From the docket at SCOTUS:
Jan 8 2013 Petition for a writ of certiorari filed. (Response due February 11, 2013)
Jan 11 2013 Consent to the fiing of amicus curiae briefs, in support of either party or of neither party, received from counsel for the petitioners.
Jan 31 2013 Order extending time to file response to petition to and including March 13, 2013.
This means that there are at least 2 amici briefs being submitted and that NY State has until March 13th to file their response. A reply brief may be filed no later than March 27th.
Then we will wait to find out if cert is granted. According to the calendar, conference dates are: Mar. 29; Apr. 12, 19 and 26. I expect we will know the Monday following one of those days.