The amount and quality of Halphen's work is impressive, especially considering that his mathematically creative life covered only seventeen years. Why, then, is his name so little known?... he worked in analytic and differential geometry, a subject so unfashionable today as to be almost extinct.
Ang mga halaga at kalidad ng Halphen ng trabaho ay kahanga, lalo na kung isasaalang-alang na ang kanyang mathematically creative buhay sakop lamang labimpito taon. Bakit, at pagkatapos, ay ang kanyang pangalan kaya kaunti kilala?... siya nagtrabaho sa analytic geometry at kaugalian, isang paksa upang hindi na sa ngayon ay halos wala na.