Complex sentence: He is artist in residence at American Ballet Theatre and the former director of the Bolshoi Ballet, having trained under Pyotr Pestov and Anna Markeyeva at the Bolshoi Ballet School.
Split into simpler sentences: He is artist in residence at American Ballet Theatre and the former director of the Bolshoi Ballet. He trained under Pyotr Pestov and Anna Markeyeva at the Bolshoi Ballet School.