denigrate - DEN-ih-GRATE - belittle, put down
Example: "At a recent Alice Neel's art exhibit, a historian claimed that her portrait paintings rose to fame only after she stopped denigrating herself and her art."
As a starter: and as a former teacher in English, I hope to add to reader's vocabulary by presenting a word a day in simple terms that anyone can understand - from current use in publications, radio,TV, etc. Remember: use a new word three times in a day and it's yours forever!