Mix ½ cup lukewarm water, ½ teaspoon sugar and yeast in a large glass and let rise for 10 minutes.
Mix 2 cups lukewarm water, 2 tablespoons sugar, salt, oil and yeast mixture on low in a stand mixer.
Add flour 1 cup at a time. When dough releases from side of bowl, turn out on a well floured surface and knead until slightly sticky and soft.
Cover in a well oiled large bowl, make sure top of dough is coated in oil as well, and cover with plastic wrap. Let sit for an hour or until doubled in size.
Punch down dough. Take small portions of dough and make into a cigar shape (about 2 oz.) for hotdog buns and disk shape (about 3 oz.) for hamburger buns. Place on a baking sheet lined with parchment paper or silicone mat, cover with a tea towel, and let rise for about 30 minutes.
Beat egg white with a splash of water and brush on the top of each bun. Bake at 375 for about 10-15 minutes or until golden brown.