Statement of Changes in Beneficial Ownership (4)

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

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Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934 or Section 30(h) of the Investment Company Act of 1940

1. Name and Address of Reporting Person * STORCH DAVID P	2. Issuer Name and Ticker or Trading Symbol AAR CORP [ AIR ]	5. Relationship of Reporting Person(s) to Issuer (Check all applicable) __X__ Director                    _____ 10% Owner _____ Officer (give title below)    _____ Other (specify below)
(Last)          (First)          (Middle) 1100 N. WOOD DALE ROAD	3. Date of Earliest Transaction (MM/DD/YYYY) 6/1/2020
(Street) WOOD DALE, IL 60191 (City)        (State)        (Zip)	4. If Amendment, Date Original Filed (MM/DD/YYYY)	6. Individual or Joint/Group Filing (Check Applicable Line) _X _ Form filed by One Reporting Person ___ Form filed by More than One Reporting Person

Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned
1.Title of Security (Instr. 3)	2. Trans. Date	2A. Deemed Execution Date, if any	3. Trans. 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	6/1/2020		A(1)		5976	A	$0	499340	D
Common Stock								200000	I	By DPS Asset Management LLC
Common Stock								76738	I	By Grat2 (2)
Common Stock								2025	I	By Lorraine Revocable Trust (3)
Common Stock								39577	I	By Power Of Attorney (4)
Common Stock								18810	I	By Wife
Common Stock								286408	I	Storch Family 2012 Dynasty Trust (5)

Table II - Derivative Securities Beneficially Owned (e.g., puts, calls, warrants, options, convertible securities)
1. Title of Derivate Security (Instr. 3)	2. Conversion or Exercise Price of Derivative Security	3. Trans. Date	3A. Deemed Execution Date, if any	4. Trans. 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		7. Title and Amount of Securities Underlying Derivative Security (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

Explanation of Responses:
(1)	Award of stock pursuant to Restricted Stock Agreement in transaction exempt under Rule 16b-3.
(2)	Mr. Storch is a trustee, and his wife's trust is a beneficiary, of this GRAT. The total 76,738 shares are owned indirectly by GRAT.
(3)	Mr. Storch became a co-trustee under this Trust when it was amended on 1/6/12.
(4)	I disclaim beneficial ownership in these shares.
(5)	Mr. Storch is a Trustee and beneficiary of this Trust.

Reporting Owners
Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
STORCH DAVID P 1100 N. WOOD DALE ROAD WOOD DALE, IL 60191	X

Signatures
/s/ Kai England, Power of Attorney		6/3/2020
**Signature of Reporting Person		Date