geske worked as chief staff attorney for the legal aid society of milwaukee until 1979. she was an assistant professor at marquette university law school from 1978–81 and was founding director of the marquette university law school's clinic for the elderly. from 1981 to 1993, geske served as a milwaukee county circuit court judge. in 1993, she was appointed to the wisconsin supreme court by governor tommy thompson, a republican. geske was elected to a full term on the court in 1994 but resigned from the bench in 1998. following her departure from the court, geske worked as a professor at marquette university, holding the association of marquette university women's chair in humanistic studies in 2000 and 2001. from february to may 2002, she served as the interim milwaukee county executive, following the resignation of f. thomas ament amid a massive pension scandal. later in 2002, geske was appointed interim dean of the marquette university law school, serving until 2003. geske has remained on the law school faculty and is on the faculty of the national judicial college in reno, nevada. in both 1994 and 2002, the milwaukee bar honored her with its lawyer of the year award.