Preheat the oven to 400°F (200°C)
Peel and slice the carrots and place the slices into a mixing bowl. Add melted butter, light brown sugar and salt. Toss the carrot slices with the melted butter and sugar until all the pieces are well coated.
Transfer to a parchment lined baking sheet and spread out in a single layer. Sprinkle cinnamon and nutmeg over the top of the carrots.
Bake for 30 minutes. The spaces between the carrots will be burnt, but don't worry about that because the actual carrot slices will not be burnt, just perfectly caramelized.
Add the caramelized carrot slices to the blender along with half a cup of milk and blend it into a smooth purée. Let the carrot purée cool completely before using it in your ice cream.
Add heavy cream to the bowl of your stand mixer and whip it until you have stiff peaks.
Add sweetened condensed milk and carrot purée (cooled) and whip it in until thickened.
If you don’t have an ice cream machine then transfer the carrot ice cream mix to a 9×5 loaf pan and smooth down. Cover it with foil and freeze until set.
If you do have an ice cream machine then transfer the ice cream mix to your ice cream machine and churn it until it reaches soft serve consistency.
When it reaches soft serve consistency, transfer it to a 9x5 loaf pan and smooth down. Cover with foil and freeze until set.
Scoop and serve!