Sec Form 4 Filing - BARER SOL J @ NexImmune, Inc. - 2022-03-21

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 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 BARER SOL J 2. Issuer Name and Ticker or Trading Symbol NexImmune, Inc. [ NEXI] 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) C/O NEXIMMUNE, INC., 9119 GAITHER ROAD 3. Date of Earliest Transaction (MM/DD/YY) 03/21/2022 (Street) GAITHERSBURG, MD20877 4. If Amendment, Date Original Filed (MM/DD/YY) 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 (MM/DD/YY) 2A. Deemed Execution Date, if any (MM/DD/YY) 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 03/21/2022 P 30,000 A $ 2.136( 1 ) 1,477,814( 2 ) D Common Stock 1,538,013 I Held by B&S NexImmune Holdco LLC( 3 ) Common Stock 346,577 I Held by Joshua Barer( 4 )

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 (MM/DD/YY) 3A. Deemed Execution Date, if any (MM/DD/YY) 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 (MM/DD/YY) 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

Reporting Owners Reporting Owner Name / Address Relationships Director 10% Owner Officer Other BARER SOL J C/O NEXIMMUNE, INC. 9119 GAITHER ROAD GAITHERSBURG, MD20877 X Signatures /s/ Andrew Pearce, Attorney-in-fact 03/22/2022 Signature of Reporting Person Date

Explanation of Responses:

( 1 )The price reported is a weighted average price. These shares were purchased in multiple transactions at prices ranging from $2.05 to $2.235, inclusive. The reporting person will provide to the staff of the Securities and Exchange Commission, the issuer, or any security holder of the issuer, upon request, full information regarding the number of shares purchased at each separate price. ( 2 )Excludes 175,012 shares of common stock underlying options that are currently exercisable. ( 3 )Mr. Sol Barer is the father of Joshua Barer, who is the sole manager of B&S NexImmune Holdco LLC and has sole voting and dispositive control over the shares held by B&S NexImmune Holdco LLC. Mr. Sol Barer is also a member of Barer & Son Capital, LLC, which is a member of B&S NexImmune Holdco LLC, but he does not have voting or dispositive control over the shares held by B&S NexImmune Holdco LLC. Mr. Sol Barer disclaims beneficial ownership of the securities held by B&S NexImmune Holdco LLC except to the extent of his pecuniary interest therein. ( 4 )Mr. Sol Barer is the father of Joshua Barer. Mr. Sol Barer disclaims beneficial ownership of the securities held by Joshua Barer.

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.

* 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).

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