Hello!

I am an assistant professor of mathematics at the University of Cincinnati. My research interests lie primarily in nonlinear waves, integrable systems, and dispersive PDEs.

Previously, I was a postdoc at the University of Michigan (2015–2019). My PhD thesis advisor was Irina Nenciu and my thesis was on Hamiltonian perturbations of the doubly-infinite Toda lattice.

I currently serve as the secretary for the SIAM Activity Group Nonlinear Waves and Coherent Structures and on the junior editorial board of Studies in Applied Mathematics.

My research is supported by funds from the National Science Foundation and Simons Foundation.

Research Grants & Fellowships

  • National Science Foundation, “Emergent Directions in Asymptotics for Nonlinear Wave Models,” $199,995, 2025–2028.
  • Simons Foundation, “Asymptotic and Universal Phenomena in Nonlinear Waves,” $35,000, 2024–2029.
  • National Science Foundation, “Applied Analysis for Emergent Nonlinear Wave Phenomena,” $195,997, 2021–2025.
  • Simons Foundation, “Universal Wave Patterns,” $40,000, 2021–2026. (Withdranwn in favor of the NSF Grant DMS-2108029 due to Simons Foundations’ policy on concurrent funding at the time.)
  • Taft Research Center Summer Research Fellowship, “Rogue Waves in Various Media,” $8000, Summer 2020.
  • American Mathematical Society and Simons Foundation, AMS-Simons Travel Grant, $4000, 2017–2019.

Awards & Honors

  • Outstanding Reviewer Award, Nonlinearity journal (London Mathematical Society and IOP Publishing), 2021.
  • Honored Instructor Award, University Michigan, 2019. Nominated and chosen by students “for having an impact on their lives and academic careers.”
  • The B. Alan Taylor Award, University of Michigan, 2017. Given by the Department of Mathematics “for excellence in teaching, mentoring, and research.”
Interests
  • Nonlinear waves
  • Integrable systems
  • Riemann-Hilbert problems
  • Dispersive PDEs
Education
  • PhD in Mathematics

    University of Illinois at Chicago

  • BSci & MSci in Mathematics

    Bogazici University

Papers in Preparation
(2024). Infinite-order solutions of the modified Korteweg-de Vries equation.
(2024). Far-field symptotics of large-order breathers for the sine-Gordon equation.
(2024). Long-time development of initial data with spectral pole singularities.
(2024). Long-time asymptotics for the Korteweg-de Vries equation.
Publications

Click on the title of a publication to see more information, the abstract, featured plots or supplementary data. The ArXiv preprints do not reflect the final version of the published article.

(2025). Efficient computation of soliton gas primitive potentials. Preprint.
(2024). Extreme superposition: high-order fundamental rogue waves in the far-field regime. Memoirs of the American Mathematical Society.
(2024). RogueWaveInfiniteNLS.jl. Software package for Julia.
(2023). Computation of large-genus solutions of the Korteweg-de Vries equation. Physica D.
(2022). Broader universality of rogue waves of infinite order. Physica D.
(2021). Far-field asymptotics for multiple-pole solitons in the large-order limit. Journal of Differential Equations.
(2020). Extreme superposition: rogue waves of infinite order and the Painlevé-III hierarchy. Duke Mathematical Journal.
(2018). Benchmarking numerical methods for lattice equations with the Toda lattice. Applied Numerical Mathematics.
(2017). A robust inverse scattering transform for the focusing nonlinear Schrödinger equation. Communications on Pure and Applied Mathematics.
(2017). Discrete integrable systems, Darboux transformations, and Yang–Baxter maps. CRM Series in Mathematical Physics.
(2017). Numerical inverse scattering for the Toda lattice. Communications in Mathematical Physics.