to break up the starch. (I use a stand mixer with a whisk attachment and I have also used a potato ricer.)
Brown the butter. In a medium-sized skillet melt the butter over medium-low heat. Once melted, add the sage leaves. Continue to cook until the butter, whisking continuously, until it begins to foam and turn a nice golden-brown color with brown flecks at the bottom of the pan. The butter will start to omit a nutty aroma which is a good indication that it's close to finished. (There is a short window between burnt butter and brown butter, so make sure to watch closely.)
Remove the sage leaves. Once the butter has browned, remove the pan from the heat and quickly transfer the sage leaves to a paper towel using a slotted spoon or tongs. Pour the brown butter into a small glass bowl, and let it cool for 5 minutes.
Add the milk, butter, and spices. Reserve 2 tablespoons of the browned butter for the end, and add the rest to the bowl with the potatoes, along with warmed milk, salt, pepper, and nutmeg.
Mash the potatoes. Turn on the stand mixer or other method of choice, and mash the potatoes until they are smooth. Add more warm milk if needed. Once the potatoes have reached your desired consistency.
Transfer mashed potatoes to a serving bowl. Top with the remaining brown butter. Crumble a few sage leaves on top and add a few for garnish. Serve.