In 1986 Conway left Cambridge after accepting appointment to the John von Neumann Chair of Mathematics at Princeton in the United States where much of his work has focused on geometry, in particular studying the symmetries of crystal lattices.
Sa 1986 Conway kaliwa Cambridge pagkatapos tanggapin appointment sa John von Neumann Chair ng Matematika sa Princeton sa Pilipinas na kung saan marami ng kanyang trabaho ay tumutok sa geometry, sa partikular na pag-aralan ang symmetries ng kristal lattices.