Armando Gutierrez Terradillos.
Mathematics, Number theory.
Mathematics, Number theory.
I am currently a PostDoc at Aarhus University, working in the research group led by Paul Nelson.
In May 2023 I received my PhD at Universitat Politècnica de Catalunya (UPC) under the supervision of Gerard Freixas and Victor Rotger. Then, I was a PostDoc at the Morningside Center of Mathematics, AMSS, Chinese Academy of Sciences (Beijing).
My research focuses on the study of automorphic representations and their L-functions. I am interested in two complementary perspectives on this problem. On one hand, I employ the theory of zeta integrals, along with the theta correspondence, to explore the relationship between the vanishing of periods of automorphic forms and the analytic properties of L-functions. On the other hand, I am interested in the Poisson summation conjecture, that offers a general framework to understand automorphic L-functions and their functional equations. Additionally, I am interested in applying these results to better understand functorial lifts and their connections to geometric structures.
Conferences: Aarhus Automorphic Forms Summer School & Conference (4-9 August 2025 and 11-15 August 2025).
Emails: armangute(at)math(dot)au(dot)dk armangute(at)gmail(dot)com