It would have to be Alexander the great because before him Greece never had an empire, just a confederation of city-states.
from greek culture and greek ideas
No one expended the Greek empire because there was not a Greek empire. Alexander the Great, the king of Macedon, with allied Greek city-states conquered the Persian Empire. After his death his generals fought each other. This resulted in the division of Alexander's conquests into the Kingdom of Pergamon, the Seleucid Empire and the Ptolemaic Kingdom.
Alexander the Great had the largest Greek empire ever created, but it was not bigger than some Empires that were built later, such as the Roman or British ones.
The Hagia Sophia was the largest and most important Greek Orthodox Cathedral of the Byzantine Empire.
It took over the territories of its predecessors Assyria and Babylon, and expanded into North Africa, Thrace and Macedonia. They combined the armies if Persia and Media, and the fleets of Egypt, the Asian Greek city-states and Phoenicia.
Macedonia, which his father Philip expanded to take over the Greek city-states and planned to conquer the Persian Empire.
Alexander the Great expanded Greek culture not by wars, but by building Greek-model city-states in the Persian Empire which he conquered and then began to Hellenise.
Greek city-states within the Persian Empire in Asia Minor were induced to revolt against Persian rule, and it expanded to include mainland Greece.
Alexander´s empire was the largest the world had ever seen. An admirer of Greek culture, he worked to spread Greek influence throughgout his empire by founding cities in the lands he conquered.
There never was a "Greek empire".
Yes, he expanded Macedonia, brought the Greek city-states under his control, and prepared to take over the Persian Empire, but assassination ended this.
The first empire in the Fertile Crescent was the Sumerian Empire. Then they were defeated by the Akkad's. Then came the Babylonians. They were defeated by the Assyrians. Then the Persians. And finally they were overthrown by Alexander the great and his Greek armies.