Teo Mora

Ferdinando 'Teo' Mora[lower-alpha 1] 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 tangent cone algorithm[2][3] and its extension of Buchberger theory of 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.[lower-alpha 2]

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[9]
• Solving Polynomial Equation Systems II: Macaulay's paradigm and Gröbner technology, on equations in several variables[10][9]
• 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.[11] Mora published a book trilogy in 1977-1978 (reprinted 2001-2003) called Storia del cinema dell'orrore on the history of horror films.[11] 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

1. University of Genoa faculty-page.
2. An algorithm to compute the equations of tangent cones; An introduction to the tangent cone algorithm.
3. Better algorithms due to Greuel-Pfister and Gräbe are currently available.
4. Gröbner bases for non-commutative polynomial rings.
5. Extending the proposal set by George M. Bergman.
6. De Nugis Groebnerialium 4: Zacharias, Spears, Möller, Buchberger–Weispfenning theory for effective associative rings; see also Seven variations on standard bases.
7. The result is a weaker version of the result presented in the same issue of the journal by Bayer and Morrison.
8. Springer-Verlag website.
9. David P. Roberts (UMN) (September 14, 2006). "[Review of the book] Solving Polynomial Equation Systems I: The Kronecker-Duval Philosophy [and also Solving Polynomial Equation Systems II: Macaulay's Paradigm and Gröbner Technology]". Mathematical Association of America Press.
10. S. C. Coutinho (UFRJ) (March 2009). "Review of solving polynomial equation systems II: Macaulay's paradigm and Gröbner technology by Teo Mora (Cambridge University Press 2005)" (PDF). SIGACT Newsletter. 40 (1): 14–17. doi:10.1145/1515698.1515702 – via Publisher's site.
11. Giovanni Bogani (December 11, 2002). "O tempora, O... Teo Mora". Genoa, Italy: Repubblica.it. ...Teo Mora vive a Genova. ...scritto libri come La madre di tutte le dualità: l'algoritmo di Moeller, Il teorema di Kalkbrenner, o L'algoritmo di Buchberger ... Negli [1977] anni ’70, Mora aveva scritto una monumentale Storia del cinema horror. ... la [2001] ripropone, in una nuova edizione, riveduta, corretta e completamente aggiornata. ...Nel primo volume... fino al 1957... Nosferatu, attori come Boris Karloff e Bela Lugosi... film come Il gabinetto del dottor Caligari. ...Nel secondo volume si arriva fino al 1966... Roger Corman... Il terzo volume arriva fino al 1978... Brian De Palma, David Cronenberg, George Romero, Dario Argento, Mario Bava. ... Translation: "...Teo Mora lives in Genoa. ...written works include The Mother of All Dualities: The Möller Algorithm, The Kalkbrenner Theorem, and The Buchberger Algorithm ... In the 1970s, Mora wrote the monumental History of Horror Cinema. ...reprinted [in 2001], as a new edition: revised, corrected, and completely updated. Two volume are already out, the third [volume] will be released in late January [2002], the fourth [volume] in spring 2003. ... In the first volume... [covering] through 1957... Nosferatu, actors like Boris Karloff and Bela Lugosi... films like The Cabinet of Dr Caligari. ...The second volume covers until 1966... Roger Corman, director ...The third volume covers through 1978... Brian De Palma, David Cronenberg, George Romero, Dario Argento, Mario Bava. ..."
12. "Mostri Universal" [The Universal Pictures monsters] (20). RAI 4, Radiotelevisione Italiana. September 12, 2014. ...[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, 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] ..."

Notes

1. Teo Mora is his nickname, but used in most of his post-1980s publications; he has also used the pen name Theo Moriarty.[1]
2. See previous faculty-page.

Further reading

• Teo Mora (1977). Storia del cinema dell'orrore. 1. Fanucci. ISBN 978-88-347-0800-2.. "Second". and "third". volumes: ISBN 88-347-0850-4, ISBN 88-347-0897-0. Reprinted 2001.
• George M Bergman (1978). "The diamond lemma for ring theory". Advances in Mathematics. 29 (2): 178–218. doi:10.1016/0001-8708(78)90010-5.
• F. Mora (1982). An algorithm to compute the equations of tangent cones. Proc.EUROCAM'82: Lecture Notes in Computer Science (Computer Algebra). Lecture Notes in Computer Science. 144. pp. 158–165. doi:10.1007/3-540-11607-9_18. ISBN 978-3-540-11607-3.
• F. Mora (1986). Gröbner bases for non-commutative polynomial rings (PDF). Proc.AAECC3: Lecture Notes in Computer Science. Lecture Notes in Computer Science. 229. pp. 353–362. doi:10.1007/3-540-16776-5_740. ISBN 978-3-540-16776-1.
• David Bayer; Ian Morrison (1988). "Standard bases and geometric invariant theory I. Initial ideals and state polytopes". Journal of Symbolic Computation. 6 (2–3): 209–218. doi:10.1016/S0747-7171(88)80043-9.
  • also in: Lorenzo Robbiano, ed. (1989). Computational Aspects of Commutative Algebra. 6. London: Academic Press.
• Teo Mora (1988). "Seven variations on standard bases" – via Bibliography.
• 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". Theoretical Computer Science. 134: 131–173. doi:10.1016/0304-3975(94)90283-6 – via Publisher's site.
• Hans-Gert Gräbe (1995). "Algorithms in Local Algebra". Journal of Symbolic Computation. 19 (6): 545–557. doi:10.1006/jsco.1995.1031.
• 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". AAECC: J.Appl.Alg. 13 (3): 209–232. doi:10.1007/s002000200097 – via Publisher's site. Author's site.
• M.E. Alonso; M.G. Marinari; M.T. Mora (2003). "The Big Mother of All the Dualities, I: Möller Algorithm". Communications in Algebra. 31 (2): 783–818. CiteSeerX 10.1.1.57.7799. doi:10.1081/AGB-120017343 – via Publisher's site. Author's site.
• Teo Mora (March 1, 2003). Solving Polynomial Equation Systems I: The Kronecker-Duval Philosophy (PDF). Encyclopedia of Mathematics and its Applications Series. 88. Cambridge University Press. ISBN 9780521811545 – via Publisher's website. Excerpt.
• T. Mora (2005). Solving Polynomial Equation Systems II: Macaulay's Paradigm and Gröbner Technology. Encyclopedia of Mathematics and its Applications. 99. Cambridge University Press.
• T. Mora (2015). Solving Polynomial Equation Systems III: Algebraic Solving. Encyclopedia of Mathematics and its Applications. 157. Cambridge University Press.
• T Mora (2016). Solving Polynomial Equation Systems IV: Buchberger Theory and Beyond. Encyclopedia of Mathematics and its Applications. 158. Cambridge University Press. ISBN 9781107109636.
• T. Mora (2015). De Nugis Groebnerialium 4: Zacharias, Spears, Möller. Proc. ISSAC '15. pp. 283–290. doi:10.1145/2755996.2756640. ISBN 9781450334358.
• Michela Ceria; Teo Mora (2016). "Buchberger–Weispfenning theory for effective associative rings". Journal of Symbolic Computation. 83: 112–146. arXiv:1611.08846. doi:10.1016/j.jsc.2016.11.008.
• T Mora (2016). Solving Polynomial Equation Systems IV: Buchberger Theory and Beyond. Encyclopedia of Mathematics and its Applications. 158. Cambridge University Press. 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