Posted this initially in error on the History and German thread...
uk.diplo.de/uk-en/02/visa/university-studies/2449178
Visa-free travel
British nationals do not require visas or residence permits for study or research visits not exceeding 90 days within a 180-day period - provided that they do not pursue any economic activity. This privilege also applies to all other nationals who do not require visas for visits not exceeding 90 days.
For any stay exceeding the time limit above, British citizens may apply to the local immigration office (“Ausländerbehörde”) for their residence permit after arrival in Germany and without having obtained a visa prior to travelling to Germany. Please note that any application for a residence permit needs to be filed within the first 90 days of your stay in Germany. We strongly recommend contacting the local immigration office as soon as possible after your arrival in Germany in order to secure a timely appointment. The visa-free privilege is also extended to citizens of Andorra, Australia, Brazil, Canada, El Salvador, Honduras, Israel, Japan, Korea (republic), Monaco, New Zealand, San Marino and the United States of America. It is important to note that you may only take up employment once you have been issued a residence permit explicitly authorising the employment.
All other nationalities require a visa prior to travelling to Germany.
Hmm... Slightly confusing, as it then goes on to say what you neeed to show when applying for your visa to study abroad, including students enrolled at a UK university entering Germany to study, including on a semester / year abroad.
DD was in France last year and definitely was under the impression that for that country, she needed a student visa and she qent through a process v.similar to the one described on the German site (I think that the TLS centre in Wandsworth processes visa applications for both). In her case, she had to wait quite a long time for her initial appointment, although that was due to a Covo-relayed office closure at TLS, which should not be an issue this year, but then it only took a week for the visa to be approved and she flew out two days later. Hopefully the German officials would be just as efficient.