Ferdinando 'Teo' Mora is an Italian
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
, and since 1990 until 2019 a professor of
algebra
Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic ope ...
at the
University of Genoa
The University of Genoa () is a public research university. It is one of the largest universities in Italy and it is located in the city of Genoa, on the Italian Riviera in the Liguria region of northwestern Italy. The original university was fou ...
.
Life and work
Mora's degree is in mathematics from the
University of Genoa
The University of Genoa () is a public research university. It is one of the largest universities in Italy and it is located in the city of Genoa, on the Italian Riviera in the Liguria region of northwestern Italy. The original university was fou ...
in 1974. Mora's
publications
To publish is to make Content (media), content available to the general public.[Berne Conv ...](_blank)
span forty years; his notable contributions in
computergebra are the
tangent cone
In geometry, the tangent cone is a generalization of the notion of the tangent space to a manifold to the case of certain spaces with singularities.
Definitions in nonlinear analysis
In nonlinear analysis, there are many definitions for a tang ...
algorithm and its extension of
Buchberger theory of
Gröbner bases and related
algorithm
In mathematics and computer science, an algorithm () is a finite sequence of Rigour#Mathematics, mathematically rigorous instructions, typically used to solve a class of specific Computational problem, problems or to perform a computation. Algo ...
earlier to non-commutative
polynomial ring
In mathematics, especially in the field of algebra, a polynomial ring or polynomial algebra is a ring formed from the set of polynomials in one or more indeterminates (traditionally also called variables) with coefficients in another ring, ...
s and more recently to effective rings; less significant
[The result is a weaker version of the result presented
in the same issue of the journal
by Bayer and Morrison.] the notion of
Gröbner fan In computer algebra, the Gröbner fan of an ideal in the ring of polynomials is a concept in the theory of Gröbner bases. It is defined to be a fan consisting of cones that correspond to different monomial orders on that ideal. The concept was i ...
; marginal, with respect to the other authors, his contribution to the
FGLM algorithm
FGLM is one of the main algorithms in computer algebra, named after its designers, Faugère, Gianni, Lazard and Mora. They introduced their algorithm in 1993. The input of the algorithm is a Gröbner basis of a zero-dimensional ideal in the ring ...
.
Mora is on the
managing-editorial-board of the journal ''Applicable Algebra in Engineering, Communication and Computing'' published by
Springer
Springer or springers may refer to:
Publishers
* Springer Science+Business Media, aka Springer International Publishing, a worldwide publishing group founded in 1842 in Germany formerly known as Springer-Verlag.
** Springer Nature, a multinationa ...
,
[ and was also formerly an editor of the ''Bulletin of the ]Iranian Mathematical Society
The Iranian Mathematical Society (IMS) is the main mathematical society in Iran. It was officially registered in 1971 by Professor Mehdi Behzad, who was the first president of IMS. The current president of IMS is Professor Mohammad Sal Mosleh ...
''.
He is the author of the tetralogy ''Solving Polynomial Equation Systems'':
* ''Solving Polynomial Equation Systems I: The Kronecker- Duval Philosophy'', on equations in one variable[
* ''Solving Polynomial Equation Systems II: Macaulay's paradigm and Gröbner technology'', on equations in several variables][
* ''Solving Polynomial Equation Systems III: Algebraic Solving'',
* ''Solving Polynomial Equation Systems IV: Buchberger Theory and Beyond'', on the Buchberger algorithm
]
Personal life
Mora lives in Genoa
Genoa ( ; ; ) is a city in and the capital of the Italian region of Liguria, and the sixth-largest city in Italy. As of 2025, 563,947 people live within the city's administrative limits. While its metropolitan city has 818,651 inhabitan ...
.[ Mora published a book trilogy in 1977-1978 (reprinted 2001-2003) called ''Storia del cinema dell'orrore'' on the ]history of horror films
The history of horror films was described by author Siegbert Salomon Prawer, Siegbert Solomon Prawer as difficult to read as a linear path, with the genre changing through the decades, based on the History of film, state of cinema, Audience theo ...
.[ ]Italian television
Television in Italy was Timeline of the introduction of television in countries, introduced in 1939, when the first experimental broadcasts began. However, this lasted for a very short time: when fascist Italy entered World War II in 1940, all ...
said in 2014 that the books are an "authoritative guide with in-depth detailed descriptions and analysis."[
]
See also
* FGLM algorithm
FGLM is one of the main algorithms in computer algebra, named after its designers, Faugère, Gianni, Lazard and Mora. They introduced their algorithm in 1993. The input of the algorithm is a Gröbner basis of a zero-dimensional ideal in the ring ...
, Buchberger's algorithm
* Gröbner fan In computer algebra, the Gröbner fan of an ideal in the ring of polynomials is a concept in the theory of Gröbner bases. It is defined to be a fan consisting of cones that correspond to different monomial orders on that ideal. The concept was i ...
, Gröbner basis
In mathematics, and more specifically in computer algebra, computational algebraic geometry, and computational commutative algebra, a Gröbner basis is a particular kind of generating set of an ideal in a polynomial ring K _1,\ldots,x_n/math> ove ...
* Algebraic geometry#Computational algebraic geometry, System of polynomial equations
A system of polynomial equations (sometimes simply a polynomial system) is a set of simultaneous equations where the are polynomials in several variables, say , over some Field (mathematics), field .
A ''solution'' of a polynomial system is a se ...
References
Notes
Further reading
* . and volumes: , . Reprinted 2001.
*
*
*
*
** also in:
*
*
*
*
*
*
*
*
*
*
*
*
*
*
External links
* Teo Mora and Michela Ceria, Do It Yourself: Buchberger and Janet bases over effective rings
Part 1: Buchberger Algorithm via Spear’s Theorem, Zacharias’ Representation, Weisspfenning MultiplicationPart 2: Moeller Lifting Theorem vs Buchberger CriteriaPart 3: What happens to involutive bases?
Invited talk a
ICMS 2020 International Congress on Mathematical Software
Braunschweig, 13-16 July 2020
{{DEFAULTSORT:Mora, Teo
Year of birth missing (living people)
Living people
Italian mathematicians
Computer algebra
Academic staff of the University of Genoa
University of Genoa alumni