N.Y. Legis. Law § 27
The committee on finance of the senate and the committee on ways and means of the assembly shall serve throughout the year, with power to make, through the chairman of the respective committees or through sub-committees appointed by them, such investigation of the various activities of the state as will aid them in their consideration of the budget submitted by the executive and any further appropriations proposed to the legislature. The temporary president of the senate shall appoint a secretary for the senate finance committee and the speaker of the assembly shall appoint a secretary for the assembly ways and means committee. Each appointment shall be evidenced by certificate duly executed by the officer making the appointment, and filed in the office of the secretary of state. Such secretaries shall hold office until their successors are appointed.
N.Y. Legis. Law § 27