N.Y. Elec. Law § 9-202
The state board of elections upon receipt by it from boards of elections of the tabulated statements of votes at a primary election required to be filed with it shall proceed forthwith to canvass such statements. Upon the completion of the canvass it shall make, certify and file in its office tabulated statements of the number of votes cast for all the candidates for nomination to each public office or for election to each party position, and the number of votes cast for each such candidate. The candidate receiving the highest number of votes shall be the nominee of his party for such office or shall be elected to such party position, as the case may be, and the board, if requested, shall furnish to the elected candidates a certificate of election. From such certified statements of the votes for delegates and alternates elected to a state or judicial district convention of any party, other than a judicial district convention in the first, second, eleventh , twelfth and thirteenth judicial districts, the state board shall forthwith compile the roll of each such convention in duplicate and transmit it, if for a state convention, to the chairman and secretary of the state committee of the party, and if for a judicial district convention, to the chairman and secretary of the committee which, by party rules, is empowered to fix the time and place of the convention. The roll of the convention shall list the candidates elected at a primary in the order of the votes received by each candidate together with the number of votes received by each such candidate. If there shall have been no contested election for alternates, the names of the alternates shall appear on the roll in the order in which their names appear on the petition which designated them. The state board of elections shall transmit copies of the certified statements of the votes for delegates and alternates to a national convention of a party to the chairman and secretary of the state committee of such party.
N.Y. Elec. Law § 9-202