der Studienplatz
university place
The admission or assigned place for a person to study at a university or college.
Sie hat endlich einen Studienplatz für Medizin in Berlin bekommen.
She finally got a place to study medicine in Berlin.

university place
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university place
The admission or assigned place for a person to study at a university or college.
Sie hat endlich einen Studienplatz für Medizin in Berlin bekommen.
She finally got a place to study medicine in Berlin.

The word is a compound of 'Studium' (studies, in the form 'Studien-') and 'Platz' (place). So it literally describes a 'place to study' at a higher education institution.
Die Suche nach einem Studienplatz kann sehr stressig sein.
The search for a university place can be very stressful.
Common verbs used with 'Studienplatz' (university place) are: 'sich um einen Studienplatz bewerben' (to apply for a university place), 'einen Studienplatz bekommen/erhalten' (to get/receive a university place), 'einen Studienplatz annehmen oder ablehnen' (to accept or decline a university place).
Er hat sich um einen Studienplatz in drei verschiedenen Städten beworben.
He applied for a university place in three different cities.
Pay attention to the prepositions: you apply 'um' einen Studienplatz (for a university place). You get a university place 'für' a particular subject and 'in' a particular city.
Er hat einen Studienplatz für Informatik in Aachen bekommen.
He got a place to study computer science in Aachen.
admission / registration
'die Zulassung' and 'der Studienplatz' can both be used in the context of studying. 'Zulassung' means official admission to study at a university or college. 'Studienplatz' means the specific university place in a degree program that a person gets. In many situations, the two are very close: someone who receives admission often also gets a university place. Still, 'Zulassung' is more formal and emphasizes the university's decision, while 'Studienplatz' sounds more natural when talking about the opportunity or place in a program.

Nach langem Warten hat Max einen Studienplatz in München bekommen.
After a long wait, Max got a university place in Munich.
Alina hat die Zulassung für das Medizinstudium per E-Mail erhalten.
Alina received her admission to study medicine by email.