Alberto Calderon. The Great... Alberto Calderón born in 1920 made a revolutionary influence and turned the 1950s trend toward abstract mathematics back to the study of mathematics for practical applications in physics, geometry, calculus, and many other branches of this field. His award-winning research in the area of integral operators is an example of his impact on contemporary mathematical analysis. Calderón received his early education there in Medoza and in Switzerland. His initial professional training was as a civil engineer at the University of Buenos Aires (graduated 1947), and he worked as an engineer for a few years. He simultaneously nurtured his passion for mathematics, partly under the guidance of Dr. Alberto Gonzalez Dominguez. The Beginning... Alberto Pedro Calderón was born in Mendoza on September 14, 1920 and was an Argentine mathematician best known for his work on the theory of partial differential equations and singular integral operators, and widely considered as one of the 20th century's most important mathematicians. Achievements! Calderón was recognized all over the world for his outstanding contributions to mathematics. He was a member of the National Academy of Sciences of the U.S., Argentina, Spain, and France of the Latin American Academy of Sciences of the Academy of Sciences of the Third World and of the American Academy of Arts and Sciences. He received honorary doctorates from the University of Buenos Aires, the Technion (Israel), the Ohio State University, and the Universidad Autonoma de Madrid. He gave many invited addresses to universities and to learned societies, and he was awarded many prizes. Among these are the Bôcher Prize (1979) and the Steele Prize (1989) from the American Mathematical Society, and the Wolf Prize in Mathematics (1989) from Israel. In 1992 President Bush awarded him the National Medal of Science, the U.S.’s highest award for scientific achievement. Alberto González Domínguez born in Buenos Aires on September 14, he was an Argentine mathematician working on analysis, probability theory and quantum field theory. González Domínguez received his Ph.D. from the University of Buenos Aires in 1939 under the direction of Julio Rey Pastor. That same year, González Domínguez received a Guggenheim Fellowship and worked for two years with Jacob Tamarkin at Brown University. González Domínguez spent most of his career as a professor at the University of Buenos Aires. Two events changed his future the first being when his supervisor at YPF (the state-owned petroleum company) made his life very difficult, and around the same time, Antoni Zygmund, one of the world’s leading mathematical analysts of the time and a professor at the University of Chicago, visited Argentina in 1948 at the invitation of Dr. Gonzalez Dominguez. Zygmund immediately recognized Calderón’s brilliance, and he invited Calderón to come to Chicago to work with him. Calderón arrived in Chicago in 1949. ...... by 1950 he had obtained his Ph.D. in mathematics under Zygmund’s supervision. Calderón’s dissertation (thesis) was marvelous. In it he solved three separate and long standing problems. From this point on, Calderón and Zygmund started one of the most successful collaborations in mathematical history. Together they created the modern theory of singular integrals, which has had enormous consequences for many areas of mathematics. They developed what has become known as the “Chicago school of analysis”, one of the most influential forces in pure mathematics.which has also had a great impact on applications to science and engineering. Besides his remarkable research accomplishments, Calderón was also a gifted teacher. During his career he taught at Ohio State University, the University of Buenos Aires, and the University of Chicago. He had many Ph.D. students, both in the U.S. and in Argentina. In Argentina he also served for several years as director of the Instituto Argentino de Matematica (IAM). Ph.D. Students of Alberto CalderónRobert T. Seeley, MIT (1958)

Irwin S. Bernstein, MIT (1959) I.

Norman Katz, MIT (1959)

Jerome H. Neuwirth, MIT (1959)

Earl Robert Berkson, Chicago (1960)

Evelio Oklander, Chicago (1964)

Cora S. Sadosky, Chicago (1965)

Stephen Vagi, Chicago (1965)

Umberto Neri, Chicago (1966)John C. Polking, Chicago (1966)

Nestor Marcelo Rivière, Chicago (1966)

Carlos Segovia-Fernandez, Chicago (1967)

Miguel S. J. de Guzman, Chicago (1968)

Daniel Fife, Chicago (1968)

Alberto Torchinsky, Chicago (1971)

Keith W. Powls, Chicago (1972)

Josefina Dolores Alvarez Alonso, Buenos Aires (1976) Telma Caputti, Buenos Aires (1976)

Robert Richard Reitano, MIT (1976)

Carlos E. Kenig, Chicago (1978)

Angel Bartolome Gatto, Buenos Aires (1979)

Cristian Enrique Gutierrez, Buenos Aires (1979)

Kent G. Merryfield, Chicago (1980)

F. Michael Christ, Chicago (1982)

Gerald M. Cohen, Chicago (1982)

Maria Amelia Muschietti, Buenos Aires (1984)

Marta Susana Urciolo, Buenos Aires (1985) By; Karla DeSantos

Mrs. Hannor

Block 2Aday. "Alberto Calderón was a very unassuming man of natural charm, a person of great elegance and restraint, and wonderful company. Mathematically Calderón was exceptional not only for the strength of his talent but for his peculiar way of grasping mathematics. He redid whole theories by himself, got to the core of what he wanted to know by himself, found always his own way. His ideas and the methods he developed were always extremely original and powerful. Although he was an individualist to the core, he influenced profoundly the work of others, who developed what is known as the “Calderón program”. He shared his knowledge freely with his students, yet did not closely follow their careers. Calderón was modest, sure of himself, and quite indifferent to competition. He was always happy to have been an engineer and conserved a real interest in applications." Thoughts on the Man. "... for his ground-breaking work on singular integral operators leading to their application to important problems in partial differential equations, including his proof of uniqueness in the Cauchy problem, the Atiyah -Singer index theorem, and the propagation of singularities in nonlinear equations..."-Bush Although this influence will continue to be felt, despite writing around 80 mathematical papers, Calderón never wrote a monograph on his highly original ideas. This lack of a definitive source has meant that the treatises which cover his fundamental work have been written by others. Interesting ? Dr. Calderón married in 1950. With Mabel Molinelli, his first wife who died in 1985, he had two children: María Josefina, who holds a doctorate in French literature from the University of Chicago, and Pablo Alberto, also a mathematician who studied in Buenos Aires and New York. In 1989 Calderón married again. His second wife, Dr. Alexandra Bellow, is also a distinguished mathematician and a professor of mathematics at Northwestern University in Evanston, near Chicago. Calderón died on April 16, 1998, at Northwestern Memorial Hospital in Chicago at the age of 77. The Death of Sir Calderon. Thank You!

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