EXHIBIT 32.1 CERTIFICATION OF CHIEF EXECUTIVE OFFICER PURSUANT TO 18 U.S.C. SECTION 1350, AS ADOPTED PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002 In connection with the report on Form 10-K/A of American Home Mortgage Investment Corp. (the "Company") for the fiscal year ended December 31, 2004, as filed with the Securities and Exchange Commission on the date hereof (the "Report"), I, Michael Strauss, Chairman, Chief Executive Officer and President of the Company, certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that, to the best of my knowledge: 1. The Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934; and 2. The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company. Date: April 22, 2005 /s/ Michael Strauss - ----------------------------------------- Michael Strauss Chairman, Chief Executive Officer and President