Brown the butter

• Melt the butter in a saucepan over medium-high heat, stirring continuously, until slightly browned.
• Pour the brown butter into a baking pan and set aside.

Preheat the oven

• Preheat the oven to 350 °F.

Mix the dry ingredients

• Whisk together the flour, baking powder, salt and cinnamon in a bowl.

Mix the wet ingredients

• In a large bowl, whisk together the milk, vanilla and sugar.
• Add the dry ingredients and stir with a spatula until just combined.

Assemble the cobbler

• Spoon the batter over the brown butter in the pan, without mixing.
• Scatter the cream cheese chunks over the batter.
• Sprinkle the brown sugar all over, then gently pour the hot water on top.

Bake the cobbler

• Bake at 350 °F until golden brown and mostly set; the bottom will still be gooey.

Make the cinnamon sugar topping

• While baking, mix the sugar and cinnamon together.

Finish and serve

• Sprinkle the cinnamon sugar immediately over the hot cobbler.
• Let cool slightly, then serve warm with a scoop of vanilla ice cream.