EXHIBIT 32.1

                            CERTIFICATION PURSUANT TO
                             18 U.S.C. SECTION 1350,
                             AS ADOPTED PURSUANT TO
                  SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002


     Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 (subsections (a)
and (b) of Section 1350, Chapter 63 of Title 18, United States Code, each of the
undersigned officer(s) of Accelr8 Technology Corporation, a Colorado corporation
(the "Corporation"), does hereby certify, to such officer's knowledge, that:

     The Quarterly Report on Form 10-QSB for the quarter ended January 31, 2004
(the "Form 10-QSB") of the Corporation fully complies with the requirements of
Section 13(a) or 15(d) of the Securities Exchange Act of 1934, as amended, and
information contained in the Form 10-QSB fairly presents, in all material
respects, the financial condition and results of operations of the Corporation.



Dated:  March 16, 2004                      /s/ Thomas V. Geimer
                                            ------------------------------------
                                            Thomas V. Geimer
                                            Chief Executive Officer and Chief
                                            Financial Officer