The phrase "a considerable reputation in" is correct and usable in written English.
It can be used when discussing someone's or something's notable standing or recognition in a particular field or area.
Example: "The scientist has built a considerable reputation in the field of renewable energy research."
Alternatives: "a significant reputation in" or "a strong reputation in".
During the last decade, he has acquired a considerable reputation in Europe and South America.
Mr. Libeskind has won a considerable reputation in Europe, most recently for his Jewish Museum in Berlin.
Köchel developed a considerable reputation in botany and mineralogy but from about 1851 devoted himself especially to music and the work of Mozart.
Otherwise, you may find it remarkable that an artist with a considerable reputation in Europe for socially provocative work (particularly for video installations) could produce something so sophomoric.
Baird is a slender, striking dramatic soprano with a considerable reputation in Europe; she will sing Brünnhilde at the Seattle Opera next year.
It was only after these events that I learned Kite had a considerable reputation in the field of fertility treatment (although he is also highly regarded for his work with insomnia, depression and immune system disorders).
Both onstage and on disc the orchestra has developed a considerable reputation for specializing in American music, appropriate to a stellar representative of America's self-proclaimed Music City.
Before Beethoven left Bonn, he had acquired a very considerable reputation in northwest Germany as a piano virtuoso, with a particular talent for extemporization.
He found his matinee-idol throwback in the British actor Julian Ovenden, who has built a considerable reputation over the last decade in television ("Foyle's War," "The Forsyte Saga") and in London productions, among others, of "Merrily We Roll Along, Grand Hotelel" and "Annie Get Your Gun".
Nonetheless, Leo built up a considerable reputation as a theatre actor; in 1957, he replaced Jason Robards in the legendary Circle in the Square production of "The Iceman Cometh".
By 1973, when Philip Glass approached Wilson about the possibility of collaborating, both artists, still in their thirties, had developed a considerable reputation among their peers, if not in the artistic mainstream.
