Exhibit 32.1
CERTIFICATION PURSUANT TO
18 U.S.C. SECTION 1350, AS ADOPTED PURSUANT TO
SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002
In connection with the Annual Report of Mineralys Therapeutics, Inc., a Delaware corporation (the “Company”) on Form 10-K for the period ending December 31, 2025 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I certify, pursuant to 18 U.S.C. § 1350 as, adopted pursuant to § 906 of the Sarbanes-Oxley Act of 2002, that:
(1) The Report complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934; and
(2) The information contained in the Report fairly presents, in all material respects, the financial condition and result of operations of the Company.

Date: March 12, 2026 |  | /s/ Jon Congleton
|  | Jon Congleton
|  | Chief Executive Officer
|  | (Principal Executive Officer)