Most synagogues do not have a single leader, but are run by a committee established by the congregants. In the United States, the leader of this committee is called the President. It is worth noting that the President is almost always a Lay Jew as opposed to a person with religious experience.
If the question meant to ask, who leads services within a synagogue, that would be a Rabbi and/or a Cantor. However, it would not be necessary to be a Rabbi or Cantor to actually lead services and there are some smaller congregations where members exclusively lead services.
a synagogue
Anything modest and dignified.
They usually go to the synagogue, as this is their day of worship (Sabbath).
These religious leaders were called the Kohanim or High Priests. In terms of regional and religious politics, they were called the Sadducees. Opposing them were the Pharisees or populist Jewish leaders that would eventually become the Rabbinate.
Synagogue or tabernacle
The sisterhood, led by the president of the sisterhood.
The Jewish leaders whom you're asking about are called Rabbis. Each Rabbi may lead a synagogue (Jewish place of prayer) and/or a Jewish community.
No one works as a priest in a synagogue. Although Jewish men know if they belong to the priestly tribe today, there is no active priesthood in Judaism.
Jews do not have churches. The Jewish place of worship is called a synagogue in English.
One of them is called a "synagogue".
The Jewish House of Worship is called a synagogue or just a "temple."
There is no church or reference to church in the Jewish religion. A Jewish house of worship is called a synagogue.
The Jewish peoples place of worship is called a Synagogue.
A Jewish house of worship is called a synagogue. Jews often pray at home, as well.
The Great Belz Synagogue in Jerusalem is likely the biggest Jewish synagogue in the world currently.
The "cantor" is the person who does most of the singing in synagogue.
The custom of a groom being called to the Torah in synagogue on the Sabbath before his wedding is called an aufruf.