Besides being consul ordinarius with Lucius Cuspius Pactumeius Rufinus in AD 142, he was proconsul of Asia during the reign of the emperor Marcus Aurelius.
Statius Quadratus is best known for presiding over the trial and execution of Polycarp, bishop of Smyrna.
[1] His existence is attested by an inscription recovered from Magnesia ad Sipylum (IGR 3,175).
Statius Quadratus' role in the trial of Polycarp provides an important clue to the date of the bishop's martyrdom.
Eusebius, in his Chronicle, dates his martyrdom to 166–7; yet a letter describing the events around his death states he was executed on Saturday, Xanthicus 2, i.e. 23 February, in the proconsulship of Statius Quadratus, although two experts have argued independently that Xanthicus 2 should actually be equated to 22 February; moreover, a reference in Aelius Aristides has been used to date Quadratus' tenure to 153–4.