▁of ▁quadratic ▁Jordan ▁al gebras ▁in ▁ 1 9 6 6 . ▁ ▁McC rim mon ▁attended ▁secondary ▁school ▁in ▁Champ aign - U rb ana , ▁Illinois ▁and ▁then ▁received ▁his ▁b ach elor ' s ▁degree ▁in ▁mathematics ▁in ▁ 1 9 6 0 ▁from ▁Re ed ▁College ▁in ▁Port land , ▁Oregon . ▁He ▁received ▁his ▁Ph . D . ▁from ▁Y ale ▁University ▁in ▁ 1 9 6 5 ▁with ▁th esis ▁Norm s ▁and ▁Non comm ut ative ▁Jordan ▁Al gebras ▁super vised ▁by ▁Nathan ▁Jacob son . ▁McC rim mon ▁spent ▁his ▁final ▁year ▁as ▁a ▁gradu ate ▁student ▁at ▁the ▁University ▁of ▁Chicago , ▁when ▁Nathan ▁Jacob son ▁spent ▁a ▁year ▁of ▁un pa id ▁leave ▁visit ing ▁Chicago ▁and ▁Japan ▁for ▁the ▁academic ▁year ▁ 1 9 6 4 – 1 9 6 5 . ▁As ▁a ▁post doc , ▁McC rim mon ▁was ▁at ▁Massachusetts ▁Institute ▁of ▁Technology ▁from ▁ 1 9 6 5 ▁to ▁ 1 9 6 7 , ▁for ▁one ▁year ▁as ▁an ▁Air ▁Force ▁Research ▁Labor atory ▁Post do ctor al ▁Fellow ▁and ▁for ▁the ▁next ▁year ▁as ▁a ▁C . ▁L . ▁E . ▁Moore ▁instruct or . ▁He ▁became ▁in ▁ 1 9 6 7 ▁a ▁member ▁of ▁the ▁Center ▁for ▁Advanced ▁Studies ▁at ▁the ▁University ▁of ▁Virginia ▁( U VA ), ▁in ▁ 1 9 6 8 ▁an ▁associate ▁professor ▁at ▁U VA , ▁and ▁in ▁ 1 9 7 2 , ▁a ▁full ▁professor ▁at ▁U