Melt the butter in a saucepan over medium heat. Continue to cook, swirling occasionally, until the butter turns golden brown and smells nutty. Remove from heat and let cool for 5-10 minutes.
In a large bowl, cream together the browned butter, brown sugar, and granulated sugar until well combined.
Beat in the eggs one at a time, then stir in the vanilla extract.
In a separate bowl, whisk together the flour, baking soda, and salt.
Gradually add the dry ingredients to the wet ingredients, mixing until just combined. Do not overmix.
Stir in the chocolate chips.
Cover the bowl and chill the dough for at least 30 minutes (or up to 2 days). This helps prevent spreading.
Preheat your oven to 350°F (175°C). Line baking sheets with parchment paper.
Scoop rounded tablespoons of dough onto the prepared baking sheets, leaving about 2 inches between cookies.
Sprinkle the tops of the cookies with flaky sea salt.
Bake for 10-12 minutes, or until the edges are golden brown and the centers are still slightly soft.
Let the cookies cool on the baking sheets for a few minutes before transferring them to a wire rack to cool completely.
Notes
For an even chewier cookie, underbake slightly. These cookies are best enjoyed fresh but will keep in an airtight container for up to 3 days.