Conversation so far:
What is important about this period of time for Schumann?
By Christmas he was back in Leipzig, at age 20 taking piano lessons from his old master Friedrich Wieck, who assured him that he would be a successful concert pianist.
Did he perform any concerts during this period?
Schumann abandoned the idea of a concert career and devoted himself instead to composition.
Why did he abandon the idea of a concert career?
During his studies with Wieck, it has been claimed that Schumann permanently injured a finger on his right hand.
How did he injure the finger on his right hand?
who said that the disability was not due to a mechanical device, and Robert Schumann himself refers to it as "an affliction of the whole hand".
How did this affect his ability to play the piano and other instruments?
Schumann abandoned the idea of a concert career and devoted himself instead to composition.
To this end he began a study of music theory under Heinrich Dorn, a German.
Do we know how old he was at this time?
CANNOTANSWER.
Was he self-taught when it comes to composition?
To this end he began a study of music theory under Heinrich Dorn, a German composer six years his senior and, at that time, conductor of the Leipzig Opera.

Question: Did he create any notable compositions during this time period?
Self-contained rewrite: Did Schumann create any notable compositions during the time Schumann was studying music theory under Heinrich Dorn, a German composer?