The special election to fill the seat of Kirsten Gillibrand looks to be March 31:

ALBANY, N.Y. — During a news conference in Albany on Wednesday, Governor Paterson was asked about setting a date for the special election in the 20th Congressional District.
Paterson said he plans to issue a proclamation on Feb. 23 which will formally set the date. The election is expected to be held on March 31.
Assembly Minority Leader Jim Tedisco and North Country businessman Scott Murphy are both looking to fill the seat recently vacated by Kirsten Gillibrand.

Tedisco is the Republican, Murphy the Democrat. Tedisco’s campaign website here. Recent nonsense from the left over Tedisco’s Twitter account here.