N.Y. Comp. Codes R. & Regs. tit. 8, § 83.4
(d) Evidence of conviction of a crime shall be admissible in any proceeding conducted pursuant to this Part, but such conviction shall not in and of itself create a conclusive presumption that the person so convicted lacks good moral character. Except as otherwise provided in paragraph (4) of this subdivision, in the case of a certified individual, proof of conviction for any of the following acts constituting a crime in New York State and committed subsequent to certification shall create a rebuttable presumption that the individual so convicted lacks good moral character: