Described as "one of the leading Polish musicologists of his generation",[1] Szweykowski specialized in Renaissance and Baroque music, particularly that of Poland and Italy.

[4][5] He obtained his doctoral degree under Józef Michał Chomiński at Jagiellonian University, Kraków, in 1964;[4] his dissertation was on the "concertato technique" of Baroque Polish music.

[1][6] After working as Chybiński's assistant in Poznań from 1950 to 1953, Szweykowski returned to Kraków as editor of the PWM Edition music publisher from 1954 to 1961.

[1] Initially from the insistence of musicologist Stefania Łobaczewska [pl], Szweykowski gradually achieved higher positions at Jagiellonian University: assistant (1954–1963); assistant professor (1964–1970); musicology department head (from 1970); reader (1971–1989); a habilitation degree (1987); and full professor (from 1990).

[1] Among the composers he wrote on were Mikołaj Gomółka, Grzegorz Gerwazy Gorczycki, Marcin Mielczewski, Jan Staromiejski and Wacław of Szamotuły.