Influenced by the work of Jacobi, Dirichlet and Steiner, Joachimsthal wrote on the theory of surfaces where he made substantial contributions, particularly to the problem of normals to conic sections and second degree surfaces.
Maaaring naaapektuhan ng mga gawain ng Jacobi, Dirichlet at Steiner, ang Joachimsthal wrote on teorya ng ibabaw na kung saan siya na ginawa substantial kontribusyon, lalo na ang mga problema ng normals sa alimusod seksyon at pangalawang degree ibabaw.