Mora's publications span forty years; his notable contributions in computergebra are the tangent cone algorithm[1][2] and its extension of Buchberger theory of Gröbner bases and related algorithm earlier[3] to non-commutative polynomial rings[4] and more recently[5] to effective rings; less significant[6] the notion of Gröbner fan; marginal, with respect to the other authors, his contribution to the FGLM algorithm.
Mora is on the managing-editorial-board of the journal Applicable Algebra in Engineering, Communication and Computing published by Springer,[7] and was also formerly an editor of the Bulletin of the Iranian Mathematical Society.
He is the author of the tetralogy Solving Polynomial Equation Systems: Mora lives in Genoa.
[10] Mora published a book trilogy in 1977-1978 (reprinted 2001-2003) called Storia del cinema dell'orrore on the history of horror films.
[10] Italian television said in 2014 that the books are an "authoritative guide with in-depth detailed descriptions and analysis.