Rubuta ci gaba don wannan sakin layi - Uhlmann ya lashe gasar zakarun Jamus ta Gabas ta 1954, 1955 da 1958, kuma a 1956 an ba shi lambar yabo ta Duniya, kuma daga baya lambar yabo ta Grandmaster a 1959. Ya kasance mafi kyawun dan wasan Jamhuriyar Demokradiyyar Jamus (GDR) a gasar Olympics ta Chess ta 1956-1990, inda ya yi wasanni 11, galibi a kan. A taron 1964
a Tel Aviv, Isra'ila ya zira kwallaye 15 daga cikin 18, wanda ya ba shi lambar zinare guda ɗaya. A wannan shekarar, ya lashe gasar zakarun kasa ta hudu. An sami lambar tagulla ta mutum, don jimillar maki 13 daga cikin 18, ya biyo baya a 1966 a Havana, Cuba.