First make your infused cream. Combine heavy cream, shallot, garlic, thyme, bay leaf, coriander, and fennel in a sauce pan. Heat the cream until the edges start to bubble and the cream feels hot. Remove from the heat and let it steep for 20 minutes.
While the cream is steeping, boil your potatoes. Cut potatoes into small chunks and add to a pot with salted water. You will probably want to add 1-2 tablespoons of salt to the water. Bring water to a boil. Let the potatoes boil until they are cooked through. Drain the potatoes.
Use a potato ricer or potato masher to mash the potatoes. I typically pass the potatoes through a potato ricer into a large bowl.
Strain the infused cream and add it to the potatoes. Mix until well incorporated.
Next, add the butter and mix until incorporated.
Once the cream and butter are mixed in, taste for seasoning. Add salt and pepper to taste.
Garnish with chives and serve.