ALBANY — City Council Speaker Melissa Mark-Viverito went to the Capitol Monday to lobby for more funding for the city, a task usually done by the mayor.

Last year, Mayor de Blasio traveled to Albany to push his agenda. But this year, Mark-Viverito took on the duty because de Blasio is seen as persona non grata in the Republican-controlled state Senate, a source from that chamber said.

Mark-Viverito met with Gov. Cuomo, Assembly Speaker Carl Heastie and briefly with Senate Republican Majority Leader John Flanagan to push for CUNY and health-care funding and for help with homelessness, sources said.