CV

Education

• B.S. in Mathematics and Applied Mathematics, School of Mathematical Sciences, Inner Mongolia University, Hohhot, China, Sept 2013 - June 2017
• Ph.D in Pure Mathematics, School of Mathematical Sciences, Fudan University, Shanghai, China, Sept 2017 - June 2022 Advisor: Engui Fan

Academic experience

• Jul 2024 - Present: Postdoc
  • SISSA, Trieste, Italy
  • Duties included: Researching
  • Supervisor: Professor Tamara Grava
• Aug 2022 - Jun 2024: Visiting Assistant Professor
  • University at Buffalo, State University of New York, Department of Mathematics
  • Duties included: Researching and teaching
  • Supervisor: Professors Gino Biondini and Barbara Prinari

Publications

• Published/Accepted:
  • Gino Biondini, Gregor Kovacic, Alexander Tovbis, Zachery Wolski and Zechuan Zhang, “Spectral theory for non-self-adjoint Dirac operators with periodic potentials and inverse scattering transform for the focusing nonlinear Schrödinger equation with periodic boundary conditions”, arXiv:2311.18127~[nlin.SI]. To appear in Physica D.
  • Zechuan Zhang, Taiyang Xu and Engui Fan, “On the asymptotic stability of N-soliton solutions for the defocusing mKdV equation with finite density type initial data: without stationary phase points on jump contour”, Phys. D, 472 (2025), Paper No. 134526, 18 pp.
  • Gino Biondini, Barbara Prinari and Zechuan Zhang, “Local and global well-posedness of the Maxwell-Bloch system of equations with inhomogeneous broadening”, Adv. Nonlinear Anal., 13 (2024), no. 1, Paper No. 20240054, 21 pp.
  • Taiyang Xu, Zechuan Zhang and Engui Fan, “On the Cauchy problem of defocusing mKdV equation with finite density initial data: long time asymptotics in solitonless regions”, J. Differential Equations, 372, 55–122 (2023)
  • Zechuan Zhang and Engui Fan, “Inverse scattering transform and multiple high-order pole solutions for the Gerdjikov- Ivanov equation under the zero/nonzero background”, Z. Angew. Math. Phys. 72, no. 4, Paper No. 153, 25 pp. (2021)
  • Zechuan Zhang and Engui Fan, “Inverse scattering transform for the Gerdjikov-Ivanov equation with nonzero boundary conditions”, Z. Angew. Math. Phys. 71, no. 5, Paper No. 149, 28 pp. (2020)
• Submitted
  • Gino Biondini and Zechuan Zhang, “Spectral theory for self-adjoint Dirac operators with periodic potentials and inverse scattering transform for the defocusing nonlinear Schrödinger equation with periodic boundary conditions”, arXiv: 2311.18127 [math.AP]

Presentations

• 2023 AMS Fall Eastern Sectional Meeting, session on Nonlinear Wave Equations and Integrable Systems, Sept 2023
• Applied Math Colloqium at Department of Mathematics, University of Central Florida, Jan 2024
• Applied Math Seminar at Department of Mathematics, University at Buffalo, Feb 2024
• INI Satellite Programme “Emergent Phenomena in Nonlinear DispersiveWaves”, Aug 2024
• 2024 International Conference on Water Waves and Bores, Sept 2024
• University of Kansas, Differential Equations / Dynamical Systems / Geometric Analysis Seminar, Apr 2025
• Dispersive Integrable Equations: Pathfinders in Infinite-Dimensional Hamiltonian Systems, Luminy, France, Apr 2025
• Wave dynamics, integrability and beyond conference, Sardinia, Italy, May 2025

Teaching

• State University of New York at Buffalo, Department of Mathematics
  • MTH 306, “Introduction to Differential Equations”, Spring 2024
  • MTH 241, “Calculus III”, Fall 2023
  • MTH 306, “Introduction to Differential Equations”, Spring 2023
• Fudan University, Department of Mathematics
  • “Recitation of Calculus II”, Spring 2018
  • “Recitation of Calculus I”, Fall 2017

Professional service

• Journal reviewer:
  • Studies in Applied Mathematics
  • The European Physical Journal Plus
  • Zeitschrift für angewandte Mathematik und Physik
  • Nonlinearity
  • Physica D
  • Journal of the London Mathematical Society
• Conferences:
  • 2024 Fall Southeastern Sectional Meeting, Savannah, GA: co-organizer, Oct 2024