Daniel Rudolph
Daniel Jay Rudolph (1949–2010) was a mathematician who was considered a leader in ergodic theory and dynamical systems. He studied at Caltech and Stanford and taught postgraduate mathematics at Stanford University, the University of Maryland and Colorado State University, being appointed to the Albert C. Yates Endowed Chair in Mathematics at Colorado State in 2005. He jointly developed a theory of restricted orbit equivalence which unified several other theories. He founded and directed an intense preparation course for graduate math studies and began a Math circle for middle-school children. Early in life he was a modern dancer. He died in 2010 from amyotrophic lateral sclerosis, a degenerative motor neuron disease. Early life and education Rudolph was born to William Franklin Rudolph (1922–2000) and Betty Johnalou Waldner (1921–2004). He was the second of three sons, the others being Gregory and James. The family moved to Fort Collins when Daniel was very young. He attended Fort Collins High School where he was active in the chemistry, physics, computer and flying clubs, and was on the student council. He was a semifinalist in the Westinghouse Science Talent Search. He graduated from Fort Collins High School in 1968 and matriculated at the California Institute of Technology. He attended Caltech on a Sloan Research Fellowship, and planned to major in theoretical physics. He soon changed his mind and graduated with a bachelor's degree in mathematics in 1972. Before graduating he won Caltech's Bell Prize for Undergraduate Mathematics Research. Career Rudolph moved to Stanford University in 1972 where revolutionary work was being done on ergodic theory. He was awarded a Master of Science in 1973 and completed his PhD under the supervision of Don Ornstein in 1975, with the thesis "Non-Bernoulli Behavior of the Roots of K-automorphisms". His work in ergodic theory focused on measure theory, as opposed to the functional analysis approach that dominated ergodic theory. His description of ergodic theory: From August 1975 to August 1976, Rudolph was a postdoctoral fellow at the Hebrew University of Jerusalem, where he devised a solution to a problem in ergodic theory that had resisted solutions by Ornstein and others, entitled "When are two-point extensions of Bernoulli shifts also Bernoulli shifts?". In so doing he devised the method of "nesting" which evolved into a powerful tool. He also began his studies into varieties of orbit equivalence. He became a fellow of the Miller Institute at U.C. Berkeley from late 1976 to 1978 and was appointed assistant professor at Stanford University from 1978 to 1981. He spent part of 1979 at the University of Maryland where he studied dynamics. At Maryland, he lived at "Ergodic House" with Bruce Kitchens, Brian Marcus and Laif Swanson; they were regularly visited by Doug Lind and Andres del Junco. In 1981 Rudolph was appointed associate professor at the University of Maryland and was awarded a Sloan Research Fellowship. This is also where he became recognised as a world leader in ergodic theory. He was appointed professor of mathematics in 1985 and was at