Comments on Vladimir Voevodsky?s biologically motivated works

摘要

Vladimir Voevodsky?s contribution to Algebraic K-Theory is well known and was recognised by awarding him the Fields Medal. He became widely known in mathematical circles for his daring project of reforming the Foundations of Mathematics, a project he pursued until his untimely death. His ideas on the so-called ?univalent? foundations of mathematics were taken up by a broad community of mathematicians and continue to be developed today. Less well known is that he devoted several years of his life to a biologically motivated project aimed at developing a mathematical theory of population dynamics. He never published anything about it. The aim of the article is to summarise his ideas on this project and to draw them to the attention of the scientific community.