Dr. Amorak was an associate of Gaius Baltar at the Colonial Ministry of Defense. He apparently survived the Cylon attack on the Twelve Colonies, escaping aboard the Olympic Carrier.
Amorak was alleged to possess information pertaining to the betrayal of humanity. He sent a request to Colonial One to meet with President Laura Roslin to convey this information.
However, before the meeting could take place, Dr. Amorak is presumed killed when the Carrier is destroyed by the Colonials after the Cylons appeared to commandeer the vessel and threaten to use a nuclear warhead placed aboard the liner to cripple the Fleet.
Later, a copy of Number Six, calling herself "Shelly Godfrey," arrives aboard Galactica, claiming to be an assistant of the late Dr. Amorak. She presents video evidence of Gaius Baltar's complicity in the Cylon attack. However, after analysis, the evidence appears to be fabricated. When attempting to follow up on this matter, Godfrey disappears and cannot be found throughout the Fleet (Six Degrees of Separation).
As Amorak is never seen or heard on-screen by viewers, it's not clear whether or not Amorak was actually aboard the Olympic Carrier, or whether the use of his name in these events was part of some other scheme by members of the Fleet or the Cylons.