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                                                                  Exhibit 31.1

                                  CERTIFICATION

I, Peter K. Stevenson, President and Chief Executive Officer of Globix
Corporation, certify that:

I have reviewed this quarterly report on Form 10-Q/A of Globix Corporation for
the period ended March 31, 2002.;

Based on my knowledge, this quarterly 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 this quarterly
report;

Based on my knowledge, the financial statements, and other financial information
included in this quarterly report, fairly present in all material respects the
financial condition, results of operations and cash flows of the registrant as
of, and for, the periods presented in this quarterly report.

Date:    August 25, 2003
                                            /s/ Peter K. Stevenson
                                            Peter K. Stevenson
                                            Title:  President and Chief
                                            Executive Officer