"I was a man of the Renaissance that evening - of Browning's renaissance."

 Renaissance man is usually depicted as a highly educated individual with a broad understanding of many fields, including both the arts and the sciences.

Charles Ryder is identifying with men of the Renaissance, as portrayed by the poet Robert Browning (1812-1889) in works such as Paracelsus (1835), My Last Duchess (1842), and The Bishop Orders his Tomb at St. Praxed's Church (1845). As the subjects of these poems are very diverse in nature, the meaning of Charles Ryder's identification is open to interpretation.