Jeffrey A. Oregero
University of KansasDepartment of Mathematics
1460 Jayhawk Blvd.
Lawrence, KS 66045, USA
Office: 541 Snow Hall
E-mail: oregero [at] ku [dot] edu
Jeffrey A. OregeroUniversity of KansasDepartment of Mathematics 1460 Jayhawk Blvd. Lawrence, KS 66045, USA Office: 541 Snow Hall E-mail: oregero [at] ku [dot] edu |
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Currently, I'm a Visiting Assistant Professor at the University of Kansas in Lawrence, KS. Prior to that I held postdoctoral positions at the University of Central Florida in Orlando, FL, and at the Mathematical Sciences Research Institute in Berkeley, CA (now the Simons Laufer Mathematical Sciences Institute). In 2021 I received my PhD in mathematics from the State University of New York at Buffalo under the supervision of Professor Gino Biondini. My research is concerned with the analysis of partial differential equations (PDEs) arising in mathematical physics with a particular interest in nonlinear dispersive equations, integrable systems, spectral and inverse spectral theory, singular asymptotics, and soliton gases. Recently, I've been studying problems related to the modulational instability (or Benjamin-Feir instability) of periodic wave trains using rigorous functional-analytic techniques as well as problems related to the long-time asymptotic analysis of integrable nonlinear PDEs via the nonlinear steepest descent method for oscillatory Riemann-Hilbert problems.