Heat a small, dry skillet over medium-high heat. Add the sesame seeds, and stir constantly until they are very toasted. They should be oily and toasty but not burnt! Place the sesame seeds in a bowl and let cool slightly. Wipe the pan, and set aside.
Place the red miso paste, chili sauce, garlic, ginger, mirin, sesame oil, and toasted sesame seeds in a food processor or high-powered blender. Pulse or blend until smooth, scraping sides of the bowl occasionally.
Add the spicy red miso paste to the small skillet, and cook over medium heat for about 6 minutes, stirring frequently to prevent burning. Place the spicy red miso paste in a bowl and refrigerate until ready to use. Wipe the pan clean, and set aside for future use.
Gently place the eggs in a small pot and fill with water until the eggs are completely covered. Add a few pinches of salt. Bring to a boil, and then lower it to a simmer. Let the eggs cook for 6 minutes. Drain and immediately add to ice-cold water for about 10 minutes. Peel, cut in half, and set aside.
Heat the oil in a large soup pot. Add the beef, and cook until the beef is no longer pink. Drain the fat and add the soy sauce, brown sugar, and pepper. Cook for a couple of minutes, and place the beef in a bowl. Set aside.
Add the stock and shallots to the pot, and bring the stock to a simmer. Place a sieve halfway into the liquid, and put 2/3 c. spicy red miso paste into the sieve. Stir until the mixture is mostly dissolved, about 5 minutes. Discard the solids left in the bottom of the sieve.
Let the stock simmer for about 5-10 more minutes. Remove the shallots and discard. Taste the broth, and add more salt and pepper as necessary.
While the broth is simmering, heat the small skillet over medium-high heat. Add the corn, and cook, stirring occasionally until the corn is lightly charred, about 5 minutes. Set aside until ready to use.
Cook the noodles according to package directions. Divide the noodles and ground beef between 6 bowls. Ladle the broth over the noodles. Top with corn, scallions, soft boiled eggs, and additional chili sauce. Enjoy!