Jorge Duque Franco
Postdoctoral Fellow at Instituto de Matemáticas, Universidad de Talca. I study periods, Hodge cycles, and the loci they trace out on moduli of algebraic varieties.
About
01Since 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. I obtained my Ph.D. in Mathematics from IMPA in April 2021.
My research area is algebraic/complex geometry. I am interested in the relation between periods, topology, and geometry of algebraic varieties, and the superlative role periods play in transcendence theory. My current research focuses on Hodge structures and their applications.
- I. Mathematical talent is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.
- II. Everyone can have joyful, meaningful, and empowering mathematical experiences.
- III. Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.
- IV. Every student deserves to be treated with dignity and respect.
Research
02Automorphism groups of rigid complete intersections
J. Duque, A. Liendo, & A.J. Palomino.
Teaching
03A look at the Hodge conjecture and related problems
Ph.D. and M.Sc. mini-course
Selected Talks
04De ecuaciones e integrales a la Teoría de Hodge (Spanish)
Coloquio del Departamento de Matemáticas, Universidad de La Serena
An informal talk about the Hodge conjecture (Spanish)
Seminario Institucional, Instituto de Matemáticas, UdeA