Make Tom Yum Paste: Blitz together shallots, garlic, chili, galangal, kaffir lime leaves, and sun-dried tomatoes.
Prepare Shrimp Stock: Saute shrimp shells to make a concentrated stock, then set aside.
Cook Tomato Mixture: Cook garlic, shallot, and tomato paste in oil. Add in the Tom Yum paste and cook down until it starts to stick to the pan.
Deglaze and Simmer: Deglaze the pan with the shrimp stock and let it simmer.
Blend and Strain: Blend the mixture as best as you can, then strain out as much liquid as possible, leaving behind every solid.
Combine and Cook Pasta: Combine the strained liquid with a touch of heavy cream and then add your pasta. Cook until the pasta is creamy and has a lovely orange color.
Serve: Top with chives or cilantro and serve.