Teo Mora
Ferdinando 'Teo' Mora[a] is an Italian mathematician, and since 1990 until 2019 a professor of algebra at the University of Genoa.
Life and work
Mora's degree is in mathematics from the University of Genoa in 1974.[1] Mora's publications span forty years; his notable contributions in computer algebra are the
Gröbner bases and related algorithm earlier[4] to non-commutative polynomial rings[5] and more recently[6] to effective rings; less significant[7] 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 AAECC published by Springer,[8] and was also formerly an editor of the Bulletin of the Iranian Mathematical Society.[b]
He is the author of the tetralogy Solving Polynomial Equation Systems:
- Solving Polynomial Equation Systems I: The in one variable[9]
- Solving Polynomial Equation Systems II:
- Solving Polynomial Equation Systems III: Algebraic Solving,
- Solving Polynomial Equation Systems IV: Buchberger algorithm
Personal life
Mora lives in
Italian television said in 2014 that the books are an "authoritative guide with in-depth detailed descriptions and analysis."[12]
See also
- FGLM algorithm, Buchberger's algorithm
- Gröbner fan, Gröbner basis
- Algebraic geometry#Computational algebraic geometry, System of polynomial equations
References
- ^ a b University of Genoa faculty-page.
- ^ An algorithm to compute the equations of tangent cones; An introduction to the tangent cone algorithm.
- ^ Better algorithms due to Greuel-Pfister and Gräbe are currently available.
- ^ Gröbner bases for non-commutative polynomial rings.
- ^ Extending the proposal set by George M. Bergman.
- ^ De Nugis Groebnerialium 4: Zacharias, Spears, Möller, Buchberger–Weispfenning theory for effective associative rings; see also Seven variations on standard bases.
- ^ The result is a weaker version of the result presented in the same issue of the journal by Bayer and Morrison.
- ^ Springer-Verlag website.
- ^ Press.
- S2CID 12448065– via ACM Digital Library.
- ^ George Romero, Dario Argento, Mario Bava. ..."
- Radiotelevisione Italiana. September 12, 2014., also a well-known expert on horror films. His book Storia del cinema dell'orrore is an authoritative guide with in-depth detailed descriptions and analysis of films, directors, and actors... [multimedia: video content] ..."
...[text:] L'intervista — Teo Mora: Professore di Algebra presso il dipartimento di Informatica e Scienze dell'Informazione dell'Università di Genova, è anche un noto esperto di cinema horror. Ha curato Storia del cinema dell'orrore, un'autorevole guida in tre volumi con approfondimenti, schede e analisi dettagliate sui film, i registi e gli attori... [multimedia: video content] ...
Translation: "...[text:] professor of Algebra in the Computer and Information Science department of the University of Genoa
Notes
- ^ Teo Mora is his nickname, but used in most of his post-1980s publications; he has also used the pen name Theo Moriarty.[1]
- ^ See previous faculty-page.
Further reading
- Teo Mora (1977). Storia del cinema dell'orrore. Vol. 1. ISBN 88-347-0897-0. Reprinted 2001.
- George M Bergman (1978). "The diamond lemma for ring theory". .
- F. Mora (1982). "An algorithm to compute the equations of tangent cones". Computer Algebra: EUROCAM '82, European Computer Algebra Conference, Marseilles, France, April 5-7, 1982. Lecture Notes in Computer Science. Vol. 144. pp. 158–165. ISBN 978-3-540-11607-3.
- F. Mora (1986). "Groebner bases for non-commutative polynomial rings". Algebraic Algorithms and Error-Correcting Codes: 3rd International Conference, AAECC-3, Grenoble, France, July 15-19, 1985, Proceedings (PDF). Lecture Notes in Computer Science. Vol. 229. pp. 353–362. ISBN 978-3-540-16776-1.
- David Bayer; Ian Morrison (1988). "Standard bases and geometric invariant theory I. Initial ideals and state polytopes". .
- also in: Lorenzo Robbiano, ed. (1989). Computational Aspects of Commutative Algebra. Vol. 6. London: Academic Press.
- Teo Mora (1988). "Seven variations on standard bases".
- Gerhard Pfister; T.Mora; Carlo Traverso (1992). Christoph M Hoffmann (ed.). "An introduction to the tangent cone algorithm". Issues in Robotics and Nonlinear Geometry (Advances in Computing Research). 6: 199–270.
- T. Mora (1994). "An introduction to commutative and non-commutative Gröbner bases". .
- Hans-Gert Gräbe (1995). "Algorithms in Local Algebra". Journal of Symbolic Computation. 19 (6): 545–557. .
- Gert-Martin Greuel; G. Pfister (1996). "Advances and improvements in the theory of standard bases and syzygies". CiteSeerX 10.1.1.49.1231.
- M.Caboara, T.Mora (2002). "The Chen-Reed-Helleseth-Truong Decoding Algorithm and the Gianni-Kalkbrenner Gröbner Shape Theorem". Journal of Applicable Algebra. 13 (3): 209–232. S2CID 2505343.
- M.E. Alonso; M.G. Marinari; M.T. Mora (2003). "The Big Mother of All the Dualities, I: Möller Algorithm". S2CID 120556267.
- Teo Mora (March 1, 2003). Solving Polynomial Equation Systems I: The Kronecker-Duval Philosophy. Encyclopedia of Mathematics and its Application. Vol. 88. S2CID 118216321.
- T. Mora (2005). Solving Polynomial Equation Systems II: Macaulay's Paradigm and Gröbner Technology. Encyclopedia of Mathematics and its Applications. Vol. 99. Cambridge University Press.
- T. Mora (2015). Solving Polynomial Equation Systems III: Algebraic Solving. Encyclopedia of Mathematics and its Applications. Vol. 157. Cambridge University Press.
- T Mora (2016). Solving Polynomial Equation Systems IV: Buchberger Theory and Beyond. Encyclopedia of Mathematics and its Applications. Vol. 158. ISBN 9781107109636.
- T. Mora (2015). "De Nugis Groebnerialium 4: Zacharias, Spears, Möller". Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation, ISSAC '15. pp. 283–290. S2CID 14654596.
- Michela Ceria; Teo Mora (2016). "Buchberger–Weispfenning theory for effective associative rings". Journal of Symbolic Computation. 83: 112–146. S2CID 10363249.
- T Mora (2016). Solving Polynomial Equation Systems IV: Buchberger Theory and Beyond. Encyclopedia of Mathematics and its Applications. Vol. 158. ISBN 9781107109636.
External links
- Official page
- 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 Multiplication, Part 2: Moeller Lifting Theorem vs Buchberger Criteria, Part 3: What happens to involutive bases?. Invited talk at ICMS 2020 International Congress on Mathematical Software , Braunschweig, 13-16 July 2020
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