FORM 4 Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).

UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP OF SECURITIES Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934, Section 17(a) of the Public Utility Holding Company Act of 1935 or Section 30(h) of the Investment Company Act of 1940

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1. Name and Address of Reporting Person * OKARMA THOMAS   2. Issuer Name and Ticker or Trading Symbol GERON CORP [GERN] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) _____ Director _____ 10% Owner __X__ Officer (give title below) _____ Other (specify below) President and CEO (Last) (First) (Middle) C/O GERON CORPORATION, 230 CONSTITUTION DRIVE 3. Date of Earliest Transaction (Month/Day/Year) 05/29/2009 (Street) MENLO PARK, CA 94025 4. If Amendment, Date Original Filed(Month/Day/Year) 6. Individual or Joint/Group Filing(Check Applicable Line) _X_ Form filed by One Reporting Person ___ Form filed by More than One Reporting Person (City) (State) (Zip) Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned

1.Title of Security (Instr. 3) 2. Transaction Date (Month/Day/Year) 2A. Deemed Execution Date, if any (Month/Day/Year) 3. Transaction Code (Instr. 8) 4. Securities Acquired (A) or Disposed of (D) (Instr. 3, 4 and 5) 5. Amount of Securities Beneficially Owned Following Reported Transaction(s) (Instr. 3 and 4) 6. Ownership Form: Direct (D) or Indirect (I) (Instr. 4) 7. Nature of Indirect Beneficial Ownership (Instr. 4) Code V Amount (A) or (D) Price Common Stock 05/29/2009   S(1)   5,828 (1) D $ 6.35 300,605 D   Common Stock 05/29/2009   A   50,000 (2) A $ 0 350,605 D   Common Stock 05/29/2009   A   60,000 (3) A $ 0 410,605 D

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
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Table II - Derivative Securities Acquired, Disposed of, or Beneficially Owned
(e.g., puts, calls, warrants, options, convertible securities)

1. Title of Derivative Security (Instr. 3)

2. Conversion or Exercise Price of Derivative Security

3. Transaction Date (Month/Day/Year)

3A. Deemed Execution Date, if any (Month/Day/Year)

4. Transaction Code (Instr. 8)

5. Number of Derivative Securities Acquired (A) or Disposed of (D) (Instr. 3, 4, and 5)

6. Date Exercisable and Expiration Date (Month/Day/Year)

7. Title and Amount of Underlying Securities (Instr. 3 and 4)

8. Price of Derivative Security (Instr. 5)

9. Number of Derivative Securities Beneficially Owned Following Reported Transaction(s) (Instr. 4)

10. Ownership Form of Derivative Security: Direct (D) or Indirect (I) (Instr. 4)

11. Nature of Indirect Beneficial Ownership (Instr. 4)

Code

V

(A)

(D)

Date Exercisable

Expiration Date

Title

Amount or Number of Shares

Stock Option (right to buy)

$ 6.52

05/29/2009

A

100,000

(4)

05/29/2019

Common Stock

100,000

$ 6.52

1,915,000 (5)

D

Stock Option (right to buy)

$ 6.52

05/29/2009

A

35,000

(6)

05/29/2019

Common Stock

35,000

$ 6.52

1,950,000

D

Stock Option (right to buy)

$ 6.52

05/29/2009

A

300,000

(7)

05/29/2019

Common Stock

300,000

$ 6.52

2,250,000

D

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
OKARMA THOMAS C/O GERON CORPORATION 230 CONSTITUTION DRIVE MENLO PARK, CA 94025			President and CEO

Signatures

/s/ Olivia Bloom for Thomas B. Okarma		06/01/2009
**Signature of Reporting Person		Date

Explanation of Responses:

*	If the form is filed by more than one reporting person, see Instruction 4(b)(v).
**	Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
(1)	Shares sold in payment of payroll tax withholdings in connection with vesting of restricted stock award.
(2)	The shares of restricted stock will remain subject to a repurchase right of Geron over four years, during such time the repurchase right will lapse with respect to 25% of such shares on each anniversary date of May 28, 2009. The lapse of Geron's repurchase right is conditioned on the employee continuing to provide services to Geron through each vesting date.
(3)	The shares of restricted stock will remain subject to a repurchase right of Geron until May 28, 2010, at which time such repurchase right will lapse with respect to 25% of such shares. Geron's repurchase right will lapse with respect to the balance of the shares on May 28, 2011. The lapse of Geron's repurchase right is conditioned on the employee continuing to provide services to Geron through each vesting date.
(4)	This option is exercisable in a series of 48 consecutive equal monthly installments commencing May 29, 2009, provided the optionee continues to provide services to the Company.
(5)	Balance reflects expiration of options during 2009.
(6)	This option is exercisable in a series of 24 consecutive equal monthly installments commencing May 19, 2009, provided the optionee continues to provide services to the Company.
(7)	This option is exercisable in a series of 24 consecutive equal monthly installments commencing July 23, 2009, provided the optionee continues to provide services to the Company.

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