Antero Midstream Corp

UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

SCHEDULE 14A

**Proxy Statement Pursuant to Section 14(a) of the Securities

Exchange Act of 1934 (Amendment No. )

Check the appropriate box:

Preliminary Proxy Statement

Confidential, for Use of the Commission Only (as permitted by Rule 14a-6(e)(2))

Definitive Proxy Statement

Definitive Additional Materials

Soliciting Material under §240.14a-12

ANTERO MIDSTREAM CORPORATION

(Name of Registrant as Specified In Its Charter)

(Name of Person(s) Filing Proxy Statement, if other than the Registrant)

Payment of Filing Fee (Check the appropriate box):

No fee required

Fee paid previously with preliminary materials

Fee computed on table in exhibit required by Item 25(b) per Exchange Act Rules 14a-6(i)(1) and 0-11

The 2026 Annual Meeting of Stockholders of Antero Midstream Corporation (“Antero Midstream” or “the Company”) will be held online on Wednesday, June 3, 2026, at 8:00 A.M. Mountain Time. The Annual Meeting is being held for the purposes listed below:

AGENDA

These proposals are described in the accompanying proxy materials.

RECORD DATE

April 13, 2026

By order of the Board of Directors,

Yvette K. Schultz

Chief Compliance Officer, Senior Vice President—Legal, General Counsel and Corporate Secretary

WHO MAY VOTE:

You will be able to vote at the Annual Meeting only if you were a stockholder of record at the close of business on April 13, 2026, the record date for the Annual Meeting. The Board requests your proxy for the Annual Meeting, which will authorize the individuals named in the proxy to represent you and vote your shares at the Annual Meeting or any adjournment or postponement thereof.

HOW TO RECEIVE ELECTRONIC DELIVERY OF FUTURE ANNUAL MEETING MATERIALS:

Pursuant to rules adopted by the Securities and Exchange Commission, we have elected to provide access to our proxy solicitation materials electronically, rather than mailing paper copies of these materials to each stockholder. Beginning on April 23, 2026, we will mail to each stockholder a Notice of Internet Availability of Proxy Materials with instructions on how to access the proxy materials, vote, or request paper copies.

IMPORTANT NOTICE REGARDING THE INTERNET AVAILABILITY OF PROXY MATERIALS FOR THE ANNUAL MEETING OF STOCKHOLDERS TO BE HELD ON JUNE 3, 2026:

This Notice of Annual Meeting and Proxy Statement and the Company’s Annual Report on Form 10-K for the year ended December 31, 2025 (the “Form 10-K”) are available on our website free of charge atwww.anteroresources.comin the “SEC Filings” subsection of the “Investors” section.

YOUR VOTE IS IMPORTANT

Your vote is important. We urge you to review the accompanying Proxy Statement carefully and to submit your proxy as soon as possible so that your shares will be represented at the meeting.

Table of Contents

- 2026 Proxy Statement 2

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- 2026 Proxy Statement 3

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