Cuir crìoch air an abairt a leanas: Ann an 2003 bhuannaich e tiotal an t-saoghail ann an dreuchdan 3-gluasad. Ann an 2008 bhuannaich e am bonn òir aig na
1st Geamannan inntinn an t-Saoghail, a chaidh a chumail ann am Beijing, ann an damha Ameireaganach. Choisinn Moiseyev am bonn òir a-rithist ann an damsa Ameireaganach aig Geamannan inntinn na Cruinne SportAccord 2012 ann am Beijing. Ann an 2013 chaill e an 3-Move World Title Match an aghaidh Michele Borghetti.