N.Y. Comp. Codes R. & Regs. tit. 2, § 20.4
(a) Upon written request by private counsel, the State Comptroller, in his discretion, may authorize the payment, in appropriate circumstances, of fees for services in a particular case in amounts higher than those set forth in the fee schedule. A request for higher fees must set forth the circumstances justifying the request and shall include a list of the partners, associates and paralegals assigned to provide the services, together with their normal rates. In determining the appropriateness of authorizing higher fees, the State Comptroller shall consider, but not be limited to, the following factors: