Roberto Conti (mathematician)
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Roberto Conti (23 April 1923 – 30 August 2006) was an Italian mathematician, who contributed to the theory of ordinary differential equationsSee . and the development of the comparison method.See .


Biography

Roberto Conti was born in Florence on 29 April 1923. He obtained his M.Sc. and Ph.D. in
mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
from the Scuola Normale Superiore di Pisa, under the supervision, respectively, of
Leonida Tonelli Leonida Tonelli (19 April 1885 – 12 March 1946) was an Italian mathematician, noted for creating Tonelli's theorem, a variation of Fubini's theorem, and for introducing semicontinuity methods as a common tool for the direct method in the calc ...
(replaced, after his premature death, by
Emilio Baiada Emilio Baiada (January 12, 1914 in Tunis – May 14, 1984 in Modena) was an Italian mathematician. Education and career He studied at the Scuola Normale Superiore in Pisa, where he graduated with highest honors in June 1937 along with Leonida Tone ...
) and
Giovanni Sansone Giovanni Sansone (24 May 1888 – 13 October 1979) was an Italian mathematician, known for his works on mathematical analysis, on the theory of orthogonal functions and on the theory of ordinary differential equations. He was an Invited Speaker ...
. Conti’s M.Sc. and Ph.D. dissertations dealt with
translation surface In mathematics a translation surface is a surface obtained from identifying the sides of a polygon in the Euclidean plane by translations. An equivalent definition is a Riemann surface together with a holomorphic 1-form. These surfaces arise in dyn ...
s (possibly a topic suggested by Tonelli after knowing about some Russian works) and particular aspects of the Cauchy problem. Later he held the position of research assistant to the chair of Sansone at the University of Florence. Their collaboration was fruitful and resulted in numerous articles, as well as the book (Sansone & Conti 1964), originally published in Italian, which was translated into a number of languages and became one of the standard texts on the subject in the 1960s. In 1956 Conti became full professor at the University of Catania, holding the chair of mathematical analysis until 1958, when he returned to Florence.. In 1963-1964 he held a visiting professorship at the
Research Institute for Advanced Studies The Baltimore-based Research Institute for Advanced Studies (RIAS), not to be confused with the better-known Institute for Advanced Study in Princeton, New Jersey, was among the several centers for research in the mathematical and physical science ...
(RIAS) in Baltimore, Maryland. His research focused on several topics, which often overlapped in the time and contributed to motivate each other. A leading theme was constituted by functional analysis and its applications to the theory of
ordinary differential equations In mathematics, an ordinary differential equation (ODE) is a differential equation whose unknown(s) consists of one (or more) function(s) of one variable and involves the derivatives of those functions. The term ''ordinary'' is used in contrast w ...
,
dynamical systems In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in an ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a p ...
and control systems. An impulse to do research on control systems was most probably given by his discussions with the Russian engineer and mathematician
Nicolas Minorsky Nicolas Minorsky (born Nikolai Fyodorovich Minorsky, russian: Николай Федорович Минорский; , Korcheva, Russian Empire  – 31 July 1970, Italy) was a Russian American control theory mathematician, engineer. and appli ...
, who first proposed application of control theory to the automatic steering of ships. Minorsky, after the
Russian Revolution The Russian Revolution was a period of Political revolution (Trotskyism), political and social revolution that took place in the former Russian Empire which began during the First World War. This period saw Russia abolish its monarchy and ad ...
, moved to U.S. and later to southern France: during that period he came frequently to Florence, to give seminars and exchange mathematical ideas with Sansone and Conti. On another hand, Conti’s contributions to the development of the comparison method for the qualitative analysis of differential equations were particularly prominent. He was a corresponding member of the
Accademia dei Lincei The Accademia dei Lincei (; literally the "Academy of the Lynx-Eyed", but anglicised as the Lincean Academy) is one of the oldest and most prestigious European scientific institutions, located at the Palazzo Corsini on the Via della Lungara in Rom ...
since 1983 and a full member since 1994,According to the Lincean yearbook (2012, p. 439), he was elected "''membro corrispondente''" on July 30, 1983, and "''membro nazionale''" on November 30, 1994. a foreign honorary member of the Romanian Academy since 1997MEMBRII ACADEMIEI ROMÂNE, Membrii AR din străinătate
and was also a member of the editorial board of the
Journal of Differential Equations A journal, from the Old French ''journal'' (meaning "daily"), may refer to: *Bullet journal, a method of personal organization *Diary, a record of what happened over the course of a day or other period *Daybook, also known as a general journal, a ...
since its inception in 1964 until his death in 2006.


Selected works


Books and book chapters

*, translated in English as *. *, translated in English as . * *. *.


Articles

*. *. *. *. * *. * *. *. *. *. *.


Notes


References

*. The "''Yearbook''" of the renowned Italian scientific institution, including an historical sketch of its history, the list of all past and present members as well as a wealth of information about its academic and scientific activities. *. *. *. *.


External links

* {{DEFAULTSORT:Conti, Roberto 1923 births 2006 deaths 20th-century Italian mathematicians Academic staff of the University of Catania Academic staff of the University of Florence Scientists from Florence Members of the Lincean Academy Honorary members of the Romanian Academy