Liliana Esquivel

I am an Assistant Professor of Mathematics at the University of Puerto Rico at Mayagüez and originally from Colombia. My research focuses on the analysis of dispersive and nonlocal partial differential equations, with particular emphasis on initial-boundary value problems and low-regularity phenomena. I am especially interested in understanding how boundary effects and stochastic perturbations influence the behavior of nonlinear dispersive models.

My work lies at the intersection of harmonic analysis, PDE theory, and mathematical physics, with connections to wave propagation, fluid dynamics, and nonlinear optics.

In parallel, I am committed to mentoring undergraduate students and supporting their transition to graduate studies in mathematics, particularly in Latin American contexts.

My CV is available here. See also my ORCID and Google Scholar accounts.