der Römer
Roman
An inhabitant of the ancient Roman Empire.
Die Römer bauten beeindruckende Aquädukte in ganz Europa.
The Romans built impressive aqueducts all across Europe.

Roman / Römer
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Roman
An inhabitant of the ancient Roman Empire.
Die Römer bauten beeindruckende Aquädukte in ganz Europa.
The Romans built impressive aqueducts all across Europe.

All meanings of 'der Römer' (Roman / Römer glass / Römer) are derived from the city 'Rom' (Rome). The word therefore describes either a person from Rome, an object related to Rome, or a place named after Rome.
Die Geschichte Roms und der Römer fasziniert mich.
The history of Rome and the Romans fascinates me.
Since 'Römer' (Roman / Römer glass / Römer) can mean very different things, context is crucial. If you are talking about history, it refers to the ancient person. If you are talking about wine, it refers to the glass. If you are talking about Frankfurt, it refers to the city hall.
Im Geschichtsunterricht lernen wir heute über die Römer.
In history class today, we are learning about the Romans.
When the wine glass is meant, it is often used with verbs such as 'trinken aus' (to drink from) or 'servieren in' (to serve in). It is typically used for German white wines.
Der Riesling wurde in traditionellen Römern serviert.
The Riesling was served in traditional Römer glasses.
As the name of Frankfurt's city hall, 'der Römer' (the Römer) is treated like a proper noun. In fixed expressions, especially with prepositions, no article is often used.
Viele Paare möchten gerne im Römer heiraten.
Many couples would like to get married in the Römer.
town hall
'das Rathaus' and 'der Römer' can both refer to a town hall, but not in the same scope. 'das Rathaus' is the general word for the administrative building of a city or municipality. 'der Römer', on the other hand, is a proper name: it is the name of the historic town hall in Frankfurt am Main. Learners may confuse the words when they read or hear about Frankfurt. Outside Frankfurt, people normally say 'das Rathaus', not 'der Römer'.

Vor dem Römer in Frankfurt machen viele Touristen Fotos.
Many tourists take photos in front of the Römer in Frankfurt.
Luisa muss morgen im Rathaus ihren neuen Ausweis abholen.
Luisa has to pick up her new ID at the town hall tomorrow.