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Harold Widom
Harold Widom.jpg
Born (1932-09-23)23 September 1932
Died 20 January 2021(2021-01-20) (aged 88)
Alma mater University of Chicago
City College of New York
Scientific career
Fields Mathematics
Institutions Cornell University
University of California, Santa Cruz
Doctoral advisor Irving Kaplansky

Harold Widom (born September 23, 1932 – died January 20, 2021) was an American mathematician. He was famous for his important work in a part of math called operator theory and with random matrices. These are like special rules for numbers and tables of random numbers. He worked at the University of California, Santa Cruz from 1968. He became a retired professor, known as a professor emeritus, in 1994.

Harold Widom's Early Life and Studies

Harold Widom was born in Newark, New Jersey. He went to Stuyvesant High School and finished in 1949. He was part of the school's math team, just like his brother, Benjamin Widom.

He then studied at City College of New York until 1951. While there, he won the William Lowell Putnam Mathematical Competition in 1951. This is a very challenging math contest for college students.

Harold Widom continued his studies at the University of Chicago. He earned his Master of Science (M.S.) degree in 1952. Later, in 1955, he received his Ph.D. (Doctor of Philosophy). His advanced research was guided by Irving Kaplansky.

Teaching and Research Discoveries

From 1955 to 1968, Harold Widom taught mathematics at Cornell University. During this time, he started working on special math problems called Toeplitz and Wiener-Hopf operators. Another mathematician, Mark Kac, helped inspire some of his early ideas.

In 1968, Widom joined the Department of Mathematics at the University of California, Santa Cruz. He became a retired professor there in 1994. His main areas of research involved integral equations and operator theory. He especially focused on understanding how certain math problems behave. He also studied how these problems change over time.

More recently, Harold Widom worked closely with his friend and colleague, Craig Tracy. Together, they made big discoveries about Tracy–Widom distribution functions. These are special math patterns found in random matrices. They used advanced math tools to show how these patterns appear. Their work helped explain how the largest and smallest numbers behave in many random number tables.

These same math patterns have since been found in many other areas. This includes how things grow randomly and in a field called asymptotic combinatorics.

Harold Widom wrote two books and more than 120 articles for math journals. He also helped edit several important math magazines.

He passed away at his home in Santa Cruz, California, on January 20, 2021. He was 88 years old.

Awards and Honors

Harold Widom received many awards for his important contributions to mathematics:

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