There is disclosed a porous emboli deflector for preventing cerebral emboli while maintaining cerebral blood flow during an endovascular or open surgical procedure. The device prevents the entrance of emboli of a size able to cause stroke (greater than 100 microns in the preferred embodiment) from entering either the right or left carotid arteries by deflecting emboli downstream in the blood flow. The device can be placed prior to any manipulation of the heart or aorta allowing maximal protection of the brain during the index procedure. The device has a low profile within the aorta which allows sheaths, catheters, or wires used in the index procedure to pass. Also disclosed are methods for insertion and removal of the device.