1177 - died 1197) was a German noble and Margrave of Ancona in the 12th century.
When the Sicilian nobles elevated Tancred of Lecce to King of Sicily in 1190, Conrad supported the claims of Henry VI, Holy Roman Emperor to the Sicilian throne by force of arms.
In 1192, Konrad failed to defend Capua against Richard, Count of Acerra.
In 1193, he took over command of the campaign against Tancred in Apulia and also in the following year he led the Swabian contingent of Henry VI's army in Italy.
His adversaries gave him the nickname Musca in cerebro (Italian : Muscaincervello, whichs means fly in the brain), because “eo quod plerumque quasi demens videretur” (he usually looked pretty crazy).