He was appointed as secretary to the Ionian Academy which had been founded only a short time before and he undertook deep research on mathematical topic, in particular studying the differential geometry of surfaces, and applied mechanics where he investigated the resistance of materials.
Siya ay hihirangin bilang secretary sa Ionian Academy na kung saan nagkaroon na itinatag lamang ng maikling panahon bago at siya undertook malalim pananaliksik sa matematika na topic, sa partikular na pag-aralan ang mga kaugalian geometry ng ibabaw, at ilalapat mechanics kung saan siya investigated ang paglaban ng mga materyales.