IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Yi Sun

  • Assistant Professor
  • Department of Mathematics
  • University of South Carolina


Education

Ph.D. Applied & Computational Mathematics Princeton University 2006
M.S. Computational Mathematics Peking University, Beijing, China 2002
B.S. Computational Mathematics Peking University, Beijing, China 1999

Experience

2011 – Present Assistant Professor Department of Mathematics, Univ. of South Carolina
2009 – 2011 Postdoctoral Research Fellow Statistical and Applied Mathematical Sciences Institute
2006 – 2009 Research Scientist Courant Institute, NYU

Research

Research Interests

  • Multiscale analysis, modeling and simulation in solids, fluid mechanics, chemistry and biology
  • Mathematical modeling and computation of biomaterials, complex biofluids, and cellular dynamics
  • Mathematical and computational neuroscience: dynamical system and chaos in neuronal networks
  • Network dynamics and flows: modeling, analysis and simulation for traffic flow
  • Numerical methods for partial differential equations and interface tracking
  • Numerical optimization and inverse problems in mathematical physics

Current Projects

  • Mathematical modeling and simulation of organ biofabrication
  • Multiscale methods for epitaxial growth and traffic flows
  • Large-scale simulations of Hodgkin-Huxley neuronal network dynamics

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Teaching Activities

Current Courses

  • MATH 141 - Calculus I
  • MATH 544 - Linear Algebra

Previous Courses

  • MATH 242 - Elementary Differential Equations
  • MATH 544 - Linear Algebra

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Honors and Other Special Scientific Recognition

  • NSF Joint Math Institutes' Postdoctoral Fellowship, NSF/SAMSI 09/2009 - 08/2011
  • Junior Oberwolfach Fellows, 06/2009

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Selected Publications

  • Yi Sun, Russel Caflisch and Bjorn Engquist, A multiscale method for epitaxial growth, SIAM Multiscale Model. Simul., 9 (2011), pp.335--354.
  • Yi Sun and Bjorn Engquist, Heterogeneous multiscale methods for interface tracking of combustion fronts, SIAM Multiscale Model. Simul., 5 (2006), pp.532--563.
  • Yi Sun, Aaditya V. Rangan, Douglas Zhou and David Cai, Coarse-grained event tree analysis for quantifying Hodgkin-Huxley neuronal network dynamics, J. Comput. Neurosci., 32, (2011), accepted.
  • Yi Sun, Douglas Zhou, Aaditya V. Rangan and David Cai, Pseudo-Lyapunov exponents and predictability of Hodgkin-Huxley neuronal network dynamics, J. Comput. Neurosci., 28, (2010) pp.247--266.
  • Yi Sun, Douglas Zhou, Aaditya V. Rangan and David Cai, Library-based numerical reduction of the Hodgkin-Huxley neuron for network simulations, J. Comput. Neurosci., 27, (2009) pp.369--390.

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Curriculum Vitae

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