In a small bowl, combine 1 cup warm water and active dry yeast. Stir with a fork. Allow to stand for three minutes. Add water-yeast mixture, egg, light corn syrup, and vegetable oil to dry ingredients.

Fit stand mixer with paddle attachment. Mix on medium speed until dough forms, about 4 minutes. The dough should be firm but not dry. If any dry ingredients remain at the bottom of the bowl or if the dough seems dry, add the additional 2 tablespoons water.

Turn dough out onto lightly white rice-floured counter. Dust your hands with white rice flour and knead dough into a ball until smooth. Take care not to use too much pressure while kneading.

Transfer dough to lightly greased bowl. Lightly brush the dough with oil. Cover the bowl with plastic wrap and allow to rise until almost doubled in size, about 1 to 1 1/2 hours.

Adjust oven racks to middle position and preheat oven to 425°F. Bring 4 quarts of water to a rolling boiling. Turn dough out onto a very lightly white rice floured countertop. Punch down dough gently to deflate. Cut into 12 pieces. Cover dough with plastic wrap. One at a time, knead each piece of dough until smooth. Then, roll out the dough pieces into 12 to14-inch logs. (You want little to no white rice flour on the area of the counter where you are rolling the dough. If there is too much flour on the outside of the dough, the pretzel dough won't stick to itself when you go to shape it.)

Line two rimmed baking sheets with parchment paper. Working one log at a time, form the dough into a into "u". Twist each end together and then press the rope into the bottom of the "u". You want to press the dough firmly to ensure the ends stick to the "u" or the pretzel can unravel during boiling. Place shaped pretzels on prepared baking sheet.

Bake until golden brown, about 25 minutes, rotating baking sheets halfway during baking. Remove and allow pretzels to cool. Pretzels are best served the day they're made. If desired, freeze once cooled and reheat in a warm oven.