Derek D. answered 04/30/19
Veteran Writing Teacher with Proven Success for Thousands of Students
The reason that participating seems off is that it is a gerund. You could continue your parralellism by replacing participating with participated, but I would suggest taking it even further and using "audited classes" in place of participating in a lot of classes given by professors, followed with "but never formally registered." Here is it all together:
After one year, I quit my job, said goodbye to my friends, went to Beijing to study philosophy, and audited classes, but never formally registered.