To prepare the fennel:

1. Wash the bulb and trim both ends (the thick base and the top stem with the fronds). Set aside a few fronds for final garnishing. Slice the fennel bulb down the middle lengthwise. Cut out the core from the center bottom of each fennel half. Thinly slice each half from top to bottom, either with a knife or mandoline.
2. As you caramelize the fennel, bring a large pot of salted water to a boil to get it ready for the pasta. Heat the pot to about medium so the water is boiling just as you are finishing the fennel.
3. Heat a large non-stick skillet over medium high heat and melt 1/2 tsp of coconut oil. Take half of the fennel slices and arrange in a single layer on the bottom of the skillet, ensuring none are overlapping. Sprinkle with 1/8 tsp salt.
4. Cook the fennel slices, untouched, until the bottoms are golden brown, about 3-4 minutes. Flip over onto the other side and cook, untouched, until golden brown, another 3-4 minutes. Drizzle 1/2 tsp of maple syrup over the fennel and toss to coat. Cook for an additional minute, then remove from the pan onto a separate plate. Repeat for the remaining half of fennel slices (if you do not have a skillet large enough, work in smaller batches, adjusting the salt/coconut oil/maple syrup quantities as needed).

Pasta

1. Cook the pasta according to package directions. As the pasta cooks, heat a small non-stick pan over medium. Melt the coconut oil, then add the diced shallot. Cook until softened, about 2-3 minutes. Add 1/2 tsp of maple syrup and cook for one minute more. Remove from heat and set aside.
2. Reserve 1/8 cup of hot pasta water before draining the pasta. Drain, then return the pasta to the same pot. Place the pot back on the stove, reducing the heat to medium low.
3. Add the cooked shallot, caramelized fennel, red pepper flakes, Burrata, and reserved pasta water to the pot. Stir to combine and season with salt and pepper, to taste. Cook for 2-3 minutes until the Burrata is melted.
4. Remove pot from heat and divide pasta into two bowls. (If the fennel/Burrata have melted into clumps as you are serving, just separate with a fork.) Garnish with 1 tsp of reserved fennel fronds. Serve immediately.