Adi Shankaracharya established four mathas at the cardinal corners of India: Dwarka (west), Puri (east), Shringeri (south), and Jyotirmath/Badrinath (north). None of these are located in Himachal Pradesh, making it the correct answer. The other three states (Andhra Pradesh, Uttar Pradesh, and Arunachal Pradesh) all host or border Shankaracharya's mathas.