MSCA-ITN Salary, Tax and Social Security Contributions

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Hello Everyone, 

I hope everyone is safe in this current pandemic situation. 

I am PhD student at the University Hospital of Cologne. My institution asked me to contribute both employee and employer part of my social security. I far I know, employer should pay half of my social security contribution. Could you please confirm that I should pay for both?

Thanks and Best Wishes

Asif