In 1902 Richardson entered
Yale University, earning an AB in 1903 and a Masters in 1904. He became an instructor at Yale in the Math department and began research under Professor
James Pierpont. In 1906 Richardson was awarded a PhD by Yale for his thesis on "Improper Multiple Integrals." In 1907 he was appointed assistant professor of mathematics at Brown University, with the stipulation that he first spend a study year in
Göttingen,
Germany. He was appointed acting director of
Ladd Observatory in 1914 and served in this role until 1921. By 1915 Richardson had become a full professor and the head of the mathematics department at Brown. In 1926 he was also given the position of Dean of the Graduate School at Brown. Under Roland's leadership Brown's graduate program was recognized when Brown was elected to the elite
Association of American Universities in 1933. Richardson was the Secretary of the American Mathematical Society in 1921 and held the job until 1940. During his time, his contemporary
Raymond Clare Archibald, also of Nova Scotia, wrote in an article about Richardson, "No American mathematician was more widely known among his colleagues and the careers of scores of them were notably promoted by his time-consuming activities in their behalf." Richardson was credited with helping many European mathematicians concerned about conditions in Europe move to America during the 1930s. At the start of World War II Richardson organized accelerated applied mathematics courses at Brown for servicemen as the "Program of Advanced Instruction and Research in Applied Mechanics", recruiting German mathematician
William Prager to lead it. It became the first formal program in
applied mathematics in the United States when it was formed in 1941. This led to the founding of a new
Quarterly of Applied Mathematics, edited at Brown, in 1943. After the war the program was converted into a new graduate division of applied mathematics. From 1943 to 1946 he was a member of the applied mathematics panel of the
National Defense Research Committee. ==Family and death==