Around this time he seemed to become somewhat disillusioned with the direction that research in algebraic geometry was going and 1957 saw the publication of the last research paper that Semple would write for over ten years. Administration, which had always been a major part of his life, now expanded to fill the time left free when he almost stopped research.
Sa paligid ng oras na ito siya seemed upang maging tila disillusioned sa mga direksyon na ang pananaliksik sa algebraic geometry ay pagpunta at 1957 nakita ang paglalathala ng huling pananaliksik papel na Semple na isulat para sa higit sa sampung taon. Administration, na kung saan ay palaging ay isang malaking bahagi ng kanyang buhay, ngayon pinalawak na punuin ang mga libreng oras kaliwa kapag siya halos tumigil sa research.