We know that there's different regional styles. In book 7, there's an editorial that references specialized Egyptian magic. The editorial about Dumbledore's friend mentions that it used to be customary to travel the world to study various branches of magic, after finishing school. It specifically mentions Egyptian magic. Furthermore, when Ron's dad won the lottery, they went to Egypt, and Ron mentions Egyptian wizards setting up curses on tombs.
Furthermore, some spells are just going to be uncommon in certain areas. For example, the spell to turn a person into a shark would be obscure in a desert area.
Additionally, different schools teach different magical fields. For example, Drumstrang teaches the Dark Arts explicitly, whereas most schools skip that in favor of defensive magic. Magical creatures, and thus the magic to handle them, also varies. Dementors are unknown in tropical areas, and Yetis are unknown outside of tundra.
Furthermore, Herbology, the study of magical plants, will vary radically. Different areas have different plants. Some guy in Nepal grows gravity-resistant trees. This affects Wandlore. Different areas have different plants, so naturally the materials for Wandlore would be varied, as would their use. For example, in a high-altitude area, such as Tibet, the variety of trees that naturally grow there would be so limited that the field would be simple for the function of manufacturing. Yet in Brazil, where you've got half the trees known to man easily available in the Amazon, the field would have a lot of experimentation.
