Deniz Bilman
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  • Talks
    • Seminar, University of Oregon, Eugene, OR
    • Seminar, University of California Santa Cruz, Santa Cruz, CA
    • Seminar, University of Wisconsin-Madison, Wisconsin, MI
    • Seminar, Institut de Recherche Mathématique de Rennes, Rennes, France
    • AMS Fall Sectional Meeting, Special Session 'Integrability and Randomness', Tulane University, New Orleans, GA
    • WaDIB: Wave Dynamics, Integrability, and Beyond, Santa Margherita di Pula, Sardinia, Italy
    • Universality, Nonlinearity, and Integrability: In Honor of Percy Deift's 80th Birthday, KIAS, Seoul, Korea
    • Conference on 'Dispersive Integrable Equations: Pathfinders in Infinite-Dimensional Hamiltonian Systems', CIRM, Luminy, France
    • IMACS Nonlinear Wave Conference, Special Session 'Advances in Integrable Systems and Inverse Scattering', Athens, GA
    • AMS Spring Sectional Meeting, Special Session 'Analysis of Nonlinear Wave Models', University of Kansas, Lawrence, KS
    • AMS Spring Sectional Meeting, Special Session 'Recent Advances in the Analysis of Integrable Systems', University of Kansas, Lawrence, KS
    • Seminar, SUNY University at Buffalo, Buffalo, NY
    • Seminar, University Washington, Seattle, WA
    • Seminar, 'Emergent phenomena in Nonlinear Dispersive Waves' Programme of Isaac Newton Institute, Northumbria University, Newcastle Upon Tyne, UK
    • SIAM Nonlinear Waves and Coherent Structures Conference 2024, Special Session 'Recent Developments in Dispersive Partial Differential Equations', Baltimore, MD
    • AMS Spring Sectional Meeting, Special Session 'Nonlinear Hamiltonian PDEs', Washington, DC
    • Seminar, University of Kansas, Lawrence, KS
    • Colloquium, University of Indiana-Purdue University at Indianapolis, Indianapolis, IN
  • Blog
    • New paper!
    • Special session at the IMACS Conference 2025 in Athens, GA
    • New paper!
    • RogueWaveInfiniteNLS.jl software package for Julia
    • Special session at the AMS Joint Math Meeting 2025 in Seattle, WA
  • Publications
    • Efficient computation of soliton gas primitive potentials
    • General rogue waves of infinite order: exact properties, asymptotic behavior, and effective numerical computation
    • Extreme superposition: high-order fundamental rogue waves in the far-field regime
    • RogueWaveInfiniteNLS.jl
    • Computation of large-genus solutions of the Korteweg-de Vries equation
    • Broader universality of rogue waves of infinite order
    • Far-field asymptotics for multiple-pole solitons in the large-order limit
    • On numerical inverse scattering for the Korteweg-de Vries equation with discontinuous step-like data
    • Extreme superposition: rogue waves of infinite order and the Painlevé-III hierarchy
    • Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation
    • Benchmarking numerical methods for lattice equations with the Toda lattice
    • A robust inverse scattering transform for the focusing nonlinear Schrödinger equation
    • Discrete integrable systems, Darboux transformations, and Yang–Baxter maps
    • Numerical inverse scattering for the Toda lattice
    • On the evolution of scattering data under perturbations of the Toda lattice
  • Teaching
    • Numerical Linear Algebra
      • Lecture 1
      • Lecture 2
      • Lecture 3
      • Lecture 4
      • Lecture 4 (Applications)
      • Lecture 5
      • Lecture 6
      • Lecture 7
      • Lecture 8
      • Lecture 10
      • Lecture 11
      • Lecture 12
      • Lecture 13
      • Lectures 14-15
      • Lecture 16
      • Lecture 17
      • Lecture 20
      • Lecture 21
      • Lecture 22
      • Lecture 23
      • Lecture 24
      • Lecture 25
      • Lecture 26
      • Lecture 27
      • Lecture 28
    • Ordinary Differential Equations
      • Lecture 1
      • Lecture 2
      • Lecture 3
      • Lecture 4
      • Lecture 5
      • Lecture 6
      • Lecture 7
      • Lecture 8
      • Lecture 9
      • Lecture 10
      • Lecture 11
      • Lecture 12
      • Lecture 13
      • Lecture 14
      • Lecture 15
      • Lecture 16
      • Lecture 17
      • Lecture 18
      • Lecture 19
      • Lecture 20
      • Lecture 21
      • Appendix 1
      • Appendix 2
    • Partial Differential Equations
      • Lecture 1
      • Lecture 2
      • Lecture 3
      • Lecture 4
      • Lecture 5
      • Lecture 6
      • Lecture 7
      • Lecture 8
      • Lecture 9
      • Lecture 10
      • Lecture 11
      • Lecture 12
      • Lecture 13
      • Lecture 14
      • Lecture 15
      • Lecture 16
      • Lecture 17
      • Lecture 18
      • Lecture 19
      • Appendix 1
  • Papers in Preparation
    • General rogue waves of infinite order: double-scaling asymptotics
    • Solitons of fractional order: interpolating between coherent structures
    • Infinite-order solutions of the modified Korteweg-de Vries equation
    • Asymptotic behavior of large-order soliton solutions of the modified Korteweg-de Vries equation
    • Far-field symptotics of large-order breathers for the sine-Gordon equation
    • Long-time development of initial data with spectral pole singularities
    • Long-time asymptotics for the Korteweg-de Vries equation
    • Contact
  • Film/TV Work
  • Outreaches
    • Member of the Organizing Committee, UC Math Bowl Competition (since Fall 2019)
    • Curriculum Developer and Instructor, CHANCE Program, UIC (2014, 2015, 2016)
  • Talks and Outreach

AMS Spring Sectional Meeting, Special Session 'Nonlinear Hamiltonian PDEs', Washington, DC

Apr 15, 2024 · 0 min read
Last updated on Apr 15, 2024
Deniz Bilman
Authors
Deniz Bilman
Assistant Professor
← SIAM Nonlinear Waves and Coherent Structures Conference 2024, Special Session 'Recent Developments in Dispersive Partial Differential Equations', Baltimore, MD Jun 15, 2024
Seminar, University of Kansas, Lawrence, KS Apr 1, 2024 →

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