Bring medium pot to boil, boil potatoes for 15 minutes or until tender.
Drain potatoes and adjust heat to medium.
Add olive oil then butter, when butter has melted add shallots and sauté for 2-3 minutes
Add chives, thyme and potatoes to the pan with the butter and olive oil and mash adding broth until you have reach your desired consistency.
Add salt and pepper to taste
Cut goat cheese into 4 slices.
Serve on dinner plate with a slice of goat cheese on top.