Melt butter in heavy saucepan. Add mushrooms and cook over medium heat until browned. Add garlic and saute 30 seconds. Add wine and let reduce by 3/4.
Slowly add heavy whipping cream while stirring. Reduce heat to medium-low, and let come to a gentle simmer. Gradually add in cheese while stirring. Remove from heat. Add salt and pepper to taste. Serve immediately over hot pasta.