Best results: 58th USSR Championship 1991, 15th; Pancevo 1989, 1st; Teheran Open 1991, 1st; Villa de Banasque Open 1999, 1st; Oberwart Open 2002, 1st; Calcutta Open 2002, 3rd.
Kuzmin is known to have been the former coach of Anatoly Karpov, Alexander Morozevich, the Qatar Chess Federation and Mohamed Al-Modiahki.