SCHEDULE 13G
CUSIP NO. 412552309                                     PAGE 1 OF 10 PAGES


                                UNITED STATES
                      SECURITIES AND EXCHANGE COMMISSION
                            WASHINGTON, D.C. 20549

                                 SCHEDULE 13G

                  UNDER THE SECURITIES EXCHANGE ACT OF 1934
                             (AMENDMENT NO.   )*

                          Harken Energy Corporation
                               (Name of Issuer)


                         Common Stock, $.01 par value
                        (Title of Class of Securities)


                                  412552309
                                (CUSIP Number)

                                April 28, 2004
           (Date of Event Which Requires Filing of this Statement)

Check the appropriate box to designate the rule pursuant to which this
Schedule is filed:

[ ]  Rule 13d-1(b)
[X]  Rule 13d-1(c)
[ ]  Rule 13d-1(d)


*The remainder of this cover page shall be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities,
and for any subsequent amendment containing information which would alter
disclosures provided in a prior cover page.

The information required on the remainder of this cover page shall not be
deemed to be "filed" for the purpose of Section 18 of the Securities Exchange
Act of 1934 ("Act") or otherwise subject to the liabilities of that section of
the Act but shall be subject to all other provisions of the Act (however, see
the Notes).





















SCHEDULE 13G
CUSIP NO. 412552309                                     PAGE 2 OF 10 PAGES

- ------------------------------------------------------------------------- -
    1   NAME OF REPORTING PERSON
        I.R.S. IDENTIFICATION NO. OF ABOVE PERSON (ENTITIES ONLY)

                 Alexandra Global Master Fund Ltd.
                 (No I.R.S. ID Number)

- ------------------------------------------------------------------------- -
    2   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP  (A)[ ]
                                                          (B)[ ] (See Item 6)

- ------------------------------------------------------------------------- -
    3   SEC USE ONLY

- ------------------------------------------------------------------------- -
    4   CITIZENSHIP OR PLACE OF ORGANIZATION

                 British Virgin Islands
- ------------------------------------------------------------------------- -
      NUMBER OF          5  SOLE VOTING POWER
       SHARES
    BENEFICIALLY                     -0-
      OWNED BY         ---------------------------------------------------- -
        EACH             6  SHARED VOTING POWER
      REPORTING
       PERSON               10,344,827 shares of Common Stock (See Item 4)
        WITH:          ---------------------------------------------------- -
                         7  SOLE DISPOSITIVE POWER

                                     -0-
                       ---------------------------------------------------- -
                         8  SHARED DISPOSITIVE POWER

                            10,344,827 shares of Common Stock (See Item 4)
- ------------------------------------------------------------------------- -
    9       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                 10,344,827 shares of Common Stock (See Item 4)
- ------------------------------------------------------------------------- -
    10      CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES
            CERTAIN SHARES (SEE INSTRUCTIONS)                         [ ]

- ------------------------------------------------------------------------- -
    11      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

                 5.06% (See Item 4)
- ------------------------------------------------------------------------- -
    12      TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                 CO
- ------------------------------------------------------------------------- -






















SCHEDULE 13G
CUSIP NO. 412552309                                     PAGE 3 OF 10 PAGES


- ------------------------------------------------------------------------- -
    1   NAME OF REPORTING PERSON
        I.R.S. IDENTIFICATION NO. OF ABOVE PERSON (ENTITIES ONLY)

                 Alexandra Investment Management, LLC
                 13-4092583
- ------------------------------------------------------------------------- -
    2   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP  (A)[ ]
                                                          (B)[X] (See Item 6)

- ------------------------------------------------------------------------- -
    3   SEC USE ONLY

- ------------------------------------------------------------------------- -
    4   CITIZENSHIP OR PLACE OF ORGANIZATION

                 Delaware
- ------------------------------------------------------------------------- -
      NUMBER OF          5  SOLE VOTING POWER
       SHARES
    BENEFICIALLY                     -0-
      OWNED BY         ---------------------------------------------------- -
        EACH             6  SHARED VOTING POWER
      REPORTING
       PERSON               10,344,827 shares of Common Stock (See Item 4)
        WITH:          ---------------------------------------------------- -
                         7  SOLE DISPOSITIVE POWER

                                     -0-
                       ---------------------------------------------------- -
                         8  SHARED DISPOSITIVE POWER

                            10,344,827 shares of Common Stock (See Item 4)
- ------------------------------------------------------------------------- -
    9       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                  10,344,827 shares of Common Stock (See Item 4)
- ------------------------------------------------------------------------- -
    10      CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES
            CERTAIN SHARES (SEE INSTRUCTIONS)                         [ ]

- ------------------------------------------------------------------------- -
    11      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

                 5.06% (See Item 4)
- ------------------------------------------------------------------------- -
    12      TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                 OO
- ------------------------------------------------------------------------- -






















SCHEDULE 13G
CUSIP NO. 412552309                                     PAGE 4 OF 10 PAGES


- ------------------------------------------------------------------------- -
    1   NAME OF REPORTING PERSON
        I.R.S. IDENTIFICATION NO. OF ABOVE PERSON (ENTITIES ONLY)

                 Mikhail A. Filimonov
- ------------------------------------------------------------------------- -
    2   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP  (A)[ ]
                                                          (B)[X] (See Item 6)

- ------------------------------------------------------------------------- -
    3   SEC USE ONLY

- ------------------------------------------------------------------------- -
    4   CITIZENSHIP OR PLACE OF ORGANIZATION

                 U.S.
- ------------------------------------------------------------------------- -
      NUMBER OF          5  SOLE VOTING POWER
       SHARES
    BENEFICIALLY                     -0-
      OWNED BY         ---------------------------------------------------- -
        EACH             6  SHARED VOTING POWER
      REPORTING
       PERSON               10,344,827 shares of Common Stock (See Item 4)
        WITH:          ---------------------------------------------------- -
                         7  SOLE DISPOSITIVE POWER

                                     -0-
                       ---------------------------------------------------- -
                         8  SHARED DISPOSITIVE POWER

                            10,344,827 shares of Common Stock (See Item 4)
- ------------------------------------------------------------------------- -
    9       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                  10,344,827 shares of Common Stock (See Item 4)
- ------------------------------------------------------------------------- -
    10      CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES
            CERTAIN SHARES (SEE INSTRUCTIONS)                         [ ]

- ------------------------------------------------------------------------- -
    11      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

                 5.06% (See Item 4)
- ------------------------------------------------------------------------- -
    12      TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                 IN
- ------------------------------------------------------------------------- -





















SCHEDULE 13G
CUSIP NO. 412552309                                     PAGE 5 OF 10 PAGES


- ------------------------------------------------------------------------- -
    1   NAME OF REPORTING PERSON
        I.R.S. IDENTIFICATION NO. OF ABOVE PERSON (ENTITIES ONLY)

                 Dimitri Sogoloff
- ------------------------------------------------------------------------- -
    2   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP  (A)[ ]
                                                          (B)[X] (See Item 6)

- ------------------------------------------------------------------------- -
    3   SEC USE ONLY

- ------------------------------------------------------------------------- -
    4   CITIZENSHIP OR PLACE OF ORGANIZATION

                 U.S.
- ------------------------------------------------------------------------- -
      NUMBER OF          5  SOLE VOTING POWER
       SHARES
    BENEFICIALLY                     -0-
      OWNED BY         ---------------------------------------------------- -
        EACH             6  SHARED VOTING POWER
      REPORTING
       PERSON               10,344,827 shares of Common Stock (See Item 4)
        WITH:          ---------------------------------------------------- -
                         7  SOLE DISPOSITIVE POWER

                                     -0-
                       ---------------------------------------------------- -
                         8  SHARED DISPOSITIVE POWER

                            10,344,827 shares of Common Stock (See Item 4)
- ------------------------------------------------------------------------- -
    9       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                  10,344,827 shares of Common Stock (See Item 4)
- ------------------------------------------------------------------------- -
    10      CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES
            CERTAIN SHARES (SEE INSTRUCTIONS)                         [ ]

- ------------------------------------------------------------------------- -
    11      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

                 5.06% (See Item 4)
- ------------------------------------------------------------------------- -
    12      TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)

                 IN
- ------------------------------------------------------------------------- -




















SCHEDULE 13G
CUSIP NO. 412552309                                     PAGE 6 OF 10 PAGES



Item 1(a).        Name of Issuer:

                  Harken Energy Corporation (the "Issuer")

Item 1(b).        Address of Issuer's Principal Executive Offices:

                  580 WestLake Park Boulevard
                  Suite 650
                  Houston, Texas 77079

Item 2(a).        Names of Persons Filing:

                  Alexandra Global Master Fund Ltd. ("Alexandra")
                  Alexandra Investment Management, LLC ("Management")
                  Mikhail A. Filimonov ("Filimonov")
                  Dimitri Sogoloff ("Sogoloff")

Item 2(b).        Address of Principal Business Office:

                  Alexandra - Citco Building, Wickams Cay, P.O. Box 662,
                  Road Town, Tortola, British Virgin Islands
                  Management - 767 Third Avenue, 39th Floor, New York,
                  New York 10017
                  Filimonov - 767 Third Avenue, 39th Floor, New York,
                  New York 10017
                  Sogoloff - 767 Third Avenue, 39th Floor, New York,
                  New York 10017

Item 2(c).        Place of Organization or Citizenship:

                  Alexandra - British Virgin Islands
                  Management - Delaware
                  Filimonov - U.S.
                  Sogoloff - U.S.

Item 2(d).        Title of Class of Securities:

                  Common Stock, $.01 par value per share, of the Issuer (the
                  "Common Stock")

Item 2(e).        CUSIP Number: 412552309

Item 3.           This Schedule is filed pursuant to Rule 13d-1(c) by
                  Alexandra, Management, Filimonov and Sogoloff

Item 4.           Ownership:

                  (a)    Amount Beneficially Owned:

                         Alexandra: 10,344,827 shares*
                         Management: 10,344,827 shares*
                         Filimonov: 10,344,827 shares*
                         Sogoloff: 10,344,827 shares*

                  (b)    Percent of Class:

                         Alexandra: 5.06%*
                         Management: 5.06%*
                         Filimonov: 5.06%*
                         Sogoloff: 5.06%*

                         (Based on 194,297,775 shares of Common Stock
                         outstanding, as of April 26, 2004, as stated by the
                         Issuer to Alexandra)



















SCHEDULE 13G
CUSIP NO. 412552309                                     PAGE 7 OF 10 PAGES



                  (c)    Number of Shares as to which the Person has:

                         (i)     sole power to vote or to direct
                                 the vote

                                                -0-

                         (ii)    shared power to vote or to direct the vote:

                                 10,344,827 shares of Common Stock*

                         (iii)   sole power to dispose or to direct the
                                 disposition of

                                                -0-

                         (iv)    shared power to dispose or to direct the
                                 disposition of

                                 10,344,827 shares of Common Stock*


*The shares of Common Stock reported as beneficially owned by Alexandra include
5,747,126 shares of Common Stock that Alexandra has the right to acquire upon
conversion of shares of Series J Convertible Preferred Stock, $1.00 par value,
of the Issuer (the "Preferred Stock"), 2,873,563 shares of Common Stock that
Alexandra has the right to acquire upon exercise of common stock purchase
warrants and 1,724,328 shares of Common Stock which Alexandra has the right to
acquire upon conversion of additional shares of Preferred Stock and upon
exercise of additional common stock purchase warrants which shares of Preferred
Stock and common stock purchase warrants Alexandra has the right to acquire
upon exercise of certain rights.

Management serves as investment advisor to Alexandra.  By reason of such
relationship, Management may be deemed to share voting and dispositive power
over the shares of Common Stock owned by Alexandra.  Management disclaims
beneficial ownership of the shares of Common Stock listed as beneficially owned
by Alexandra or any other person reporting on this Schedule.

Filimonov serves as the Chairman, the Chief Executive Officer, a Managing
Member and the Chief Investment Officer of Management.  Sogoloff serves as the
President, a Managing Member and the Chief Information Officer of Management.
By reason of such relationships, each of Filimonov and Sogoloff may be deemed
to share voting and dispositive power over the shares of Common Stock listed as
beneficially owned by Management.  Filimonov and Sogoloff each disclaims
beneficial ownership of the shares of Common Stock listed as beneficially owned
by Management or any other person reporting on this Schedule.



















SCHEDULE 13G
CUSIP NO. 412552309                                     PAGE 8 OF 10 PAGES



Item 5.           Ownership of Five Percent or Less of a Class:

                  Not applicable

Item 6.           Ownership of More Than Five Percent on Behalf of Another
                  Person:

                  Not applicable

Item 7.           Identification and Classification of the Subsidiary which
                  Acquired the Security Being Reported on by the Parent
                  Holding Company:

                  Not applicable


Item 8.           Identification and Classification of Members of the Group:

                  Not applicable


Item 9.           Notice of Dissolution of Group:

                  Not applicable


Item 10.          Certification:

By signing below each signatory certifies that, to the best of its knowledge
and belief, the securities referred to above were not acquired and are not held
for the purpose of or with the effect of changing or influencing the control of
the issuer of the securities and were not acquired and are not held in
connection with or as a participant in any transaction having that purpose or
effect.


Exhibits:

     Exhibit I: Joint Filing Agreement, dated as of May 5, 2004, by and among
Alexandra, Management, Filimonov and Sogoloff.























SCHEDULE 13G
CUSIP NO. 412552309                                     PAGE 9 OF 10 PAGES



                                  SIGNATURE

     By signing below each signatory certifies that, to the best of its
knowledge and belief, the securities referred to above were not acquired and
are not held for the purpose of or with the effect of changing or influencing
the control of the issuer of the securities and were not acquired and are not
held in connection with or as a participant in any transaction having that
purpose or effect.


Dated as of May 5, 2004

                    ALEXANDRA GLOBAL MASTER FUND LTD.

                    By: ALEXANDRA INVESTMENT MANAGEMENT, LLC,
                        Investment Advisor

                        By: /s/ Mikhail A. Filimonov
                        ----------------------------
                        Mikhail A. Filimonov
                        Title: Managing Member



                    ALEXANDRA INVESTMENT MANAGEMENT, LLC

                    By: /s/ Mikhail A. Filimonov
                    ----------------------------
                    Mikhail A. Filimonov
                    Title: Managing Member



                    /s/ Mikhail A. Filimonov
                    ----------------------------
                    Mikhail A. Filimonov



                    /s/ Dimitri Sogoloff
                    ----------------------------
                    Dimitri Sogoloff