Cika wannan jumla: A 2003 ya lashe gasar duniya a wasan kwaikwayo na 3-move. A shekarar 2008 ya lashe lambar zinare a gasar
Wasannin Zuciya na Duniya na 1, wanda aka gudanar a Beijing, a cikin dam na Amurka. Moiseyev ya sake lashe lambar zinare a wasan dam na Amurka a Wasannin Wasanni na Duniya na SportAccord na 2012 a Beijing. A cikin 2013 ya rasa 3-Move World Title Match da Michele Borghetti.