Jorge Duque Franco

Since August 2025, I have been a Postdoctoral Fellow at INST-MAT, Universidad de Talca, under the supervision of Prof. Alvaro Liendo, having previously served as a visiting professor at the same institution. Before this, until April 2025, I was a Postdoctoral Fellow in the Mathematics department at Universidad de Chile, working under the supervision of Prof. Robert Auffarth. I obtained my Ph.D. in Mathematics from IMPA in April 2021, under the guidance of Prof. Hossein Movasati. Earlier, I completed my M.S. in Mathematics at IMPA and my B.S. in Mathematics at Universidad de Antioquia (UdeA).

My research area is algebraic/complex geometry. I am interested in the relation between periods (roughly speaking multiple integrals), topology and geometry of algebraic varieties, and the superlative role of periods in transcendence theory. I have used and calculated periods to study Hodge cycles and their associated loci, especially inside Fermat varieties, as well as transcendental properties of periods over Hodge cycles. My current research focuses on studying some Hodge structures and some applications.