Dr. Yang Lan  兰洋

I am currently a tenure track assistant professor at Yau Mathematical Sciences Center, Tsinghua University. Before that, I was a postdoc at Department of Mathematics and Computer Science in University of Basel. My mentor there was Prof. Enno Lenzmann. I obtained my Ph.D. in mathematics from Université Paris-Sud XI, under the supervision of Prof. Frank Merle and Prof. Thomas Duyckaerts. My research interests are on partial differential equations, analysis and mathematical physics.

Curriculum Vitae

Research

• • Preprints

    1. Strongly interacting multi-solitons for generalized Benjamin-Ono equations
       joint with Z. Wang, preprint arXiv: 2204.02715, to appear in Calc. Var. Partial Differential Equations.

    2. Stability of multi-solitons for the Benjamin-Ono equation
       joint with Z. Wang, preprint arXiv: 2302.14205.

    3. On the near soliton dynamics for the 2D cubic Zakharov-Kuznetsov equations
       joint with G. Chen and X. Yuan, preprint arXiv: 2407.00300, to appear in Comm. Math. Phys.

    4. Nonexistence of minimal mass blow-up solution for the 2D cubic Zakharov-Kuznetsov equation
       joint with G. Chen and X. Yuan, preprint arXiv: 2412.02131, to appear in SIAM J. Math. Anal.

  • Publications

• • 1. Blow-up dynamics for L2-critical fractional Schrödinger equations
       Int. Math. Res. Not. IMRN. 2022 (2022), no. 18, 13753–13810.

    2. On continuation properties after blow-up time for L2-critical gKdV equations
       Rev. Mat. Iberoamericana 36 (2020), no. 4, 957-984.

    3. On asymptotic dynamics for L2-critical generalized KdV equations with a saturated perturbation
       Anal. PDE 12 (2019), no. 1, 43-112.

    4. Blow-up solutions for L2-supercritical gKdV equations with exactly k blow-up points
       Nonlinearity 30 (2017), no. 8, 3203-3240.

    5. Stable self-similar blow-up dynamics for slightly L2-supercritical generalized KdV equations
       Comm. Math. Phys. 345 (2016), no. 1, 223-269.

• • Proceedings

    1. Stable self-similar blow-up dynamics for slightly L2-supercritical generalized KdV equations
       Séminaire Laurent Schwartz—Équations aux dérivées partielles et applications. Année 2015-2016, Exp. No. XIX, 9 pp., Ed. Éc. Polytech., Palaiseau, 2017.

  • Ph.D. thesis

• • • Dynamique asymptotique pour des équations de KdV généralisées L2-critiques et surcritiques
      Defended on June 2, 2017 at IHÉS. Defense slides.

Teaching

• • Fall 2024: Partial differential equation I, lecturer, Tsinghua University

  • Spring 2024: Functional analysis, lecturer, Tsinghua University

  • Fall 2023: Partial differential equation I, lecturer, Tsinghua University

  • Spring 2023: Functional analysis, lecturer, Tsinghua University

  • Fall 2022: Functional analysis, lecturer, Tsinghua University

  • Spring 2022: Analysis-0, lecturer, Tsinghua University

  • Fall 2021: Functional analysis, lecturer, Tsinghua University

  • Spring 2021: Nonlinear functional analysis, lecturer, Tsinghua University

  • Fall 2019: Complex analysis, lecturer, University of Basel.

  • Spring 2019: Analysis and partial differential equations II, teaching assistant, University of Basel.

  • Fall 2018: Analysis and partial differential equations I, teaching assistant, University of Basel.

  • Spring 2018: Theory of partial differential equations, teaching assistant, University of Basel.

  • Fall 2017: Calculus of variations, teaching assistant, University of Basel.

Last update: Aug. 2025.