<PAGE>





                                                                    EXHIBIT 31.1


                      CERTIFICATION PURSUANT TO SECTION 302
                        OF THE SARBANES-OXLEY ACT OF 2002

I, Christian Baha, President and Chief Executive Officer of Superfund Capital
Management, Inc., the general partner of Quadriga Superfund, L.P. (the "Fund"),
do hereby certify that:

1. I have reviewed this report on Form 10-Q for the period ending September 30,
2005 (the "Report") of the Fund;

2. Based on my knowledge, the Report does not contain any untrue statement of a
material fact or omit to state a material fact necessary to make the statements
made, in light of the circumstances under which such statements were made, not
misleading with respect to the period covered by the Report;

3. Based on my knowledge, the financial statements, and other financial
information included in the Report, fairly present in all material respects the
financial condition, results of operations and cash flows of the Fund as of, and
for, the periods presented in the Report;

4. The Fund's other certifying officer and I are responsible for establishing
and maintaining disclosure controls and procedures (as defined in Exchange Act
Rules 13a-15(e) and 15d-15e) for the Fund and we have:

     (i)    designed such disclosure controls and procedures, or caused such
            disclosure controls and procedures to be designed under our
            supervision, to ensure that material information relating to the
            Fund, including its consolidated subsidiaries, is made known to us
            by others within those entities, particularly during the period in
            which the Report is being prepared;

     (ii)   evaluated the effectiveness of the Fund's disclosure controls and
            procedures and presented in this report our conclusions about the
            effectiveness of the disclosure controls and procedures, as of the
            end of the period covered by this report based on such evaluation;
            and

     (iii)  disclosed in the report any change in the Fund's internal control
            over financial reporting that occurred during the Fund's most recent
            fiscal quarter that has materially affected, or is reasonably likely
            to materially affect, the Fund's internal control over financial
            reporting; and

5. The Fund's other certifying officer and I have disclosed, based on our most
recent evaluation of internal control over financial reporting, to the Fund's
auditors and the audit committee of the Fund's board of directors (or persons
performing the equivalent functions):

     (i)    all significant deficiencies in the design or operation of internal
            controls over financial reporting which are reasonably likely to
            adversely affect the Fund's ability to record, process, summarize
            and report financial data and have identified for the Fund's
            auditors any material weaknesses in internal controls; and

     (ii)   any fraud, whether or not material, that involves management or
            other employees who have a significant role in the Fund's internal
            control over financial reporting.

                                           By:  /s/ Christian Baha
                                           -------------------------------------
                                           Christian Baha
                                           President and Chief Executive Officer
                                           November 14, 2005



                                      E-2