Hessenberg may refer to:
People: Gerhard Hessenberg (1874–1925), German mathematician Karl Hessenberg (1904–1959), German mathematician and engineer Kurt Hessenberg (1908–1994), German composer and professor at the Hochschule für Musik und Darstellende Kunst in Frankfurt am Main
Mathematics: Hessenberg matrix, one that is "almost" triangular Hessenberg variety, a family of subvarieties of the full flag variety which are defined by a Hessenberg function h and a linear transformation X