Flemish painter. The earliest document referring to him is a receipt dated 26 May 1593 for the gilding and decoration of the Garnier family monument in Notre-Dame-du-Sablon in Brussels. The records of the Brussels painters' guild, which survive only from 1599 onwards, do not mention his admission as a master but show that he took on four apprentices between 1599 and 1625, the last being Pieter van der Borcht. In 1599–1600 he entered the service of Archduke Albert and Archduchess Isabella, who entrusted him with many important commissions. In 1603 and 1604 van Alsloot received two payments from them for the design and weaving of two-and-a-half laps of tapestry with grotesques. This has often been taken, erroneously, to indicate that he held a prominent place in the development of Brussels tapestry manufacturing.
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