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Siran Li   李思然

(Courtesy due to Dr. Betul Orcan-Ekmekci and Dr. Yixing Wu)

I am a (tenure-track) associate professor in mathematics at Shanghai Jiao Tong University. My research interests lie in analysis, PDE (Partial Differential Equation), calculus of variations, and applied maths. My CV can be found here.

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From 2009--2013 I read maths (BA) at Columbia University, NY. I obtained my D.Phil. from the University of Oxford, UK in 2017 under the supervision of Prof. Gui-Qiang G. Chen. My postdoctoral mentor at Rice University (Houston, USA) is Prof. Robert M. Hardt. I am very lucky to work with both of them, as well as many other fantastic mathematicians and scientists. Before joining Shanghai Jiao Tong University, I  was an adjunct associate professor at New York University (Shanghai) from 2020--2022.

Research Interests

  • Partial differential equations arising in geometry and physics.

  • Geometric analysis and global analysis; the isometric immersions problem.

  • Applied mathematics: continuum mechanics and statistics.

News

* (2023.09.01) Jianing Yang (now in her 2nd year of PhD) and I submitted the preprint: Characterisations for the depletion of reactant in a one-dimensional dynamic combustion model, ArXiv: 2308.16506. 

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Recent Talks and Visits​

  • AMMSC plenary lecture, Universite Wilfrid Laurier,  Waterloo, Canada (August 2023)

  • PDE seminar, University of Oxford, UK (July 2023)

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Selected Publications

  • The Weyl problem of isometric immersions revisited, Bull. Lond. Math. Soc. 53 (2021), 220–230. [link]

  • (with G.-Q. Chen) Weak continuity of Cartan’s structural equation on semi-Riemannian manifolds with lower regularity, Arch. Ration. Mech. Anal. 241 (2021), 579–641. [link]

  • (with G.-Q. Chen and M. Slemrod) On asymptotic rigidity and continuity problems in nonlinear elasticity, J. Math. Pures Appl. (9) 160 (2022), 29–53. [link]

  • Gaussian kernels on non-simply-connected closed Riemannian manifolds are never positive definite, accepted by Bull. Lond. Math. Soc. (2023), ArXiv Preprint: 2303.06558.

  • (with H. Ni and Q. Zhu) Small mass limit of expected signature for physical Brownian motion, ArXiv Preprint: 2305.00343. [link]

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Honours and Awards

  • NSFC No. 1220139, 国家自然科学基金青年项目.

  • Shanghai Jiao Tong University -- University College London joint seed fund #WH610160507/067 (with Prof. Hao Ni from UCL).

  • AMMSC Kolmogorov--Wiener Prize for Young Researchers, Canada.

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Teaching

  • 2023 Fall (now):

  • 2023 Spring:      

  • 2022 Fall: 

  • 2022 Spring:     

  • 2021 Fall: 

  • 2021 Spring: 

  • Earlier:

Analysis (graduate) and Honours Analysis III (致远荣誉学院)

Functional Analysis

Analysis (graduate)

Functional Analysis, ODE, and Honours Linear Algebra II

Analysis (graduate) and Honours Linear Algebra I

Honours Linear Algebra II and PDE

Please refer to CV.

Service

  • Referee for  Analysis (Berlin), Journal of Physics A, Quarterly Journal of Mechanics and Applied Mathematics, Discrete Dynamics in Nature and Society,  Advances in Mathematics, Journal of Functional Analysis, SIAM Journal of Mathematical Analysis, Mathematical Problems in Engineering, Acta Mathematica Scientia, Journal of Function Spaces, Symmetry, Chinese Annals of Mathematics Series B, Journal of London Mathematical Society (quick opinion), Mathematical Problems in Engineering, Mathematics, Advances in Nonlinear Studies (J. Spruck special issue), New Journal of Physics.

  • Reviewer for zbMATH and MathSciNet.

  • Supervision for PhD students: Jianing Yang (since 2023).

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