Medical residents on the front lines of the COVID-19 pandemic at Park Slope’s Methodist Hospital have been operating without a contract for several months after they say hospital administrators snubbed them during negotiations.  “We have been trying to renegotiate our union contract with Methodist since the fall,” said one resident, who asked to remain anonymous in fear of retaliation. “And the process has just been getting delayed and delayed.”  Their union negotiated their previous multi-year contract that expired in October 2019, forcing them to work without a stable contract ever since — and management has routinely avoided reopening negotiations and denied them a scheduled raise last November, said the resident.  “We had planned…