URANIUM RESOURCES INC /DE/
SC 13D, 1999-05-10
METALS & MINERALS (NO PETROLEUM)
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                                  UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                  SCHEDULE 13D

                    Under the Securities Exchange Act of 1934
                                (Amendment No. )*

                             Uranium Resources, Inc.
- --------------------------------------------------------------------------------
                               (Name of Issuer)

                                 Common Stock
- --------------------------------------------------------------------------------
                        (Title of Class of Securities)

                                  916901309
- --------------------------------------------------------------------------------
                                (CUSIP Number)

         Mr. Rudolf J. Mueller                  Stephen F. Selig, Esq.
    c/o The Winchester Group, Inc.              Baer Marks & Upham LLP
          335 Madison Avenue                       805 Third Avenue
          New York, NY 10017                      New York, NY 10022
            (212) 286-8620                          (212) 702-5700
- --------------------------------------------------------------------------------
 (Name, Address and Telephone Number of Person Authorized to Receive Notices
                             and Communications)

                              February 11, 1999
- --------------------------------------------------------------------------------
             (Date of Event which Requires Filing of this Statement)

If the filing person has previously filed a statement on Schedule 13G to report
the acquisition that is the subject of this Schedule 13D, and is filing this
schedule because of Rule 13d-1(e), 13d-1(f) or 13d-1(g) check the following box
|_|.

      Note.  Schedules filed in paper format shall include a signed original
and five copies of the schedule, including all exhibits.  See Rule 13d-7(b)
for other parties to whom copies are to be sent.

                        (Continued on following pages)
                             (Page 1 of 6 Pages)

- ----------
* 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).

<PAGE>

- -------------------                                            -----------------
CUSIP No. 916901309                                            Page 2 of 6 Pages
- -------------------                                            -----------------

- --------------------------------------------------------------------------------
1     NAMES OF REPORTING PERSONS
      I.R.S. IDENTIFICATION NOS. OF ABOVE PERSONS (ENTITIES ONLY)

      Rudolf J. Mueller
- --------------------------------------------------------------------------------
2     CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                                        (a)  |_|
                                                                        (b)  |X|
- --------------------------------------------------------------------------------
3     SEC USE ONLY

      
- --------------------------------------------------------------------------------
4     SOURCE OF FUNDS*

      PF
- --------------------------------------------------------------------------------
5     CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT 
      TO ITEM 2(d) or 2(e)                                                   |_|
      
- --------------------------------------------------------------------------------
6     CITIZENSHIP OR PLACE OF ORGANIZATION

      United States of America
- --------------------------------------------------------------------------------
                  7     SOLE VOTING POWER
  NUMBER OF
   SHARES               11.35%
BENEFICIALLY            --------------------------------------------------------
  OWNED BY        8     SHARED VOTING POWER
    EACH
  REPORTING             0.004%
   PERSON               --------------------------------------------------------
    WITH          9     SOLE DISPOSITIVE POWER
 
                        11.35%
                        --------------------------------------------------------
                  10    SHARED DISPOSITIVE POWER
 
                        0.004%
                        --------------------------------------------------------

- --------------------------------------------------------------------------------
11    AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

      1,420,800
- --------------------------------------------------------------------------------
12    CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES 
      CERTAIN SHARES*                                                        |X|

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

      11.8%
- --------------------------------------------------------------------------------
14    TYPE OF REPORTING PERSON*

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

                      *SEE INSTRUCTIONS BEFORE FILLING OUT!

<PAGE>

- -------------------                                            -----------------
CUSIP No. 916901309                                            Page 3 of 6 Pages
- -------------------                                            -----------------

Item 1. Security and Issuer

      This Statement on Schedule 13D (the "Statement") relates to shares of
common stock, par value $.001 per share (the "Common Stock"), of Uranium
Resources, Inc., a Delaware corporation (the "Company"). The address of the
principal executive office of the Company is 12750 Merit Drive, Suite 1020,
Dallas, Texas 75251.

Item 2. Identity and Background

      (a)   This Statement is filed by Rudolph J. Mueller (the "Reporting
            Person").

      (b)   The business address of the Reporting Person is c/o The Winchester
            Group, Inc., 335 Madison Avenue, New York, NY 10017.

      (c)   The Reporting Person's present principal occupation is a registered
            representative, officer, director and a shareholder of The
            Winchester Group, Inc., which is an investment adviser and a broker
            dealer registered under section 15 of the Securities Exchange Act of
            1934 (the "Exchange Act").

      (d)   During the last five years, the Reporting Person has not been
            convicted in a criminal proceeding (excluding traffic violations or
            similar misdemeanors).

      (e)   During the last five years, the Reporting Person has not been a
            party to a civil proceeding of a judicial or administrative body of
            competent jurisdiction as a result of which proceeding he was or is
            subject to a judgment, decree or final order enjoining future
            violations of, or prohibiting or mandating activities subject to,
            Federal or State securities laws or finding any violation with
            respect to such laws.

      (f)   The Reporting Person is a citizen of the United States of America.

Item 3. Source and Amount of Funds or Other Consideration

      During 1998, the Reporting Person purchased 490,800 shares of Common
Stock. From January 27, 1999 until the date hereof the Reporting Person
purchased an additional 930,000 shares of Common Stock. Except for 500,000
restricted shares of Common Stock that were purchased in a privately negotiated
transaction, all shares of Common Stock purchased by the Reporting Person were
purchased in the open market. The Reporting Person used his personal funds for
all such purchases.

Item 4. Purpose of Transaction

      The Reporting Person purchased all of the shares referred to in Item 3 for
investment purposes. The Reporting Person has no plans or proposals which relate
to or would result in:

      (a)   The acquisition by any person of additional securities of the
            Company, or the disposition of securities of the Company;

      (b)   An extraordinary corporate transaction, such as a merger,
            reorganization or liquidation, involving the Company or any of its
            subsidiaries;

      (c)   A sale or transfer of a material amount of assets of the Company or
            any of its subsidiaries;

      (d)   Any change in the present board of directors or management of the
            Company, including any plans or proposals to change the number or
            term of directors or to fill any existing vacancies on the board;

      (e)   Any material change in the present capitalization or dividend policy
            of the Company;

      (f)   Any other material change in the Company's business or corporate
            structure;
<PAGE>

- -------------------                                            -----------------
CUSIP No. 916901309                                            Page 4 of 6 Pages
- -------------------                                            -----------------

      (g)   Changes in the Company's charter, bylaws or instruments
            corresponding thereto or other actions which may impede the
            acquisition of control of the Company by any person;

      (h)   Causing a class of securities of the Company to be delisted from a
            national securities exchange or to cease to be authorized to be
            quoted in an inter-dealer quotation system of a registered national
            securities association;

      (i)   A class of equity securities of the Company becoming eligible for
            termination of registration pursuant to Section 12(g)(4) of the Act;
            or

      (j)   Any action similar to any of those enumerated above.

Item 5. Interest in Securities of the Issuer

      (a) As of the date hereof, the Reporting Person may be deemed to
beneficially own 1,420,800 shares of Common Stock, representing 11.8% of the
outstanding shares of Common Stock. This number of shares includes (i) 1,357,100
shares held directly by the Reporting Person, (ii) 42,200 shares held by the
Reporting Person and Ellenor Mueller Co-Guardians f/b/o Marc Mueller, over which
the Reporting Person has shared voting and dispositive power, (iii) 11,500
shares held by the Reporting Person c/f Zachary Mueller UGTMA(*), over which the
Reporting Person has sole voting and dispositive power, and (iv) 10,000 held by
the Reporting Person and his wife, Ms. Gisela Mueller, in joint account over
which the Reporting Person has shared voting and dispositive power. This number
of shares does not include (i) 1,060,550 shares held in brokerage accounts over
which the Reporting Person has shared dispositive power as a registered
representative of The Winchester Group, Inc., which are included in a statement
on Schedule 13G first filed by the Reporting Person and The Winchester Group,
Inc. on February 4, 1999, as amended from time to time, and (ii) 20,000 shares
held by Mrs. Mueller. The Reporting Person disclaim beneficial ownership over
the shares held by The Winchester Group, Inc. and by Mrs. Mueller.

<TABLE>
<CAPTION>
                      No. of shares      No. of shares
                   Beneficially owned     Beneficially                        Percentage
                    with sole voting   owned with shared   Aggregate No. of    of shares
                    and dispositive       voting and            shares       beneficially
        (b) Name          power        dispositive power  beneficially owned   owned(1)
        --------          -----        -----------------  ------------------   --------
<S>                     <C>                <C>               <C>                 <C>  
Reporting Person        1,368,600          52,200(2)         1,420,800(2)        11.8%
</TABLE>

      (c) On December 21, 28, and 30, 1998, the Reporting Person purchased
51,000, 100,000 and 100,000 shares of Common Stock, respectively, for $.40, $.50
and $.50, per share, respectively. On January 27, 1999, the Reporting Person
purchased 50,000 shares of Common Stock for $.38 per share. On February 9, 10
and 11, 1999, the Reporting Person purchased 10,000, 10,000 and 200,000 shares
of Common Stock, respectively, for $.35, $.32 and $.14 per share, respectively.
In April 1, 15, and 29, 1999, the Reporting Person purchased 10,000, 10,000 and
140,000 shares of Common Stock, respectively, for $.19, $.21 and $.17 per share,
respectively. All shares of Common Stock were purchased in the open market using
personal funds. In addition, on April 15, 1999, the Reporting Person used his
personal funds to purchase in a privately negotiated transaction 500,000
restricted shares of Common Stock for $.11 per share.

      (d) To the knowledge of the Reporting Person, no other person (except for
the joint account, the shares of Common Stock held f/b/o Marc Mueller and shares
of Common Stock held by the Reporting Person c/f Zachary Mueller UGTMA) has the
right to receive or the power to direct the receipt of dividends from, or the
proceeds from the sale of such shares of Common Stock.

      (e) Not Applicable.

- ----------
      (*) The Reporting Person holds the shares as custodian for Zachary Mueller
under the Uniform Gift to Minors Act.
<PAGE>

- -------------------                                            -----------------
CUSIP No. 916901309                                            Page 5 of 6 Pages
- -------------------                                            -----------------

      (1). The percentage of shares beneficially owned is based on 12,053,027
shares of Common Stock issued and outstanding as of April 30, 1999.

      (2). This represents 10,000 shares of Common Stock held by the Reporting
Person and his wife in a joint account and 42,200 shares held by the Reporting
Person and Ellenor Mueller Co-Guardians FBO Marc Mueller.

Item 6. Contracts, Arrangements, Understandings or Relationships with Respect to
        Securities of the Issuer

      None.

Item 7. Material to be filed as Exhibits

      None.

<PAGE>

- -------------------                                            -----------------
CUSIP No. 916901309                                            Page 6 of 6 Pages
- -------------------                                            -----------------

                                    SIGNATURE

      After reasonable inquiry and to the best of my knowledge and belief, I
certify that the information set forth in this Statement is true, complete and
correct.

                                      /s/ Rudolf J. Mueller
                                      ------------------------------------------
                                      Rudolf J. Mueller

Dated:  May 7, 1999



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