The North American wizarding school is Ilvermorny.
The North American wizarding school is called Ilvermorny. It is mentioned in Fantastic Beasts and Where to Find Them, and is the school that Tina and Queenie Goldstein attended.
“JACOB
(putting on his jacket)
Did you say school? Is there a school? A wizardry school here? In America?
QUEENIE
Of course – Ilvermorny! It’s only the best wizard school in the whole world!”
- Fantastic Beasts and Where to Find Them: The Original Screenplay
It is located on Mount Greylock, Massachusetts, in the United States.
The great North American school of magic was founded in the seventeenth century. It stands at the highest peak of Mount Greylock, where it is concealed from non-magic gaze by a variety of powerful enchantments, which sometimes manifest in a wreath of misty cloud.
- Ilvermorny School of Witchcraft and Wizardry (wizardingworld.com)
It takes children from all over North America, so presumably this also means that it is the main wizarding school for Canada, the United States of America, and Mexico.
Ilvermorny’s reputation grew steadily throughout the following years. The granite house expanded to a castle. More teachers were recruited to meet the growing demand. Now witch and wizard children from all over North America were being sent to learn there and it became a boarding school. By the nineteenth century, Ilvermorny had gained the international reputation it enjoys today.
- Ilvermorny School of Witchcraft and Wizardry (wizardingworld.com)
Ilvermorny is also internationally known.
The South American wizarding school is Castelobruxo.
A wizarding school in Brazil is first mentioned, but the name is not given, in Harry Potter and the Goblet of Fire.
“Who d’you reckon they are?’ he said. ‘They don’t go to Hogwarts, do they?’
‘’Spect they go to some foreign school,’ said Ron. ‘I know there are others, never met anyone who went to one though. Bill had a pen-friend at a school in Brazil … this was years and years ago … and he wanted to go on an exchange trip but Mum and Dad couldn’t afford it.”
- Harry Potter and the Goblet of Fire, Chapter 7 (Bagman and Crouch)
Later, a Pottermore writing states that Castelobruxo, the South American wizarding school is in the Brazilian rainforest, and it takes students from all over South America.
The Brazilian school for magic, which takes students from all over South America, may be found hidden deep within the rainforest. The fabulous castle appears to be a ruin to the few Muggle eyes that have ever fallen upon it (a trick shared by Hogwarts; opinion is divided on who got the idea from whom). Castelobruxo is an imposing square edifice of golden rock, often compared to a temple. Both building and grounds are protected by the Caipora, small and furry spirit-beings who are extraordinarily mischievous and tricky, and who emerge under cover of night to watch over the students and the creatures who live in the forest.
- Castelobruxo (wizardingworld.com)
Castelobruxo is the main South American wizarding school, and therefore presumably is where most wizards in the South American continent study.
Are there wizarding schools in the rest of the “magical” world?
– Treborcram Dec 09 '13 at 17:28