N.Y. Public Officers Law § 4: Commencement of term of office

§ 4. Commencement of term of office. 1. The term of office of an

elective officer, unless elected to fill a vacancy then existing, shall

commence on the first day of January next after his election, if the

commencement thereof be not otherwise fixed by law.

2. All terms of city officers, including supervisors, elected in any

city or part of a city, and of county officers in the city of New York,

shall expire at the end of an odd-numbered year. Such officers shall be

elected, except to fill a vacancy, at the general election in

odd-numbered years. This subdivision shall not apply to any judicial

officer.