Biography:Aldo Andreotti
Aldo Andreotti | |
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Aldo Andreotti | |
Born | Firenze | March 14, 1924
Died | February 21, 1980 Pisa | (aged 55)
Resting place | San Francesco de' Ferri |
Nationality | Italian |
Alma mater | Università di Pisa |
Known for | Andreotti–Vesentini theorem |
Scientific career | |
Fields |
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Institutions |
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Doctoral advisor | Francesco Cecioni |
Other academic advisors | Francesco Severi |
Aldo Andreotti (15 March 1924 – 21 February 1980) was an Italian mathematician who worked on algebraic geometry, on the theory of functions of several complex variables and on partial differential operators. Notably he proved the Andreotti–Frankel theorem, the Andreotti–Grauert theorem, the Andreotti–Vesentini theorem and introduced, jointly with François Norguet, the Andreotti–Norguet integral representation for functions of several complex variables.
Andreotti was a visiting scholar at the Institute for Advanced Study in 1951 and again from 1957 through 1959.[1]
Selected publications
Aldo Andreotti published 100 scientific works, including papers, books and lecture notes: many of them, except all his books but (Andreotti Nacinovich), are collected in his "Selecta" (Andreotti 1982, 1992, 1994, 1999). In his "Selecta" are also included three unpublished sets of lecture notes,[2] the first one prepared by Philippe Artzner from a course on the theory of analytic functions of several complex variables held by Andreotti during winter 1961 at the University of Strasbourg,[3] the second and third ones taken from two lectures held by Francesco Gherardelli at the "Seminario di Geometria"[4] of the Scuola Normale Superiore during the years 1971–1972 and 1971–1972 respectively, on topics concerning his joint work with Andreotti:[5] despite their nature of unpublished works, (Vesentini 1992) states that they have brought significant contributions to research.[6]
Articles
- Andreotti, Aldo; Grauert, Hans (1962), "Théorèmes de finitude pour la cohomologie des espaces complexes" (in fr), Bulletin de la Société Mathématique de France 90: 193–259, doi:10.24033/bsmf.1581.
- Andreotti, Aldo; Vesentini, Edoardo (1965), "Carleman estimates for the Laplace-Beltrami equation on complex manifolds", Publications Mathématiques de l'IHÉS 25: 81–130, doi:10.1007/bf02684398, ISSN 1618-1913, http://www.numdam.org/item?id=PMIHES_1965__25__81_0.
- Andreotti, Aldo; Norguet, François (20 January 1964), "Problème de Levi pour les classes de cohomologie" (in fr), Comptes rendus hebdomadaires des séances de l'Académie des Sciences 258 (Première partie): 778–781, http://gallica.bnf.fr/ark:/12148/bpt6k40102/f824.image.
- Andreotti, Aldo; Vesentini, Edoardo (1965b), "Erratum. Carleman estimates for the Laplace-Beltrami equation on complex manifolds", Publications Mathématiques de l'IHÉS 27: 153–155, doi:10.1007/bf02684376, ISSN 1618-1913, http://www.numdam.org/item?id=PMIHES_1965__27__153_0.
- Andreotti, Aldo; Norguet, François (1966), "Problème de Levi et convexité holomorphe pour les classes de cohomologie" (in fr), Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Serie III 20 (2): 197–241, http://www.numdam.org/item?id=ASNSP_1966_3_20_2_197_0.
- Andreotti, Aldo; Hill, C. Denson (1972), "E. E. Levi convexity and the Hans Lewy problem. Part I: reduction to vanishing theorems", Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Serie III 26 (2): 325–363, http://www.numdam.org/item?id=ASNSP_1972_3_26_2_325_0.
- Andreotti, Aldo; Hill, C. Denson (1972b), "E. E. Levi convexity and the Hans Lewy problem. Part II: vanishing theorems", Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Serie III 26 (4): 747–806, http://www.numdam.org/item?id=ASNSP_1972_3_26_4_747_0.
Books
- Andreotti, Aldo; Stoll, Wilhelm (1971), Analytic and algebraic dependence of meromorphic functions, Lecture Notes in Mathematics, 234, Berlin–Heidelberg–New York: Springer-Verlag, pp. iii+390, doi:10.1007/BFb0058595, ISBN 978-3-540-05670-6.
- Andreotti, Aldo (1974), "Nine lectures on complex analysis", in Gherardelli, Francesco, Complex Analysis. C.I.M.E. I Ciclo. Bressanone, 3–12 Giugno 1973, C.I.M.E. Summer Schools, 62, Roma: Edizioni Cremonese, pp. 1–175, doi:10.1007/978-3-642-10964-5_1.
- Andreotti, Aldo (1975), Complexes of partial differential operators, Yale Mathematical Monographs, 6, New Haven, Conn. – London: Yale University Press, pp. vi+49.
- Andreotti, Aldo (1976) (in it), Introduzione all'analisi complessa (Lezioni tenute nel febbraio 1972), Contributi del Centro Linceo Interdisciplinare di Scienze Matematiche e Loro Applicazioni, 24, Rome: Accademia Nazionale dei Lincei, pp. 34, http://www.lincei.it/pubblicazioni/catalogo/volume.php?lg=e&rid=33190, retrieved 2012-10-20. A short course in the theory of functions of several complex variables, held in February 1972 at the Centro Linceo Interdisciplinare di Scienze Matematiche e Loro Applicazioni "Beniamino Segre".
- Andreotti, Aldo (1978) (in fr), Étude de géométrie algébrique, Strasbourg: Université Louis Pasteur, Département de Mathématique, Institut de Recherche Mathématique Avancée, pp. 340.
- Andreotti, Aldo; Nacinovich, Mauro (1980), Analytic Convexity and the Principle of Phragmén–Lindelöf, Quaderni, Pisa: Edizioni della Normale, pp. 184, ISBN 978-88-7642-243-0.
- Andreotti, Aldo (1982), Geometrica algebrica, Selecta di opere, I, Pisa: Scuola Normale Superiore, pp. 424, https://books.google.com/books?id=JcNUAAAAYAAJ. The first volume of his selected works, collecting his and his coworkers contributions in algebraic geometry.
- Andreotti, Aldo (1992), Analisi complessa. Tomo I, Selecta di opere, II, Pisa: Scuola Normale Superiore, pp. 1–488. The first part (tomo) of the second volume of his selected works, collecting his and his coworkers contributions to the theory of functions of several complex variables.
- Andreotti, Aldo (1994), Analisi complessa. Tomo II, Selecta di opere, II, Pisa: Scuola Normale Superiore, pp. 489–1144. The second part (tomo) of the second volume of his selected works, collecting his and his coworkers contributions to the theory of functions of several complex variables.
- Andreotti, Aldo (1999), Complessi di operatori differenziali, Selecta di opere, III, Pisa: Scuola Normale Superiore, pp. 633. The third and last volume of his selected works, collecting his and his coworkers contributions to the theory partial differential operators in the form of the study of complexes of differential operators.
See also
- Bochner–Martinelli formula
- Chain complexes
- Cohomology
Notes
- ↑ According to The Institute for Advanced Study|2012}}|Andreotti's Community of Scholars web site Profile and to (Mitchell 1980).
- ↑ See (Andreotti 1992) and the premise to the volume by (Vesentini 1992).
- ↑ See (Andreotti 1992) and the premise to the volume by (Vesentini 1992).
- ↑ The "Geometry Seminar" was a seminar on advanced geometry topics held at the Scuola Normale Superiore.
- ↑ See (Andreotti 1992) and the premise to the volume by (Vesentini 1992).
- ↑ Precisely, (Vesentini 1992) writes:-"Ad esse si aggiungono due opere – mai apparse in libri e riviste – che hanno tuttavia portato contributi significativi alla ricerca matematica" (English translation:"Added to these there are two works – never published in books or journals – that nevertheless have brought significant contributions to the research").
References
Biographical and general references
- Hill, C. Denson (2011), "Aldo Andreotti", Bollettino dell'Unione Matematica Italiana, Serie 9 4 (2): 295–299.
- Mitchell, Janet A., ed. (1980), A Community of Scholars. Faculty and Members 1930-1980, Princeton, New Jersey: The Institute for Advanced Study, pp. xxii+565, http://library.ias.edu/files/pdfs/hs/cos.pdf, retrieved 2012-10-20.
- The Institute for Advanced Study (2012), "Andreotti, Aldo", A Community of Scholars, https://www.ias.edu/scholars/aldo-andreotti, retrieved 21 May 2016.
- The Editorial Board (1981), "List of publications by Aldo Andreotti", Compositio Mathematica 44 (1): 7–15, ISSN 0010-437X, http://www.numdam.org/item?id=CM_1981__44_1-3_7_0
- Gherardelli, Francesco (1981), "Aldo Andreotti" (in it), Bollettino dell'Unione Matematica Italiana, Sezione A, Serie V 18 (2): 337–345. Includes a publication list.
- Marchionna, Ermanno (1981), "Commemorazione di Aldo Andreotti" (in it), Atti della Accademia delle Scienze di Torino, Classe di Scienze Fisiche, Matematiche e Naturali 115: 393–410. A "commemoration" by a colleague and friend, including a publication list.
- Ridolfi, Roberto, ed. (1976), "Aldo Andreotti" (in it), Biografie e bibliografie degli Accademici Lincei, Roma: Accademia Nazionale dei Lincei, pp. 59–61. The biographical and bibliographical entry (updated up to 1976) on Aldo Andreotti, published under the auspices of the Accademia dei Lincei in a book collecting many profiles of its living members up to 1976.
- Vesentini, Edoardo (December 1981), "Aldo Andreotti" (in it), Atti della Accademia Nazionale dei Lincei, Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali, Serie VIII LXXI (6): 253–258, http://www.bdim.eu/item?id=RLIN_1981_8_71_6_251_0. Recollections on him by a coauthor, colleague and friend.
- Vesentini, Edoardo (1982), "Ricordo di Aldo Andreotti", in Andreotti, Aldo (in it), Geometrica algebrica, Selecta di opere, I, Pisa: Scuola Normale Superiore, pp. 7–16, https://books.google.com/books?id=JcNUAAAAYAAJ. "Recollection of Aldo Andreotti" is the commemoration of Andreotti held by Vesentini at the Sala degli Stemmi of the Scuola Normale Superiore on 2 May 1980.
- Vesentini, Edoardo (1992), "Premessa", in Andreotti, Aldo (in it), Analisi complessa. Tomo I, Selecta di opere, II, Pisa: Scuola Normale Superiore, p. 5, https://books.google.com/books?id=JcNUAAAAYAAJ. The "Premise" by Vesentini to the second volume of Andreotti's Selecta.
Scientific references
- Tarkhanov, Nikolai N. (1990), Шубин, М. А., ed. (in ru), Метод параметрикса в теории дифференциальных комплексов, Novosibirsk: Наука, pp. 248, ISBN 5-02-028732-6
- Tarkhanov, Nikolai N. (1995), Complexes of Differential Operators, Mathematics and Its Applications, 340 (translated and revised ed.), Dordrecht–Boston–London: Kluwer Academic Publishers, pp. xviii+396, doi:10.1007/978-94-011-0327-5, ISBN 0-7923-3706-9.
External links
- O'Connor, John J.; Robertson, Edmund F. (July 2012), "Aldo Andreotti", MacTutor History of Mathematics archive, University of St Andrews, http://www-history.mcs.st-andrews.ac.uk/Biographies/Andreotti.html.
- Aldo Andreotti at the Mathematics Genealogy Project
- Aldo Andreotti
Original source: https://en.wikipedia.org/wiki/Aldo Andreotti.
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