CURRICULUM VITAE
EDUCATION
Ph.D. in Mathematics, UCLA, June 2005
       Thesis: "Inverse Scattering Problems for System of Differential Operators"
       Advisors: Prof. Gregory Eskin and Prof. James Ralston
M.S.  in Mathematics, Peking University, China, July 2000
       Thesis: "A Priori Estimate, Existence and Asymptotics of Positive Solutions of Semi-Linear Elliptic System"
       Advisor: Prof. Kung-Ching Chang
B.S.  in Mathematics, Peking University, China, July 1997
APPOINTMENTS
Acting Assistant Professor, University of Washington, 2005 -- Present
       Mentors: Prof. Gunther Uhlmann and Prof. Hart Smith
Research Fellow, Institute for Pure and Applied Mathematics, USA, Fall 2003
RESEARCH INTERESTS
  • Partial Differential Equations, Inverse Problems, Microlocal Analysis, Scattering Theory
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  • Financial Mathematics, Stochastic Partial Differential Equations
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  • Non-Linear Functional Analysis, Variational Methods
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    AWARDS AND HONORS
  • PIMS Postdoctoral Fellow, Pacific Institute for the Mathematical Sciences, Canada, 2006 -- 2007.
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  • Dissertation Year Fellowship, UCLA, 2004 -- 2005.
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  • IPAM/NSF Research Stipend Award, Institute for Pure and Applied Mathematics, USA, Fall 2003.
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    PUBLICATIONS
    1. Xiaosheng Li, "Inverse scattering problem for the Schrödinger operator with external Yang-Mills potentials
        in two dimensions at fixed energy", Comm. in PDE, 30:451-482, 2005.
    2. Xiaosheng Li, "On the inverse problem for the Dirac operator", Inverse Problems, 23:919-932, 2007.
    3. Horst Heck, Xiaosheng Li and Jenn-Nan Wang, "Identification of viscosity in an incompressible fluid",
        Indiana Univ. Math. J., 56:2489-2510, 2007.
    4. Xiaosheng Li and Jenn-Nan Wang, "Determination of viscosity in the stationary Navier-Stokes equations",
        J. Differential Equations, 242:24-39, 2007.
    PRESENTATIONS
  • Conference on Applied Inverse Problems 2007: Theoretical and Computational Aspects, University of British
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        Columbia, Vancouver, Canada. (June 2007)
  • Symposium on Inverse Problems Honoring Alberto Calderon, IMPA, Rio de Janeiro, Brazil. (January 2007)
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  • Inverse Problems Seminar, University of Washington. (November 2006)
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  • Inverse Problems in Applied Sciences--towards breakthrough--, Hokkaido University, Sapporo, Japan. (July 2006)
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  • IPAM Inverse Problems Reunion Conference II, California. (June 2006)
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  • IPAM Inverse Problems Reunion Conference I, California. (June 2005)
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  • Analysis Seminar, UCLA. (May 2004)
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  • IPAM Inverse Problems Culminating Workshop at Lake Arrowhead, California. (December 2003)
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  • Learning Seminar on Inverse Problems, Inverse Problems: Computational Methods and Emerging Applications,
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        IPAM, UCLA. (October 2003)
    SELECTED PRESENTATIONS SLIDES
  • "Determination of viscosity in the stationary Navier-Stokes equations"
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  • "Identification of Viscosity in an Incompressible Fluid"
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  • "Inverse Boundary Value Problem for the Dirac Operator"
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  • "Inverse Scattering Problem for the Schrödinger Operator with External Yang-Mills Potentials in Two Dimensions"
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  • "Introduction to Carleman Estimates"
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    REFEREE JOB
    Proceedings of the American Mathematical Society
    SUMMER SCHOOLS
  • Summer School on Inverse Problems in Radiative Transfer, University of Washington. (June 2007)
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  • Seismic Imaging Summer School, University of Calgary, Calgary, Canada. (August 2006)
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  • PIMS-MITACS-VIGRE Summer Graduate School on Inverse Problems, University of Washington. (August 2005)
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