Famous for the Riemann-Roch theorem, Gustav Roch, a renowned German mathematician and physicist, has promoted the development of algebraic geometry. Based on literature study and historical analysis, in this paper, Roch's life experience, major achievements and the related influence are reviewed. In his whole life, Roch demonstrated diligence and entrepreneurial spirit. He was brave to explore and persistent in scientific research, serious and responsible in teaching, and willing to serve as a ladder. His short life was full of infinite wisdom.

Gustav Roch  /  Riemann-Roch theorem  /  function theory  /  algebraic geometry