Born in Wetmore, Kansas, Geyer attended the public schools. He was graduated from Baker University, Baldwin City, Kansas, in 1922 and afterwards did post-graduate work at the University of Wisconsin–Madison and the University of Southern California at Los Los Angeles
During the First World War served as a private in the Third Company, First Battalion, Central Officers" Training School, Camp Grant, Illinois. He was a teacher and administrator in high schools in Kansas, Arizona and California from 1919 to 1938. He was an unsuccessful candidate for election in 1936 to the Seventy-fifth Congress.
Geyer was elected as a Democrat to the Seventy-sixth and Seventy-seventh Congresses and served from January 3, 1939, until his death.
He authored the first anti-poll tax legislation which had not passed at the time of his death but was continued by others to become the 24th Amendment to the United States Constitution. He served as delegate to the Democratic National Convention at Chicago in 1940.
He died in Washington, District of Columbia, October 11, 1941. He was interred in Wetmore Cemetery, Wetmore, Kansas.
He served as member of the State Assembly from 1935-1936.
