List of Talks

Invited Talks

  1. Sep, 2022(II): Workshop on Analysis of dispersive hydrodynamic systems, The Isaac Newton Institute, Cambridge University, UK.
    Presentation: Recent Developments in Spectral Theory of Focusing NLS Soliton Gases: Average Densities, Fluxes and Periodic Gases.
  2. Sep, 2022(I): SIAM Conference on Nonlinear Waves and Coherent Structures (NWCS22), University of Bremen, Bremen, Germany.
    Presentation: Recent developments in spectral theory of the focusing NLS soliton/breather gases.
  3. Jun, 2022: Workshop on Nonlinear and Modern Mathematical Physics, Florida Agricultural and Mechanical University, Tallahassee, FL.
    Presentation: Recent developments in spectral theory of the focusing NLS.
  4. Apr, 2022: The Twelfth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, University of Georgia, Athens, GA.
    Presentation: Recent developments in spectral theory of the focusing NLS soliton/breather gases.
  5. Oct, 2021: Integrable Systems and Random Matrix Theory Seminar, University of Michigan, MI.
    Presentation: A dbar-steepest descent analysis for the long-time asymptotic behavior of oscil- latory Riemann-Hilbert problems.
  6. May, 2019: Workshop on Nonlinear and Modern Mathematical Physics, University of Hawaii at Manoa, Honolulu, HI.
    Presentation: Long-time asymptotics for the AKNS system.

Integrable system and approximation theory seminars at University of Central Florida

  1. Jun, 2022 Elliptic solutions to the KP hierarchy and elliptic Calogero-Moser model.
  2. Nov, 2021 Integral equation of the first kind with logarithmic kernel.
  3. Sep, 2021 Continuum limit of theta function.

Graduate Seminars at University of South Florida

  1. Oct, 2021 The Continuum Limit of Theta Functions.
  2. March, 2021 A short Introduction to the Theta Functions.
  3. May, 2020 An elementary introduction to Fredholm Determinant.
  4. Mar, 2020 Introduction to the Riemann-Hilbert Problem in \(L^p\)-space.
  5. Oct, 2019 What is ... inverse scattering?
  6. Sep, 2019 An Introduction to the Riemann-Hilbert Problems on the real line.
  7. Jun, 2019 Some fundamental formulas(Plemelj-Privalov) on the Cauchy-type integrals.

Differential Equations Seminars at University of South Florida

  1. Sep, 2020 Derivation of the NLS equation from Maxwell’s Equations.
  2. Apr, 2020 \(L^2\)-bijectivity of scattering and inverse scattering in some Sobolev spaces.
  3. Mar, 2020 \(\bar\partial\) method and its application to nonlinear evolution equations.
  4. Sep, 2020 Inverse scattering and N-soliton solution for the nonlocal nonlinear Schrödinger equation.
  5. Mar, 2019 Asymptotic solutions of the nonlinear Schrödinger equation based on conservation laws.
  6. Oct, 2018 The emergence of solitons of the Korteweg-de Vries Equation from sufficiently decaying initial conditions.