Wilczynski had begun his research career as a mathematical astronomer but his study of the dynamics of astronomical objects had turned his interests towards differential equations and then to projective differential geometry and ruler surfaces.
Wilczynski had sinimulan ang kanyang pananaliksik karera bilang isang matematiko astronomer ngunit ang kanyang pag-aaral ng dinamika ng astronomya mga bagay na yari sa kanyang mga interes sa equation kaugalian at pagkatapos ay sa projective kaugalian geometry at pinuno ibabaw.