Oscar E. Quesada-Herrera

Ph.D. Student, Mathematics

Instituto de Matemática Pura e Aplicada (IMPA), Estrada Dona Castorina 110, Rio de Janeiro, Brasil oscarqh@impa.br I am a fourth-year Ph.D. student in mathematical analysis, working under the supervision of Emanuel Carneiro. I am especially interested in topics at the interface of harmonic analysis and analytic number theory. ResearchGate profile

Research:

My research pivots around Fourier analysis and its relations to number theory.
I have been interested in topics from the uncertainty principle in Fourier analysis,
to its relation to Fourier optimization problems that appear in connection with
quadratic forms and the distribution of prime numbers. I have also studied questions
regarding the theory of the Riemann zeta function. Here are my papers and preprints:

1. Fourier optimization and quadratic forms,
   (with A. Chirre),
   2020, preprint.
   
   
2. The second moment of Sn(t) on the Riemann Hypothesis,
   (with A. Chirre),
   2020, preprint.
   
   
3. Generalized sign Fourier uncertainty,
   (with E. Carneiro),
   2020, preprint.