It's important to clarify that Amerigo Vespucci, the person the Americas are named after, was not a primary explorer like Christopher Columbus. He was a navigator and explorer who sailed to the "New World" several times, but his primary focus was mapping and documenting the areas he explored. He did not personally discover or claim vast territories like Columbus or other explorers did.

Here's what we know about Amerigo Vespucci's explorations:

* 1499-1500: He sailed with Alonso de Ojeda along the coast of South America (likely Venezuela and possibly parts of Colombia).

* 1501-1502: He led an expedition for King Manuel I of Portugal, exploring the coast of Brazil and making it as far south as the Rio de la Plata.

* 1503-1504: He sailed with Portuguese explorers and charted the coasts of Central America and South America.

Vespucci's significance lies in his detailed descriptions of the lands he visited, which challenged the European belief that they had reached the East Indies. He argued that they were, in fact, on a new continent. This led to the renaming of the "New World" from "Indies" to "America" in his honor.

In summary: Amerigo Vespucci's explorations primarily focused on the coasts of South America, Central America, and Brazil. He didn't discover new territories himself but his observations and writings contributed significantly to the understanding of the Americas as a separate continent.